% source(93/10/26): ftp elib.zib-berlin.de:/pub/netlib/bib/intbib.bib.Z
%
%
% This is a list of references concerning interior point methods for
% mathematical programming.
% Compiled by : Dr. Eberhard Kranich
%               Dept. of  Mathematics 7
%               University of Wuppertal
%               Gauss-str. 20
%               D-42097 Wuppertal 1
%               Germany
%               e-mail : puett at math.uni-wuppertal.de
%                        Eberhard.Kranich at math.uni-wuppertal.de
%                        puett at wmwap1.math.uni-wuppertal.de
%               phone  : (++49) (202) 439 2659
%               FAX    : (++49) (202) 439 2658
%
% The user is kindly requested to send corrections and/or additions
% to this current bibliography to the forementioned address. This
% concerns especially to talks based on an existing, but not
% listed technical report.
%
% First of all, the author is deeply indebted to Irv Lustig, Princeton. His
% salient encouragement and cooperation have influenced the development and
% publication of this bibliography.
% Based on Lustig's idea "to indicate that something is a talk" (because,
% sometimes, a talk and the corresponding report differs only in title) the
% author has rewritten his Discussion Paper published at the FernUniversitaet
% Hagen, May 1991.
%
% At last, the author is obliged to Eric Grosse and Dave Gay for making this
% bibliography available via NETLIB.
%
% Current number of references : 1383
%
% Last edit : August 13, 1993
%
%
%

@InCollection{int:Abhyankar1,
  author =       "S. S. Abhyankar and T. L. Morin and T. B. Trafalis",
  title =        "Efficient faces of polytopes~: {I}nterior point
                 algorithms, parameterization of algebraic varieties,
                 and multiple objective optimization",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "319--341",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Adler1,
  author =       "I. Adler",
  title =        "A primal--dual implementation of {K}armarkar's
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Atlanta, GA, USA}",
  year =         "1985",
  month =        nov,
  institution =  "Operations Research Center, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Adler2,
  author =       "I. Adler and R. D. C. Monteiro",
  title =        "Limiting behavior of the affine scaling continuous
                 trajectories for linear programming problems",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "29--51",
}

@Article{int:Adler3,
  author =       "I. Adler and R. D. C. Monteiro",
  title =        "A geometric view of parametric linear programming",
  journal =      "Algorithmica",
  volume =       "8",
  year =         "1992",
  pages =        "161--176",
}

@TechReport{int:Adler4,
  author =       "I. Adler and G. Veiga",
  title =        "On implementing interior point methods for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Los Angeles, CA, USA}",
  year =         "1986",
  month =        apr,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler5,
  author =       "I. Adler and N. K. Karmarkar and G. Veiga",
  title =        "Implementing an interior point algorithm for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler6,
  author =       "I. Adler and N. K. Karmarkar and M. G. C. Resende and
                 G. Veiga",
  title =        "Implementation of an interior point algorithm for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler7,
  author =       "I. Adler and {M. de} Carvalho and M. G. C. Resende and
                 G. Veiga",
  title =        "Computational performance of variants of {K}armarkar's
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St. Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler8,
  author =       "I. Adler and {M. de} Carvalho and M. G. C. Resende and
                 G. Veiga",
  title =        "A {Monte--Carlo} study of variants of interior point
                 algorithms",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Adler9,
  author =       "I. Adler and N. K. Karmarkar and M. G. C. Resende and
                 G. Veiga",
  title =        "Data structures and programming techniques for the
                 implementation of {K}armarkar's algorithm",
  journal =      "ORSA Journal on Computing",
  volume =       "1",
  year =         "1989",
  pages =        "84--106",
}

@Article{int:Adler10,
  author =       "I. Adler and N. K. Karmarkar and M. G. C. Resende and
                 G. Veiga",
  title =        "An implementation of {K}armarkar's algorithm for
                 linear programming",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "297--335",
  note =         "Errata in {\em Mathematical Programming}, 50:415,
                 1991",
}

@TechReport{int:Adler11,
  author =       "I. Adler and R. D. C. Monteiro",
  title =        "An interior point algorithm applied to a class of
                 convex separable programming problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler12,
  author =       "I. Adler",
  title =        "Implementation issues of path--following algorithms
                 for linear programming",
  type =         "{Talk held at the EURO/TIMS Joint International
                 Conference on Operational Research in Paris, France}",
  year =         "1988",
  month =        jul,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Adler13,
  author =       "I. Adler",
  title =        "Computational tests of the {K}armarkar algorithm",
  type =         "{Talk held at the SIAM Conference on Optimization in
                 Houston, TX, USA}",
  year =         "1987",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@InCollection{int:Adler14,
  author =       "I. Adler and R. D. C. Monteiro",
  title =        "Limiting behavior of the affine scaling continuous
                 trajectories for linear programming problems",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "189--211",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Akguel1,
  author =       "M. Akg{\" u}l",
  title =        "A short proof of {K}armarkar's main result",
  journal =      "Do{\u g}a T{\" u}rk Matematik Dergisi (= Turkish
                 Journal of Mathematics, Ankara)",
  volume =       "14",
  year =         "1990",
  pages =        "48--55",
}

@Article{int:Akguel2,
  author =       "M. Akg{\" u}l",
  title =        "On the exact solution of a system of linear
                 homogeneous equations via a projective algorithm",
  journal =      "Arabian Journal for Science and Engineering",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "753--754",
}

@InCollection{int:Alizadeh1,
  author =       "F. Alizadeh",
  title =        "A sublinear--time randomized parallel algorithm for
                 the maximum clique problem in perfect graphs",
  booktitle =    "Proceedings of the Second ACM--SIAM Symposium on
                 Discrete Algorithms",
  year =         "1991",
  month =        jan,
  pages =        "188--194",
  address =      "San Francisco, CA, USA",
}

@InCollection{int:Alizadeh2,
  author =       "F. Alizadeh",
  title =        "Optimization over the positive semi-definite cone\ :
                 {I}nterior--point methods and combinatorial
                 applications",
  booktitle =    "Advances in Optimization and Parallel Computing",
  editor =       "P. M. Pardalos",
  year =         "1992",
  pages =        "1--25",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@InCollection{int:Alizadeh3,
  author =       "F. Alizadeh",
  title =        "Combinatorial optimization with semi--definite
                 matrices",
  booktitle =    "Proceedings of the Second Integer Programming and
                 Combinatorial Optimization (IPCO) Conference",
  editor =       "E. Balas and G. Cornu{\'e}jols and R. Kannan",
  year =         "1992",
  pages =        "385--405",
  publisher =    "Carnegie--Mellon University",
  address =      "Pittsburg, PA, USA",
}

@PhdThesis{int:Alizadeh4,
  author =       "F. Alizadeh",
  title =        "Combinatorial optimization with interior point methods
                 and semi--definite matrices",
  year =         "1991",
  school =       "University of Minnesota",
  address =      "Minneapolis, Minnesota, USA",
}

@TechReport{int:AlSultan1,
  author =       "K. S. {Al--Sultan}",
  title =        "A {Newton} based radius reduction algorithm for
                 nearest point problems in pos cones",
  type =         "{Technical Report}",
  year =         "1991",
  month =        jan,
  institution =  "Systems Engineering Department, King Fahd University
                 of Petroleum and Minerals",
  address =      "Dhahran, Saudi Arabia",
  note =         "Revised May 1992. To appear in {\em ORSA Journal on
                 Computing}",
}

@TechReport{int:Altman1,
  author =       "A. Altman and J. Gondzio",
  title =        "An efficient implementation of a higher order
                 primal--dual interior point method for large sparse
                 linear programs",
  type =         "{Technical Report}",
  number =       "ZTSW--1/A214/92",
  year =         "1992",
  month =        jun,
  institution =  "Systems Research Institute, Polish Academy of
                 Sciences",
  address =      "Newelska6, PL--01--447~Warshaw, Poland",
  note =         "Revised September 1992. To appear in {\em Archives of
                 Control Sciences}",
}

@TechReport{int:Altman2,
  author =       "A. Altman and J. Gondzio",
  title =        "{\em HOPDM} -- {A} higher order primal--dual method
                 for large scale linear programming",
  type =         "{Program Manual}",
  year =         "1992",
  month =        jul,
  institution =  "Systems Research Institute, Polish Academy of
                 Sciences",
  address =      "Newelska6, PL--01--447~Warshaw, Poland",
  note =         "To appear in {\em European Journal of Operations
                 Research}",
}

@TechReport{int:Andersen1,
  author =       "J. Andersen and R. Levkovitz and G. Mitra and M.
                 Tamiz",
  title =        "Adopting interior search algorithms for the solution
                 of {LP}s for serial, coarse grain parallel and
                 massively parallel computers",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Mathematics and Statistics, Brunel
                 University",
  address =      "Uxbridge, Middlesex~UB8~3PH, UK",
}

@TechReport{int:Andersen2,
  author =       "J. Andersen and G. Mitra",
  title =        "Solving the {N}ewton iteration step of the interior
                 point method on massively parallel ({SIMD}) computer",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Dept.\ of Mathematics and Statistics, Brunel
                 University",
  address =      "Uxbridge, Middlesex~UB8~3PH, UK",
}

@TechReport{int:Andersen3,
  author =       "K. D. Andersen",
  title =        "An infeasible dual affine scaling method for linear
                 programming",
  type =         "Preprints 1993",
  number =       "No.\,29",
  year =         "1993",
  month =        jul,
  institution =  "Dept.\ of Mathematics and Computer Science, Odense
                 University",
  address =      "DK--5320~Odense~M, Denmark",
  note =         "To appear in {\em COAL Newsletter}",
}

@Article{int:Andrusenko1,
  author =       "S. K. Andrusenko and E. A. Nurminskii and P. I.
                 Stetsyuk",
  title =        "Numerical experiments in a new class of algorithms in
                 linear programming",
  journal =      "Zhurnal Vychislitel'noi Matematiki~i~ Matematicheskoi
                 Fiziki (Moscow)",
  volume =       "27",
  year =         "1987",
  pages =        "349--356",
  note =         "Translated in~: {\em USSR Computational Mathematics
                 and Mathematical Physics}, 27(2):18--22, 1987",
}

@Article{int:Angier1,
  author =       "N. Angier",
  title =        "Folding the perfect corner",
  journal =      "Time Magazin",
  volume =       "124",
  year =         "1984",
  month =        dec # " 3,",
  pages =        "55",
}

@TechReport{int:Anstreicher1,
  author =       "K. M. Anstreicher",
  title =        "Analysis of a modified {K}armarkar algorithm for
                 linear programming",
  type =         "{Technical Report}",
  number =       "B\#84",
  year =         "1985",
  month =        aug,
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@TechReport{int:Anstreicher2,
  author =       "K. M. Anstreicher",
  title =        "Analysis of {K}armarkar's algorithm for fractional
                 linear programming",
  type =         "{Technical Report}",
  year =         "1985",
  month =        nov,
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@Article{int:Anstreicher3,
  author =       "K. M. Anstreicher",
  title =        "A monotonic projective algorithm for fractional linear
                 programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "483--498",
}

@Article{int:Anstreicher4,
  author =       "K. M. Anstreicher",
  title =        "A strenghtened acceptance criterion for approximate
                 projections in {K}armarkar's algorithm",
  journal =      "Operations Research Letters",
  volume =       "5",
  year =         "1986",
  pages =        "211--214",
}

@TechReport{int:Anstreicher5,
  author =       "K. M. Anstreicher",
  title =        "On the complexity of the projective algorithm for
                 standard form linear programming",
  type =         "{Technical Report}",
  number =       "B\#104",
  year =         "1987",
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@InCollection{int:Anstreicher6,
  author =       "K. M. Anstreicher",
  title =        "Dual ellipsoids and degeneracy in the projective
                 algorithm for linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "141--149",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Anstreicher7,
  author =       "K. M. Anstreicher",
  title =        "Linear programming and the {N}ewton barrier flow",
  journal =      "Mathematical Programming",
  volume =       "41",
  year =         "1988",
  pages =        "367--373",
}

@Article{int:Anstreicher8,
  author =       "K. M. Anstreicher",
  title =        "On the performance of {K}armarkar's algorithm over a
                 sequence of iterations",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  number =       "1",
  year =         "1991",
  pages =        "22--29",
}

@Article{int:Anstreicher9,
  author =       "K. M. Anstreicher",
  title =        "The worst--case step in {K}armarkar's algorithm",
  journal =      "Mathematics of Operations Research",
  volume =       "14",
  year =         "1989",
  pages =        "294--302",
}

@Article{int:Anstreicher10,
  author =       "K. M. Anstreicher",
  title =        "Progress in interior point algorithms since 1984",
  journal =      "SIAM News",
  volume =       "22",
  year =         "1989",
  month =        mar,
  pages =        "12--14",
}

@Article{int:Anstreicher11,
  author =       "K. M. Anstreicher",
  title =        "A combined phase~{I} -- phase~{II} scaled potential
                 algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "429--439",
}

@Article{int:Anstreicher12,
  author =       "K. M. Anstreicher",
  title =        "A standard form variant and safeguarded linesearch for
                 the modified {K}armarkar algorithm",
  journal =      "Mathematical Programming",
  volume =       "47",
  year =         "1990",
  pages =        "337--351",
}

@Article{int:Anstreicher13,
  author =       "K. M. Anstreicher and R. A. Bosch",
  title =        "Long steps in a ${O(n^{3}L)}$ algorithm for linear
                 programming",
  journal =      "Mathematical Programming",
  volume =       "54",
  year =         "1992",
  pages =        "251--265",
}

@TechReport{int:Anstreicher14,
  author =       "K. M. Anstreicher and P. Watteyne",
  title =        "A family of search directions for {K}armarkar's
                 algorithm",
  type =         "CORE Discussion Paper",
  number =       "9030",
  year =         "1990",
  institution =  "Center for Operations Research and Econometrics,
                 Universite Catholique de Louvain",
  address =      "B--1348~Louvain--la--Neuve, Belgium",
  note =         "To appear in {\em Operations Research}",
}

@TechReport{int:Anstreicher15,
  author =       "K. M. Anstreicher and {D. den} Hertog and C. Roos and
                 T. Terlaky",
  title =        "A long step barrier method for convex quadratic
                 programming",
  type =         "{Technical Report}",
  number =       "90--53",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
  note =         "To appear in {\em Algorithmica}",
}

@TechReport{int:Anstreicher16,
  author =       "K. M. Anstreicher",
  title =        "Strict monotonicity and improved complexity in the
                 standard form projective algorithm for linear
                 programming",
  type =         "CORE Discussion Paper",
  number =       "9035",
  year =         "1990",
  institution =  "Center for Operations Research and Econometrics,
                 Universite Catholique de Louvain",
  address =      "B--1348~Louvain--la--Neuve, Belgium",
}

@Article{int:Anstreicher17,
  author =       "K. M. Anstreicher",
  title =        "On monotonicity in the scaled potential algorithm for
                 linear programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "223--232",
}

@Article{int:Anstreicher18,
  author =       "K. M. Anstreicher",
  title =        "A combined phase~{I} -- phase~{II} projective
                 algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "209--223",
}

@TechReport{int:Anstreicher19,
  author =       "K. M. Anstreicher",
  title =        "On long step path following and {SUMT} for linear and
                 quadratic programming",
  type =         "{Technical Report}",
  year =         "1990",
  month =        aug,
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@Article{int:Anstreicher20,
  author =       "K. M. Anstreicher",
  title =        "On interior algorithms for linear programming with no
                 regularity assumptions",
  journal =      "Operations Research Letters",
  volume =       "11",
  year =         "1992",
  pages =        "209--212",
}

@TechReport{int:Anstreicher21,
  author =       "K. M. Anstreicher and R. A. Bosch",
  title =        "On partial updating in a potential reduction linear
                 programming algorithm of {Kojima, Mizuno and Yoshise}",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
  note =         "Same as Bosch and Anstreicher \cite{int:Bosch2}",
}

@TechReport{int:Anstreicher22,
  author =       "K. M. Anstreicher",
  title =        "Recent developments in algorithms for linear
                 programming",
  type =         "{Talk held at the Third SIAM Conference on
                 Optimization in Boston, MA, USA}",
  year =         "1989",
  month =        apr,
  institution =  "Yale School of Management, Yale University",
  address =      "New Haven, CT~06520, USA",
}

@TechReport{int:Anstreicher23,
  author =       "K. M. Anstreicher",
  title =        "Advances in interior point methods for linear
                 programming",
  type =         "{Tutorial held at the ORSA/TIMS Joint National Meeting
                 in Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Anstreicher24,
  author =       "K. M. Anstreicher and J. Ji",
  title =        "More on dual ellipsoids and degeneracy in interior
                 algorithms for linear programming",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Anstreicher25,
  author =       "K. M. Anstreicher",
  title =        "Efficient centering for linear programming interior
                 point methods",
  type =         "{Technical Report}",
  year =         "1992",
  month =        jan,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Anstreicher26,
  author =       "K. M. Anstreicher and J. Ji and Y. Ye",
  title =        "Average performance of an ellipsoid termination
                 criterion for linear programming interior point
                 algorithms",
  type =         "{Technical Report}",
  number =       "92--01",
  year =         "1992",
  month =        feb,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Anstreicher27,
  author =       "K. M. Anstreicher and J. Ji and F. A. Potra and Y.
                 Ye",
  title =        "Probabilistic analysis of an infeasible primal--dual
                 algorithm for linear programming",
  type =         "{Reports on Computational Mathematics}",
  number =       "27",
  year =         "1992",
  month =        jul,
  institution =  "Dept.\ of Mathematics, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Anstreicher28,
  author =       "K. M. Anstreicher and J. Ji and F. A. Potra and Y.
                 Ye",
  title =        "Average performance of a self--dual interior--point
                 algorithm for linear programming",
  type =         "{Reports on Computational Mathematics}",
  number =       "31",
  year =         "1992",
  month =        sep,
  institution =  "Dept.\ of Mathematics, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Anstreicher29,
  author =       "K. M. Anstreicher and J. P. Vial",
  title =        "On the convergence of an infeasible primal--dual
                 interior--point method for convex programming",
  type =         "{Technical Report}",
  number =       "93--34",
  year =         "1993",
  month =        aug,
  institution =  "Faculty of Technical Mathematics and Informatics, TU
                 Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@Book{int:Arbel1,
  author =       "A. Arbel",
  title =        "{Exploring Interior Point Linear
                 Programming\,:\,Algorithms and Software}",
  year =         "1993",
  series =       "Foundations of Computing Series",
  publisher =    "MIT Press",
  address =      "Cambridge, MA~02142, USA",
  note =         "Forthcoming",
}

@Article{int:Armacost1,
  author =       "A. Armacost and S. Mehrotra",
  title =        "A computational comparison of the network simplex
                 method with the dual affine scaling method",
  journal =      "Journal of the Operational Research Society of India
                 (Opsearch)",
  volume =       "28",
  number =       "1",
  year =         "1991",
  pages =        "18--35",
}

@TechReport{int:Aronson1,
  author =       "J. Aronson and R. Barr and R. Helgason and J.
                 Kennington and A. Loh and H. Zaki",
  title =        "The projective transformation algorithm by
                 {K}armarkar~: {A} computational experiment with
                 assignment problems",
  type =         "{Technical Report}",
  number =       "85--OR--3",
  year =         "1985",
  month =        aug,
  institution =  "Dept.\ of Operations Research, Southern Methodist
                 University",
  address =      "Dallas, TX~75275, USA",
}

@TechReport{int:Aronson2,
  author =       "J. Aronson and R. Barr and R. Helgason and J.
                 Kennington and A. Loh and H. Zaki",
  title =        "A specialization of {K}armarkar's algorithm to solve
                 network problems",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Dept.\ of Operations Research, Southern Methodist
                 University",
  address =      "Dallas, TX~75275, USA",
}

@TechReport{int:Asic1,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Behavior of {K}armarkar's method on degenerate
                 problems",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Mathematics, Michigan State University",
  address =      "East Lansing, MI~48824, USA",
}

@Article{int:Asic2,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Asymptotic behavior of {K}armarkar's method for linear
                 programming",
  journal =      "Mathematical Programming",
  volume =       "46",
  year =         "1990",
  pages =        "173--190",
}

@TechReport{int:Asic3,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Asymptotic behavior and numerical stability of
                 {K}armarkar's method for linear programming",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "University of Belgrade",
  address =      "Belgrade, Yugoslavia",
}

@Article{int:Asic4,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic",
  title =        "An interior semi--infinite programming method",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "59",
  year =         "1988",
  pages =        "369--390",
}

@InCollection{int:Asic5,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "A note on limiting behavior of the projective and the
                 affine rescaling algorithms",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "151--157",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@InCollection{int:Asic6,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Karmarkar algoritam~: {A}naliza numericke stabilnosti
                 i neke modifikacije",
  booktitle =    "Proceedings of the 12th Yugoslav Symposium on
                 Operations Research, Herceg--Novi, Yugoslavia, October
                 1985",
  year =         "1985",
  pages =        "33--41",
  note =         "(In Yugoslav)",
}

@InCollection{int:Asic7,
  author =       "M. D. Asic and V. V. Kovacevic--Vujcic and M. D.
                 Radosavljevic--Nikolic",
  title =        "Asimptotsko ponasanje {K}armarkarove metode",
  booktitle =    "Proceedings of the 13th Yugoslav Symposium on
                 Operations Research, Herceg--Novi, Yugoslavia, October
                 1986",
  year =         "1986",
  pages =        "81--88",
  note =         "(In Yugoslav)",
}

@Article{int:Astfalk1,
  author =       "G. Astfalk and I. J. Lustig and R. E. Marsten and D.
                 Shanno",
  title =        "The interior--point method for linear programming",
  journal =      "IEEE Software",
  volume =       "9",
  number =       "4",
  year =         "1992",
  pages =        "61--68",
}

@Misc{int:At1,
  key =          "AT and T Bell Laboratories",
  title =        "{The {AT~\&~T KORBX} Linear Programming System,
                 AT~\&~T Bell Laboratories, Holmdel, NJ~07733, USA}",
  year =         "1988",
  address =      "Holmdel, NJ~07733, USA",
  note =         "Introduced at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA, October 1988",
}

@Article{int:Atkinson1,
  author =       "D. S. Atkinson and P. M. Vaidya",
  title =        "A scaling technique for finding the weighted analytic
                 center of a polytope",
  journal =      "Mathematical Programming",
  volume =       "57",
  year =         "1992",
  pages =        "163--192",
}

@TechReport{int:Atkinson2,
  author =       "D. S. Atkinson and P. M. Vaidya",
  title =        "A cutting plane algorithm that uses analytic centers",
  type =         "{Working Paper}",
  year =         "1992",
  institution =  "College of Commerce and Business Administration,
                 University of Illinois at Urbana--Champaign",
  address =      "Urbana, IL~61820, USA",
}

@MastersThesis{int:Bach1,
  author =       "R. Bach",
  title =        "{{\"U}ber die Effizienz eines polynomialen Verfahrens
                 zur L{\"o}sung von linearen Optimierungsproblemen.
                 (About the efficiency of a polynomial method for
                 solving linear programming problems)}",
  year =         "1990",
  month =        dec,
  school =       "{Fachbereich Wirtschaftswissenschaften und Operations
                 Research, FernUniversit{\"a}t Hagen}",
  address =      "P. O. Box 940, D--5800 Hagen, West--Germany",
  note =         "(In German)",
}

@TechReport{int:Bagchi1,
  author =       "A. Bagchi and B. Kalantari",
  title =        "A method for computing approximate solution of the
                 trust region problem with application to projective
                 methods for quadratic programming",
  type =         "{Working Paper}",
  year =         "1988",
  institution =  "Dept.\ of Computer Science, Rutgers University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Bahn1,
  author =       "O. Bahn and J. L. Goffin and J. P. Vial and O.
                 Du~Merle",
  title =        "Implementation and behavior of an interior point
                 cutting plane algorithm for convex programming~:~{An}
                 application to geometric programming",
  type =         "{Working Paper}",
  year =         "1991",
  institution =  "University of Geneva",
  address =      "Geneva, Switzerland",
  note =         "To appear in {\em Discrete Applied Mathematics}",
}

@TechReport{int:Bahn2,
  author =       "O. Bahn and O. Du~Merle and J. L. Goffin and J. P.
                 Vial",
  title =        "A cutting plane method from analytic centers for
                 stochastic programming",
  type =         "{Technical Report}",
  number =       "1993.5",
  year =         "1993",
  institution =  "Dept.\ of Management Studies, Faculte des SES,
                 University of Geneva",
  address =      "Geneva, Switzerland",
}

@TechReport{int:Ballintijn1,
  author =       "C. Ballintijn",
  title =        "Implementation aspects and performance results of the
                 dual--affine algorithm",
  type =         "{Talk held at the 14th Conference on the Mathematics
                 of Operations Research in Dalfsen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Koninklijke Shell Laboratorium Amsterdam (KSLA)",
  address =      "Amsterdam, The Netherlands",
  note =         "See Marsten et al.\ \cite{int:Marsten5}",
}

@TechReport{int:Barle1,
  author =       "J. Barle and J. Grad",
  title =        "The implementation of {K}armarkar's algorithm using
                 electronic spreadsheet",
  type =         "{Talk held at the DGOR--Jahrestagung in Berlin,
                 West--Germany}",
  year =         "1988",
  month =        sep,
  institution =  "Ekonomska Fakulteta Borisa Kidrica, University of
                 Ljubljana",
  address =      "YU--61109~Ljubljana, Yugoslavia",
}

@TechReport{int:Barle2,
  author =       "J. Barle and J. Grad",
  title =        "The implementations of interior point methods for
                 solving {LP on PC}",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Ekonomska Fakulteta Borisa Kidrica, University of
                 Ljubljana",
  address =      "YU--61109~Ljubljana, Yugoslavia",
}

@Article{int:Barnes1,
  author =       "E. R. Barnes",
  title =        "A variation on {K}armarkar's algorithm for solving
                 linear programming problems",
  journal =      "Mathematical Programming",
  volume =       "36",
  year =         "1986",
  pages =        "174--182",
}

@TechReport{int:Barnes2,
  author =       "E. R. Barnes",
  title =        "A sparse matrix version of {K}armarkar's algorithm",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes3,
  author =       "E. R. Barnes",
  title =        "A polynomial--time version of the affine scaling
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St.~Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes4,
  author =       "E. R. Barnes",
  title =        "The role of centering in interior point methods",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes5,
  author =       "E. R. Barnes",
  title =        "Phase--{I} procedures for interior point problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes6,
  author =       "E. R. Barnes",
  title =        "Numerical techniques for interior point methods",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30322--0205, USA",
}

@TechReport{int:Barnes7,
  author =       "E. R. Barnes",
  title =        "Computing centers and minimum covering ellipsoids for
                 polytopes",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30322--0205, USA",
}

@TechReport{int:Barnes8,
  author =       "E. R. Barnes and D. J. Jensen",
  title =        "Affine--scaling algorithms for linear programming with
                 centering steps",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes9,
  author =       "E. R. Barnes and S. Chopra and D. J. Jensen",
  title =        "Polynomial--time convergence of the affine scaling
                 algorithm with centering",
  type =         "{Talk held at the Conference on Progress in
                 Mathematical Programming, Asimolar Conference Center,
                 Pacific Grove, CA, USA}",
  year =         "1987",
  month =        mar,
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes10,
  author =       "E. R. Barnes and S. Chopra and D. J. Jensen",
  title =        "The affine scaling method with centering",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Mathematical Sciences, IBM~T.~J.~Watson
                 Research Center",
  address =      "P.~O.~Box~218, Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Barnes11,
  author =       "E. R. Barnes and S. Chopra and D. J. Jensen",
  title =        "A polynomial--time version of the affine--scaling
                 algorithm",
  type =         "{Working Paper Series}",
  number =       "88--101",
  year =         "1988",
  institution =  "Graduate School of Business and Administration, New
                 York University",
  address =      "New York, NY~10006, USA",
}

@TechReport{int:Barnes12,
  author =       "E. R. Barnes and A. Moretti",
  title =        "On the convergence of the affine scaling algorithm",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30332--0205, USA",
}

@InCollection{int:Barnes13,
  author =       "E. R. Barnes",
  title =        "Some results concerning convergence of the affine
                 scaling algorithm",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "131--139",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Barnes14,
  author =       "E. R. Barnes",
  title =        "Minimum containing ellipsoids and regular polyhedra",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "2--6",
}

@TechReport{int:Barutt1,
  author =       "J. F. Barutt and J. A. Ludvijsen and E. M. Olsen",
  title =        "Using the interior point method for solving large
                 scale crew scheduling problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Northwest Airlines F--7140, MSP International
                 Airport",
  address =      "St.~Paul, MN~55111, USA",
}

@Article{int:Bayer1,
  author =       "D. A. Bayer and J. C. Lagarias",
  title =        "Karmarkar's linear programming algorithm and
                 {N}ewton's method",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "291--330",
}

@Article{int:Bayer2,
  author =       "D. A. Bayer and J. C. Lagarias",
  title =        "The nonlinear geometry of linear programming,
                 {Part~I~: A}ffine and projective scaling trajectories",
  journal =      "Transactions of the American Mathematical Society",
  volume =       "314",
  number =       "2",
  year =         "1989",
  pages =        "499--526",
}

@Article{int:Bayer3,
  author =       "D. A. Bayer and J. C. Lagarias",
  title =        "The nonlinear geometry of linear programming,
                 {Part~II}~: {L}egendre transform coordinates",
  journal =      "Transactions of the American Mathematical Society",
  volume =       "314",
  number =       "2",
  year =         "1989",
  pages =        "527--581",
}

@Misc{int:Bayer4,
  author =       "D. A. Bayer and N. K. Karmarkar and J. C. Lagarias",
  title =        "Methods and apparatus for optimization system
                 operational parameters",
  howpublished = "U.~S.~Patent No.~4.744.027",
  year =         "1988",
  note =         "AT~\&~T Bell Laboratories, Murray Hill, NJ~07974,
                 USA",
}

@InBook{int:Bazaraa1,
  author =       "M. S. Bazaraa and J. J. Jarvis and H. F. Sherali",
  title =        "Linear Programming and Network Flows",
  chapter =      "8.4~: {K}armarkar's projective algorithm, pages
                 380--394, chapter 8.5~: {A}nalysis of {K}armarkar's
                 algorithm",
  year =         "1990",
  pages =        "394--418",
  publisher =    "John Wiley \& Sons",
  address =      "New York",
  edition =      "second",
}

@InBook{int:Beisel1,
  author =       "E. P. Beisel and M. Mendel",
  title =        "{Optimierungsmethoden des Operations Research, Band
                 1~% (Optimization Methods of Operations Research,
                 Vol.~1)}",
  chapter =      "11~: {Die Projektionsmethode von Karmarkar~(The
                 projection method of Karmarkar)}",
  pages =        "169--187",
  publisher =    "Vieweg Verlag",
  address =      "Braunschweig, West--Germany",
  year =         "1987",
  note =         "(In German)",
}

@TechReport{int:Benchakroun1,
  author =       "A. Benchakroun and J. P. Dussault and A. Mansouri",
  title =        "Local convergence analysis of the method of centers",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Universite de Sherbrooke",
  address =      "Sherbrooke, Canada",
}

@TechReport{int:BenDaya1,
  author =       "M. {Ben--Daya} and C. M. Shetty",
  title =        "Polynomial barrier function algorithm for linear
                 programming",
  type =         "{Technical Report}",
  number =       "J~88--4",
  year =         "1988",
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30322--0205, USA",
}

@Article{int:BenDaya2,
  author =       "M. {Ben--Daya} and C. M. Shetty",
  title =        "Polynomial barrier function algorithm for convex
                 quadratic programming",
  journal =      "Arabian Journal for Science and Engineering",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "657--670",
}

@TechReport{int:BenTal1,
  author =       "A. {Ben--Tal} and A. S. Nemirovsky",
  title =        "Interior point polynomial time method for truss
                 topolog design",
  type =         "{Technical Report}",
  number =       "3/92",
  year =         "1992",
  month =        jun,
  institution =  "Faculty of Industrial Engineering and Management,
                 Technion, Israel Institute of Technology",
  address =      "Israel",
}

@TechReport{int:Benjamin1,
  author =       "J. Benjamin and M. Dialsy",
  title =        "Some applications of the primal--dual interior point
                 algorithm using {GAUSS} programming language",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Economics Department, North Carolina A~\&~T State
                 University",
  address =      "Greensboro, NC~27411, USA",
}

@InCollection{int:Berke1,
  author =       "L. Berke and N. Khot and R. Polyak and R. Schneur",
  title =        "Application of the {Newton} modified barrier method in
                 structural optimizations",
  booktitle =    "Proceedings of the 33rd American Institute of
                 Aeronautics and Astronautics (AIAA) Conference",
  year =         "1992",
}

@Article{int:Bertsekas1,
  author =       "D. P. Bertsekas",
  title =        "Projected {N}ewton methods for optimization problems
                 with simple constraints",
  journal =      "SIAM Journal on Control and Optimization",
  volume =       "20",
  year =         "1982",
  pages =        "221--246",
}

@Article{int:Betke1,
  author =       "U. Betke and P. Gritzmann",
  title =        "Projection algorithms for linear programming",
  journal =      "European Journal of Operational Research",
  volume =       "60",
  year =         "1992",
  pages =        "287--295",
}

@TechReport{int:Birge1,
  author =       "J. R. Birge and L. Qi",
  title =        "Solving stochastic linear programs via a variant of
                 {K}armarkar's algorithm",
  type =         "{Technical Report}",
  number =       "85--12",
  year =         "1985",
  institution =  "Dept.\ of Industrial and Operations Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48103, USA",
}

@Article{int:Birge2,
  author =       "J. R. Birge and L. Qi",
  title =        "Computing block--angular {K}armarkar projections with
                 applications to stochastic programming",
  journal =      "Management Science",
  volume =       "34",
  year =         "1988",
  pages =        "1472--1479",
}

@TechReport{int:Birge3,
  author =       "J. R. Birge and R. M. Freund and R. J. Vanderbei",
  title =        "Prior reduced fill--in in solving equations in
                 interior point algorithm",
  type =         "{Working Paper}",
  number =       "OR~3186--90--MS",
  year =         "1990",
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
  note =         "See also Birge et al. \cite{int:Birge7}",
}

@TechReport{int:Birge4,
  author =       "J. R. Birge and C. Rosa",
  title =        "A simplified proof of the general convergence of
                 affine scaling",
  type =         "{Technical Report}",
  number =       "91--7",
  year =         "1991",
  institution =  "Dept.\ of Industrial and Operations Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48104, USA",
}

@TechReport{int:Birge5,
  author =       "J. R. Birge and D. Holmes",
  title =        "Using interior point methods for stochastic linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Industrial and Operations Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48104, USA",
  note =         "See Birge and Holmes \cite{int:Birge6}",
}

@Article{int:Birge6,
  author =       "J. R. Birge and D. F. Holmes",
  title =        "Efficient solution of two stage stochastic linear
                 programs using interior point methods",
  journal =      "Computational Optimization and Applications",
  volume =       "1",
  year =         "1992",
  pages =        "245--276",
}

@Article{int:Birge7,
  author =       "J. R. Birge and R. M. Freund and R. J. Vanderbei",
  title =        "Prior reduced fill--in in solving equations in
                 interior point algorithms",
  journal =      "Operations Research Letters",
  volume =       "11",
  year =         "1992",
  pages =        "195--198",
}

@Article{int:Bixby1,
  author =       "R. E. Bixby and J. W. Gregory and I. J. Lustig and R.
                 E. Marsten and D. F. Shanno",
  title =        "Very large--scale linear programming~: {A} case study
                 in combining interior point and simplex methods",
  journal =      "Operations Research",
  volume =       "40",
  year =         "1992",
  pages =        "885--897",
}

@TechReport{int:Bixby2,
  author =       "R. E. Bixby and M. J. Saltzman",
  title =        "Recovering an optimal {LP} basis from an interior
                 point solution",
  type =         "{Technical Report}",
  number =       "607",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Mathematical Sciences, Clemson University",
  address =      "Clemson, SC~29634--1907, USA",
}

@Article{int:Blair1,
  author =       "C. E. Blair",
  title =        "The iterative step in the linear programming algorithm
                 of {N. Karmarkar}",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "537--539",
}

@TechReport{int:Blair2,
  author =       "C. E. Blair",
  title =        "{K}armarkar's algorithm and the simplex algorithm",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "College of Commerce and Business Administration,
                 University of Illinois at Urbana--Champaign",
  address =      "Urbana, IL~61820, USA",
}

@InCollection{int:Bloch1,
  author =       "A. M. Bloch",
  title =        "Steepest descent, linear programming, and
                 {H}amiltonian flows",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "77--88",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Blum1,
  author =       "L. Blum",
  title =        "Towards an asymptotic analysis of {K}armarkar's
                 algorithm",
  journal =      "Information Processing Letters",
  volume =       "23",
  year =         "1986",
  pages =        "189--194",
}

@Article{int:Blum2,
  author =       "L. Blum",
  title =        "A new simple homotopy algorithm for linear programming
                 {I}",
  journal =      "Journal of Complexity",
  volume =       "4",
  year =         "1988",
  pages =        "124--136",
}

@TechReport{int:Boggs1,
  author =       "P. T. Boggs and P. D. Domich and C. Witzgall",
  title =        "On center trajectories for linear programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology, Center for
                 Applied Mathematics",
  address =      "Gaithersburg, MD~20899, USA",
}

@Article{int:Boggs2,
  author =       "P. T. Boggs and P. D. Domich and J. R. Donaldson and
                 C. Witzgall",
  title =        "Algorithmic enhancements to the method of center for
                 linear programming",
  journal =      "ORSA Journal on Computing",
  volume =       "1",
  year =         "1989",
  pages =        "159--171",
}

@TechReport{int:Boggs3,
  author =       "P. T. Boggs",
  title =        "Higher--order methods for large linear and quadratic
                 programming problems",
  type =         "{Talk held at the Second International Conference on
                 Industrial and Applied Mathematics (ICIAM~'91),
                 Washington, DC, USA}",
  year =         "1991",
  month =        jul,
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology, Center for
                 Applied Mathematics",
  address =      "Gaithersburg, MD~20899, USA",
}

@Article{int:Boggs4,
  author =       "P. T. Boggs",
  title =        "Comparing algorithms is not an easy task",
  journal =      "SIAM News",
  volume =       "19",
  number =       "1",
  year =         "1986",
  pages =        "7",
}

@Article{int:Boggs5,
  author =       "P. T. Boggs and P. D. Domich and J. E. Rogers and C.
                 Witzgall",
  title =        "An interior--point method for linear and quadratic
                 programming problems",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "32--40",
}

@TechReport{int:Bonnans1,
  author =       "F. Bonnans and M. Bouhtou",
  title =        "An interior point affine algorithm for convex
                 programming based on a potential function",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Institute National de Recherche en Informatique et
                 Automatique (INRIA)",
  address =      "F--78153~Roquencourt, France",
}

@TechReport{int:Bonnans2,
  author =       "F. Bonnans and M. Bouhtou",
  title =        "The trust region affine interior point algorithm for
                 convex and nonconvex quadratic programming",
  type =         "{Technical Report}",
  year =         "1993",
  month =        jul,
  institution =  "Institute National de Recherche en Informatique et
                 Automatique (INRIA)",
  address =      "F--78153~Roquencourt, France",
}

@TechReport{int:Borchers1,
  author =       "B. Borchers and J. E. Mitchell",
  title =        "Using an interior point method in a branch and bound
                 algorithm for integer programming",
  type =         "{RPI Mathematical Report}",
  number =       "195",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rensselaer
                 Polytechnic Institute",
  address =      "Troy, NY~12180--3590, USA",
  note =         "Revised July 1992",
}

@PhdThesis{int:Borchers2,
  author =       "B. Borchers",
  title =        "Improved branch and bound algorithms for integer
                 programming",
  year =         "1992",
  month =        jun,
  school =       "Dept.\ of Mathematical Sciences, Rensselaer
                 Polytechnic Institute",
  address =      "Troy, NY~12180--3590, USA",
}

@TechReport{int:Bosch1,
  author =       "R. Bosch and K. M. Anstreicher",
  title =        "A partial updating algorithm for linear programs with
                 many more variables than constraints",
  type =         "{Technical Report}",
  year =         "1992",
  month =        aug,
  institution =  "Dept.\ of Mathematics, Oberlin College",
  address =      "Oberlin, OH~44074, USA",
}

@Article{int:Bosch2,
  author =       "R. A. Bosch and K. M. Anstreicher",
  title =        "On partial updating in a potential reduction linear
                 programming algorithm of {Kojima, Mizuno and Yoshise}",
  journal =      "Algorithmica",
  volume =       "9",
  number =       "1",
  year =         "1993",
  pages =        "184--197",
  note =         "Same as Anstreicher and Bosch
                 \cite{int:Anstreicher21}",
}

@TechReport{int:Bosch3,
  author =       "R. A. Bosch",
  title =        "On {Mizuno's} rank one updating algorithm for linear
                 programming",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Dept.\ of Mathematics, Oberlin College",
  address =      "Oberlin, OH~44074, USA",
  note =         "To appear in {\em SIAM Journal on Optimization}",
}

@Book{int:Box1,
  author =       "M. J. Box and D. Davies and W. H. Swann",
  title =        "Nonlinear Optimization Technique",
  year =         "1969",
  series =       "ICI Monograph of Mathematics and Statistics",
  volume =       "5",
  publisher =    "Oliver and Boyd Ltd.",
  address =      "London, UK",
}

@TechReport{int:Boyd1,
  author =       "S. Boyd and L. E. Ghaoui",
  title =        "Methods of centers for minimizing generalized
                 eigenvalues",
  type =         "{ISL--Report}",
  year =         "1992",
  institution =  "Stanford University",
  address =      "Stanford, CA~94305, USA",
  note =         "Submitted to {\em Linear Algebra and Its Applications,
                 special issue on Linear Algebra in Systems and
                 Control}",
}

@Article{int:Bregman1,
  author =       "L. M. Bregman",
  title =        "A polynomial--time simplex type method for solving
                 linear systems of inequalities",
  journal =      "Kibernetika (Kiev)",
  volume =       "26",
  number =       "1",
  year =         "1990",
  pages =        "84--87",
  note =         "Translated in~: {\em Cybernetics (USA)},
                 26(1):106--110, 1990",
}

@Article{int:Brophy1,
  author =       "J. F. Brophy and P. W. Smith",
  title =        "Prototyping {K}armarkar's algorithm using
                 {MATH/PROTRAN}",
  journal =      "International Mathematical and Statistical Libraries
                 (IMSL) Directions",
  volume =       "5",
  year =         "1988",
  pages =        "2--3",
}

@InCollection{int:Brown1,
  author =       "G. W. Brown and T. C. Koopmans",
  title =        "Computational suggestions for maximizing a linear
                 function subject to linear inequalities",
  booktitle =    "Activity Analysis of Production and Allocation",
  publisher =    "John Wiley \& Sons",
  address =      "New York",
  editor =       "T. C. Koopmans",
  year =         "1951",
  pages =        "377--380",
}

@TechReport{int:Brown2,
  author =       "G. G. Brown and R. D. McBride and K. R. Wood",
  title =        "Computational methods in the projective linear
                 programming algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Atlanta, GA, USA}",
  year =         "1985",
  month =        nov,
  institution =  "Dept.\ of Operations Research, Naval Postgraduate
                 School",
  address =      "Monterey, CA~93943, USA",
}

@Article{int:Carolan1,
  author =       "W. Carolan and J. Hill and J. Kennington and S. Niemi
                 and S. Wichmann",
  title =        "An empirical evaluation of the {KORBX} algorithms for
                 military airlift applications",
  journal =      "Operations Research",
  volume =       "38",
  year =         "1990",
  pages =        "240--248",
}

@Article{int:Caroll1,
  author =       "C. W. Caroll",
  title =        "The created response surface technique for optimizing
                 nonlinear restrained systems",
  journal =      "Operations Research",
  volume =       "9",
  number =       "2",
  year =         "1961",
  pages =        "169--184",
}

@TechReport{int:Caron1,
  author =       "R. J. Caron and W. T. Obuchowska",
  title =        "Quadratically constrained convex quadratic
                 programmes\,:\,{Faulty} feasible regions",
  type =         "{Windsor Mathematics StatisticsReport}",
  number =       "WMSR 92--05",
  year =         "1992",
  month =        aug,
  institution =  "Dept.\ of Mathematics, University of Windsor",
  address =      "Windsor, Ontario, Canada~N9B\,3P4",
}

@TechReport{int:Carpenter1,
  author =       "T. J. Carpenter and I. J. Lustig and J. M. Mulvey and
                 D. F. Shanno",
  title =        "A primal--dual interior point method for convex
                 separable nonlinear programs",
  type =         "{RUTCOR Research Report}",
  number =       "RRR~25--90",
  year =         "1990",
  month =        may,
  institution =  "RUTCOR -- Rutgers Center for Operations Research, Hill
                 Center for Mathematical Sciences",
  address =      "New Brunswick, NJ~08903, USA",
  note =         "Technical Report SOR~90--02, School of Engineering and
                 Applied Science, Dept.\ of Civil Engineering and
                 Operations Research, Princeton University, Princeton,
                 NJ~08544, USA, 1990",
}

@TechReport{int:Carpenter2,
  author =       "T. J. Carpenter and I. J. Lustig and J. M. Mulvey and
                 D. F. Shanno",
  title =        "Higher order predictor--corrector interior point
                 methods with application to quadratic objectives",
  type =         "{RUTCOR Research Report}",
  number =       "RRR~67--90",
  year =         "1990",
  institution =  "RUTCOR -- Rutgers Center for Operations Research, Hill
                 Center for Mathematical Sciences",
  address =      "New Brunswick, NJ~08903, USA",
  note =         "Technical Report SOR~90--09, School of Engineering and
                 Applied Science, Dept.\ of Civil Engineering and
                 Operations Research, Princeton University, Princeton,
                 NJ~08544, USA, November 1990. To appear in {\em SIAM
                 Journal on Optimization}",
}

@TechReport{int:Carpenter3,
  author =       "T. J. Carpenter and I. J. Lustig and J. M. Mulvey and
                 D. F. Shanno",
  title =        "Separable quadratic programming via primal--dual
                 interior point method and its use in a sequential
                 procedure",
  type =         "{Technical Report}",
  year =         "1992",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
  note =         "To appear in {\em ORSA Journal on Computing}",
}

@PhdThesis{int:Carpenter4,
  author =       "T. J. Carpenter",
  title =        "Practical interior--point methods for quadratic
                 programming",
  year =         "1992",
  school =       "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Cavalier1,
  author =       "T. M. Cavalier and T. C. Schall",
  title =        "Implementing a projective algorithm for solving
                 inequality constrained linear programs",
  type =         "{IMSE Working Paper}",
  number =       "86--128",
  year =         "1986",
  institution =  "Dept.\ of Industrial and Management Systems
                 Engineering, Pennsylvania State University",
  address =      "University Park, PA~16802, USA",
}

@Article{int:Cavalier2,
  author =       "T. M. Cavalier and T. C. Schall",
  title =        "Implementing an affine scaling algorithm for linear
                 programming",
  journal =      "Computers and Operations Research",
  volume =       "14",
  year =         "1987",
  pages =        "341--347",
}

@TechReport{int:Cavalier3,
  author =       "T. M. Cavalier and A. L. Soyster",
  title =        "Some computational experience and a modification of
                 the {K}armarkar algorithm",
  type =         "{Working Paper}",
  number =       "85--105",
  year =         "1985",
  institution =  "Dept.\ of Industrial and Management Systems
                 Engineering, Pennsylvania State University",
  address =      "University Park, PA~16802, USA",
}

@Article{int:Censor1,
  author =       "Y. Censor and A. Lunt",
  title =        "Optimization on '$log~x$' entropy over linear
                 inequality constraints",
  journal =      "SIAM Journal on Control and Optimization",
  volume =       "25",
  year =         "1987",
  pages =        "921--933",
}

@TechReport{int:Chandru1,
  author =       "V. Chandru and B. Kochar",
  title =        "A class of algorithms for linear programming",
  type =         "{Research Memorandum}",
  number =       "85--14",
  year =         "1985",
  institution =  "Dept.\ of Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
  note =         "Revised 1986",
}

@TechReport{int:Chandru2,
  author =       "V. Chandru and B. Kochar",
  title =        "Exploiting special structures using a variant of
                 {K}armarkar's algorithm",
  type =         "{Research Memorandum}",
  number =       "86--10",
  year =         "1986",
  institution =  "Dept.\ of Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@TechReport{int:Chandru3,
  author =       "V. Chandru",
  title =        "Notes on {K}armarkar's new algorithm for linear
                 programming",
  type =         "{Unpublished Memorandum}",
  year =         "1984",
  institution =  "Dept.\ of Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@Article{int:Chang1,
  author =       "S. Y. Chang and K. G. Murty",
  title =        "The steepest descent gravitational method for linear
                 programming",
  journal =      "Discrete Applied Mathematics",
  volume =       "25",
  year =         "1989",
  pages =        "211--239",
}

@TechReport{int:Charnes1,
  author =       "A. Charnes and T. Song and M. Wolfe",
  title =        "An explicit solution sequence and convergence of
                 {K}armarkar's algorithm",
  type =         "{Research Report}",
  number =       "CCS~501",
  year =         "1984",
  institution =  "Center for Cybernetic Studies, University of Texas",
  address =      "Austin, TX~78712--1177, USA",
}

@TechReport{int:Chen1,
  author =       "S. Chen",
  title =        "Computational experience with the {K}armarkar
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Los Angeles, CA, USA}",
  year =         "1986",
  month =        apr,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Chen2,
  author =       "S. Chen and D. N. Lee",
  title =        "Supercomputers and an efficient implementation of
                 {K}armarkar's algorithm",
  type =         "{Talk held at the SIAM National Meeting on Numerical
                 Analysis in Denver, CO, USA}",
  year =         "1987",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Chen3,
  author =       "B. Chen",
  title =        "Finite convergence of nonsmooth equation based methods
                 for affine {VIPs}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Management and Systems, Washington State
                 University",
  address =      "Pullman, WA~99104, USA",
}

@TechReport{int:Cheng1,
  author =       "Y. C. Cheng and K. T. Medhi",
  title =        "The {AT~\&~T KORBX Linear Programming System}~:
                 {P}reconditioned conjugate gradient implementation",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Cheng2,
  author =       "Y. C. Cheng and J. M. Liu and M. Meketon and P. Wang
                 and R. Vanderbei and L. Slutsman",
  title =        "Linear programming algorithms implemented on the
                 {AT~\&~T KORBX System}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Cheng3,
  author =       "Y. C. Cheng and D. J. Houck and E. Housos and C. Huang
                 and M. S. Meketon and L. Slutsman and R. Vanderbei and
                 P. Wang",
  title =        "The {AT~\&~T~KORBX Linear Programming System}~:
                 {S}ystem architecture and performance",
  type =         "{Talk held at the 13th International Symposium on
                 Mathematical Programming in Tokyo, Japan}",
  year =         "1988",
  month =        aug,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Cheng4,
  author =       "Y. C. Cheng and D. J. Houck and J. M. Liu and M. S.
                 Meketon and L. Slutsman and R. J. Vanderbei and P.
                 Wang",
  title =        "The {AT~\&~T~KORBX System}",
  journal =      "AT~\&~T Technical Journal",
  volume =       "68",
  year =         "1989",
  pages =        "7--19",
}

@TechReport{int:Cheng5,
  author =       "Z. Y. Cheng and J. E. Mitchell",
  title =        "An alternative derivation of the projective interior
                 point method for linear programming through the least
                 squares approach",
  type =         "{RPI Technical Report}",
  number =       "208",
  year =         "1993",
  month =        mar,
  institution =  "Dept.\ of Mathematical Sciences, Rensselaer
                 Polytechnic Institute",
  address =      "Troy, NY~12180, USA",
}

@TechReport{int:Chifflet1,
  author =       "M. J. Chifflet and A. Lisser and D. Tachat and P.
                 Tolla",
  title =        "Computing block--angular {K}armarkar projections with
                 applications to multicommodity flow problems",
  type =         "{Talk held at the 12th Triennial Conference on
                 Operations Research in Athens, Greece}",
  year =         "1990",
  month =        jun,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
}

@Article{int:Chiment1,
  author =       "J. J. Chiment",
  title =        "Complexity issues for numerical optimization",
  journal =      "SIAM News",
  volume =       "24",
  number =       "3",
  year =         "1991",
  month =        may,
  pages =        "24--25",
}

@TechReport{int:Chiu1,
  author =       "S. S. Chiu and Y. Ye",
  title =        "Recovering the shadow price in projection methods for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Engineering Economic Systems Department, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Chiu2,
  author =       "S. S. Chiu and Y. Ye",
  title =        "Simplex method and {K}armarkar's algorithm~: {A}
                 unifying structure",
  type =         "{Technical Report}",
  year =         "1985/86",
  institution =  "Engineering Economic Systems Department, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Choi1,
  author =       "I. C. Choi and D. Goldfarb",
  title =        "Interior point methods for solving structured linear
                 programs using parallel computation",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Choi2,
  author =       "I. C. Choi and D. Goldfarb",
  title =        "Detecting optimal basic and nonbasic variables prior
                 to optimality in interior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Choi3,
  author =       "I. C. Choi and C. L. Monma and D. F. Shanno",
  title =        "Computational experience with a primal--dual interior
                 point method for linear programming",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@Article{int:Choi4,
  author =       "I. C. Choi and C. L. Monma and D. F. Shanno",
  title =        "Further development of a primal--dual interior point
                 method",
  journal =      "ORSA Journal on Computing",
  volume =       "2",
  year =         "1990",
  pages =        "304--311",
}

@InCollection{int:Choi5,
  author =       "I. C. Choi and D. Goldfarb",
  title =        "Solving multicommodity network flow problems by an
                 interior point method",
  booktitle =    "Large--Scale Numerical Optimization, Papers from the
                 Workshop held at Cornell University, Ithaca, NY, USA,
                 October 1989",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  year =         "1990",
  pages =        "58--69",
  editor =       "T. F. Coleman and Y. Li",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@TechReport{int:Choi6,
  author =       "I. C. Choi",
  title =        "Partitioning methods in interior point algorithms",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Industrial Engineering, The Wichita State
                 University",
  address =      "Wichita, KS~67206, USA",
}

@Article{int:Choi7,
  author =       "I. C. Choi and D. Goldfarb",
  title =        "Exploiting special structure in a primal--dual
                 path--following algorithm",
  journal =      "Mathematical Programming",
  volume =       "58",
  year =         "1993",
  pages =        "33--52",
}

@PhdThesis{int:Choi8,
  author =       "I. C. Choi",
  title =        "Interior point methods for solving large structured
                 linear programs",
  year =         "1990",
  school =       "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Christiansen1,
  author =       "E. Christiansen and K. O. Kortanek",
  title =        "Computing material collapse displacement fields on a
                 {Cray~X--MP/48} by the {LP} primal affine scaling
                 algorithm",
  journal =      "Annals of Operations Research",
  volume =       "22",
  year =         "1990",
  pages =        "355--376",
}

@Article{int:Christiansen2,
  author =       "E. Christiansen and K. O. Kortanek",
  title =        "Computation of the collapse state in limit analysis
                 using the {LP} primal affine scaling algorithm",
  journal =      "Journal of Computational and Applied Mathematics",
  volume =       "34",
  year =         "1991",
  pages =        "47--63",
}

@Article{int:Chu1,
  author =       "S. C. K. Chu",
  title =        "On the existence of positive non--extreme point
                 solutions of linear programming",
  journal =      "International Journal of Mathematical Education in
                 Science and Technology",
  volume =       "21",
  year =         "1990",
  pages =        "99--103",
}

@Article{int:Clark1,
  author =       "C. E. Clark and J. L. Strand",
  title =        "Application of the {K}armarkar algorithm and expert
                 system technology to transmission network planning",
  journal =      "GLOBECOM Tokyo~'87~: Conference Record of the
                 IEEE/IEICE Global Telecommunications Conference in
                 Tokyo",
  volume =       "2",
  year =         "1987",
  pages =        "270",
}

@Book{int:Clausen1,
  author =       "J. Clausen and F. A. {Al--Khayyal}",
  title =        "Interior Point Methods",
  year =         "1991",
  month =        aug,
  series =       "COAL Newsletter",
  volume =       "19",
  publisher =    "Mathematical Programming Society",
}

@TechReport{int:Coleman1,
  author =       "T. Coleman and Y. Li",
  title =        "Quadratic interior point algorithms for piecewise
                 linear problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@Book{int:Coleman2,
  author =       "T. F. Coleman and Y. Li",
  title =        "Large--Scale Optimization, Papers from the Workshop
                 held at Cornell University, Ithaca, {NY}, {USA},
                 October 1989",
  year =         "1990",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@Article{int:Coleman3,
  author =       "T. F. Coleman and Y. Li",
  title =        "A globally and quadratically convergent affine scaling
                 method for linear {L$_{\mbox{1}}$} problems",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1992",
  pages =        "189--222",
}

@TechReport{int:Colmenares1,
  author =       "O. Colmenares",
  title =        "Karmarkar's linear programming algorithm~: {B}etter or
                 worse than the classical method~?",
  type =         "{Technical Report}",
  year =         "1985",
  month =        jan,
  institution =  "Graduate School of Management, University of
                 California at Los Angeles",
  address =      "Los Angeles, CA, USA",
}

@TechReport{int:Conn1,
  author =       "A. R. Conn and N. I. M. Gould and Ph. L. Toint",
  title =        "A globally convergent {Lagrangian} barrier algorithm
                 for optimization with general inequality constraints
                 and simple bounds",
  type =         "{Technical Report}",
  number =       "92/07",
  year =         "1992",
  institution =  "Dept. of Mathematics, FUNDP",
  address =      "Namur, Belgium",
}

@TechReport{int:Conn2,
  author =       "A. R. Conn and N. I. M. Gould and Ph. L. Toint",
  title =        "A note on using alternative second--order models for
                 the subproblems arising in barrier function methods for
                 minimization",
  type =         "{Technical Report}",
  number =       "93/16",
  year =         "1993",
  institution =  "Dept. of Mathematics, FUNDP",
  address =      "Namur, Belgium",
}

@Article{int:Conway1,
  author =       "R. Conway and M. Magazine",
  title =        "A case against software patents",
  journal =      "OR/MS Today",
  volume =       "18",
  number =       "1",
  year =         "1991",
  month =        feb,
  pages =        "14--15",
}

@InBook{int:Cook1,
  author =       "T. M. Cook and R. A. Russell",
  title =        "Introduction to Management Science",
  chapter =      "4~: {A}n alternative to the simplex method ---
                 {K}armarkar's algorithm",
  pages =        "137--139",
  publisher =    "Prentice Hall",
  address =      "Englewood Cliffs, NJ~07632, USA",
  edition =      "fourth",
  year =         "1989",
}

@InBook{int:Cottle1,
  author =       "R. Cottle and J. S. Pang and R. E. Stone",
  title =        "{The Linear Complementarity Problem}",
  chapter =      "5.9~:\ Interior--point methods",
  pages =        "461--475",
  publisher =    "Academic Press",
  year =         "1992",
}

@Article{int:Cremonese1,
  author =       "P. Cremonese",
  title =        "Programmazione lineare e algoritmo proiettivo.
                 {I}mplementazione, experienze, relazione col simplesso
                 {(Linear Programming and Projective Algorithm.
                 Implementation, experiences, Simplex Relation)}",
  journal =      "Ricerca Operativa (Italy)",
  volume =       "18",
  year =         "1988",
  pages =        "73--102",
  note =         "(In Italian)",
}

@TechReport{int:Dantzig1,
  author =       "G. B. Dantzig and Y. Ye",
  title =        "A build--up interior method for linear programming~:
                 {A}ffine scaling form",
  type =         "{Technical Report}",
  number =       "SOL~90--4",
  year =         "1990",
  month =        feb,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Dantzig2,
  author =       "G. B. Dantzig and D. Goldfarb and E. Lawler and C.
                 Monma and S. M. Robinson",
  title =        "Report of the {Committee on Algorithms and the Law}",
  journal =      "Optima (The Mathematical Programming Society
                 Newsletter)",
  volume =       "33",
  year =         "1991",
  month =        jun,
  pages =        "2--19",
  note =         "Containing~: B.~Kahin, The case against {"software
                 patents"}, Appendix~A, pages 5--13, and The League for
                 Programming Freedom, Against software patents,
                 Appendix~B, pages 14--19",
}

@TechReport{int:Dantzig3,
  author =       "G. B. Dantzig and Y. Ye",
  title =        "A build--up interior method for linear programming~:
                 {A}ffine scaling form",
  type =         "{Technical Report}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Dantzig4,
  author =       "G. B. Dantzig",
  title =        "Dikin's interior method for {LP}",
  type =         "{Manuscript}",
  year =         "1988",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Dantzig5,
  author =       "G. B. Dantzig and D. Goldfarb and E. Lawler and C.
                 Monma and S. M. Robinson",
  title =        "Report of the {MPS Committee on Algorithms and the
                 Law}",
  journal =      "SIAM News",
  volume =       "24",
  number =       "6",
  year =         "1991",
  month =        nov,
  pages =        "3, 18",
}

@Article{int:David1,
  author =       "{David~II}--Report",
  title =        "Renewing {U.S.} mathematics --- {A} plan for the
                 1990s, {S}ection~24~: {I}nterior point methods for
                 linear programming",
  journal =      "Notices of the American Mathematical Society",
  volume =       "37",
  number =       "8",
  year =         "1990",
  month =        oct,
  pages =        "984--1004, esp.\ 1001--1002",
}

@Article{int:Dennis1,
  author =       "J. Dennis and A. M. Morshedi and K. Turner",
  title =        "A variable metric variant of the {K}armarkar algorithm
                 for linear programming",
  journal =      "Mathematical Programming",
  volume =       "39",
  year =         "1987",
  pages =        "1--20",
}

@InProceedings{int:Derigs1,
  author =       "U. Derigs",
  title =        "{Neuere Ans{\"a}tze in der Linearen
                 Optimierung---Motivation, Konzepte und
                 Verfahren~(Recent results in linear
                 programming---motivation, concepts and methods)}",
  booktitle =    "Operations Research Proceedings 1985",
  editor =       "L. Streitfeldt and H. Hauptmann and A. W. Marusev and
                 D. Ohse and U. Pape",
  year =         "1986",
  pages =        "47--58",
  address =      "Springer Verlag, Berlin, West--Germany",
  note =         "(In German)",
}

@Article{int:Diao1,
  author =       "Z. Y. Diao",
  title =        "Karmarkar's algorithm and its modification",
  journal =      "Chinese Journal on Operations Research",
  volume =       "7",
  number =       "1",
  year =         "1988",
  pages =        "73--75",
}

@Article{int:Diao2,
  author =       "Z. Y. Diao",
  title =        "A remark on {K}armarkar's algorithm",
  journal =      "Chinese Journal on Operations Research",
  volume =       "7",
  number =       "2",
  year =         "1988",
  pages =        "61--62",
}

@TechReport{int:Diao3,
  author =       "Z. Y. Diao",
  title =        "Interior point algorithms and dynamic systems",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Shandong University",
  address =      "People's Republic of China",
}

@Article{int:Didderich1,
  author =       "G. T. Didderich",
  title =        "Some remarks on {K}armarkar's potential function",
  journal =      "Aequationes Mathematicae",
  volume =       "36",
  year =         "1988",
  pages =        "57--75",
}

@Article{int:Dikin1,
  author =       "I. I. Dikin",
  title =        "Iterative solution of problems of linear and quadratic
                 programming",
  journal =      "Doklady Akademii Nauk SSSR",
  volume =       "174",
  year =         "1967",
  pages =        "747--748",
  note =         "Translated in~: {\em Soviet Mathematics Doklady},
                 8:674--675, 1967",
}

@Article{int:Dikin2,
  author =       "I. I. Dikin",
  title =        "On the convergence of an iterative process",
  journal =      "Upravlyaemye Sistemi",
  volume =       "12",
  year =         "1974",
  pages =        "54--60",
  note =         "(In Russian)",
}

@Article{int:Dikin3,
  author =       "I. I. Dikin",
  title =        "Letter to the editor",
  journal =      "Mathematical Programming",
  volume =       "41",
  year =         "1988",
  pages =        "393--394",
}

@Book{int:Dikin4,
  author =       "I. I. Dikin and V. I. Zorkaltsev",
  title =        "Iterative Solutions of Mathematical Programming
                 Problems -- Interior Point Methods",
  year =         "1980",
  publisher =    "Nauka",
  address =      "Novosibirsk, USSR",
  note =         "(In Russian)",
}

@TechReport{int:Dikin5,
  author =       "I. I. Dikin",
  title =        "The convergence of dual variables",
  type =         "{Technical Report}",
  year =         "1991",
  month =        dec,
  institution =  "Siberian Energy Institute",
  address =      "Irkutsk, Russia",
}

@Article{int:Dikin6,
  author =       "I. I. Dikin",
  title =        "Determination of the interior point of one system of
                 linear inequalities",
  journal =      "Kibernetika Sistemnyi Analiz",
  volume =       "1",
  year =         "1992",
  pages =        "76--74, 188",
  note =         "(In Russian). Translated in Cybernetic and Systems
                 Analysis",
}

@Article{int:Ding1,
  author =       "J. Ding and T. Y. Li",
  title =        "An algorithm based on weighted logarithmic barrier
                 functions for linear complementarity problems",
  journal =      "Arabian Journal for Science and Engineering",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "769--685",
}

@Article{int:Ding2,
  author =       "J. Ding and T. Y. Li",
  title =        "A polynomial--time predictor--corrector algorithm for
                 a class of linear complementarity problems",
  journal =      "SIAM Journal on Computing",
  volume =       "1",
  number =       "1",
  year =         "1991",
  pages =        "83--92",
}

@TechReport{int:Ding3,
  author =       "J. Ding",
  title =        "An interior point algorithm for linear complementarity
                 problems",
  type =         "{Technical Report}",
  year =         "1992",
  institution =  "University of Southern Mississippi",
  address =      "USA",
  note =         "To appear in {\em Linear Algebra and Its
                 Applications}",
}

@TechReport{int:Ding4,
  author =       "J. Ding",
  title =        "A new polynomial--time algorithm for linear
                 programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Mathematics, Michigan State University",
  address =      "East Lansing, MI~48824, USA",
}

@TechReport{int:Dinn1,
  author =       "J. Dinn",
  title =        "A new polynomial--time algorithm for linear
                 programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Mathematics, Michigan State University",
  address =      "East Lansing, MI~48824, USA",
  note =         "Incorrect author name, see Ding \cite{int:Ding4}",
}

@Article{int:Dinn2,
  author =       "N. F. Dinn and N. K. Karmarkar and L. P. Sinha",
  title =        "Karmarkar algorithm enables interactive planning of
                 networks",
  journal =      "Record AT~\&~T~Bell Laboratories",
  volume =       "64",
  number =       "2",
  year =         "1986",
  pages =        "11--13",
}

@Article{int:Dodani1,
  author =       "M. H. Dodani and A. J. G. Babu",
  title =        "Karmarkar's projective method for linear programming~:
                 {A} computational survey",
  journal =      "Computers and Industrial Engineering",
  volume =       "13",
  year =         "1987",
  pages =        "285--289",
}

@Article{int:Dodani2,
  author =       "M. H. Dodani and A. J. G. Babu",
  title =        "Karmarkar's projective method for linear programming~:
                 {A} computational appraisal",
  journal =      "Computers and Industrial Engineering",
  volume =       "16",
  year =         "1989",
  pages =        "198--206",
}

@Article{int:Dodani3,
  author =       "M. H. Dodani and A. J. G. Babu",
  title =        "Karmarkar's projective method for linear programming~:
                 {A} computational survey",
  journal =      "International Journal of Mathematical Education in
                 Science and Technology",
  volume =       "21",
  year =         "1990",
  pages =        "191--212",
}

@Book{int:Dolecki1,
  author =       "S. Dolecki",
  title =        "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  year =         "1989",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@TechReport{int:Domich1,
  author =       "P. D. Domich and P. T. Boggs and J. R. Donaldson and
                 C. Witzgall",
  title =        "Optimal 3--dimensional methods for linear
                 programming",
  type =         "{Technical Report}",
  number =       "NISTIR~89--4225",
  year =         "1989",
  month =        dec,
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology",
  address =      "Gaithersburg, MD~20899, USA",
}

@Article{int:Domich2,
  author =       "P. D. Domich and P. T. Boggs and J. E. Rogers and C.
                 Witzgall",
  title =        "Optimizing over 3--d subspaces in an interior point
                 method",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "315--342",
}

@TechReport{int:Domich3,
  author =       "P. D. Domich and P. T. Boggs and J. R. Donaldson and
                 C. Witzgall",
  title =        "Third order correction methods to the method of
                 centers for linear programming problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology, Applied and
                 Computational Mathematics Division",
  address =      "Boulder, CO~80303, USA",
}

@TechReport{int:Domich4,
  author =       "P. D. Domich and P. T. Boggs and J. R. Donaldson and
                 C. Witzgall",
  title =        "An interior point approach for linear and quadratic
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "United States Department of Commerce, National
                 Institute of Standards and Technology, Applied and
                 Computational Mathematics Division",
  address =      "Boulder, CO~80303, USA",
}

@TechReport{int:Doup1,
  author =       "T. Doup and R. Bisseling and L. Loyens",
  title =        "A parallel interior point algorithm for linear
                 programming on a network of 400 transputers",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Shell Research Center (KSLA)",
  address =      "Amsterdam, The Netherlands",
}

@TechReport{int:Dowling1,
  author =       "M. L. Dowling",
  title =        "Comparing the affine and projective vector fields
                 associated with linear programming",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Dept.\ of Management, University of Georgia",
  address =      "Athens, GA~30602, USA",
  note =         "Submitted to {\em Mathematical Programming}",
}

@Article{int:Du1,
  author =       "D. Z. Du and F. Wu and X. S. Zhang",
  title =        "Why is the objective function nonlinearized in the
                 interior point methods for nonlinear programming?",
  journal =      "Mathematics in Practice and Theory",
  volume =       "2",
  year =         "1990",
  pages =        "63--68",
  note =         "(In Chinese)",
}

@Article{int:Duff1,
  author =       "I. S. Duff",
  title =        "The solution of large--scale least--squares problems
                 on supercomputers",
  journal =      "Annals of Operations Research",
  volume =       "22",
  year =         "1990",
  pages =        "241--252",
}

@TechReport{int:Eckstein1,
  author =       "J. Eckstein and R. Qi and V. I. Ragulin and S. A.
                 Zenios",
  title =        "Data--parallel implementations of dense linear
                 programming algorithms",
  type =         "{Technical Report}",
  number =       "TMC--230",
  year =         "1992",
  month =        may,
  institution =  "Thinking Machines Corporation",
  address =      "Cambridge, MA~02142, USA",
  note =         "Also available as Decision Sciences Department
                 Report~92--05--06, The Wharton School, University of
                 Pennsylvania, Philadelphia, PA~19101, USA",
}

@Article{int:Economist1,
  key =          "Economist",
  title =        "Not so simplex",
  journal =      "The Economist",
  year =         "1984",
  month =        dec # " 1,",
}

@TechReport{int:Edirisinghe1,
  author =       "C. Edirisinghe and W. Ziemba",
  title =        "A boundary point algorithm for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Commerce and Business Administration,
                 University of British Columbia",
  address =      "Vancouver, BC~V6T~1Y8, Canada",
}

@TechReport{int:Edwards1,
  author =       "J. J. Edwards and J. A. Tomlin",
  title =        "Towards a highly parallel mathematical programming
                 system",
  type =         "{Talk held at the 14th International Mathematical
                 Programming Symposium in Amsterdam, The Netherlands}",
  year =         "1991",
  month =        aug,
  institution =  "IBM Almaden Research Center",
  address =      "San Jose, CA~95120, USA",
  note =         "{Technical Report in preparation}",
}

@TechReport{int:ElBakry1,
  author =       "A. S. {El--Bakry} and R. A. Tapia and Y. Zhang",
  title =        "A study of indicators for identifying zero variables
                 in interior--point methods",
  type =         "{Technical Report}",
  number =       "TR--91--15",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  note =         "Revised December 1992. To appear in {\em Siam
                 Review}",
}

@TechReport{int:ElBakry2,
  author =       "A. S. {El--Bakry} and R. A. Tapia and Y. Zhang",
  title =        "Numerical comparisons of local convergence strategies
                 for interior--point methods in linear programming",
  type =         "{Technical Report}",
  number =       "TR~91--18",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:ElBakry3,
  author =       "A. S. {El--Bakry} and R. A. Tapia and Y. Zhang",
  title =        "On obtaining highly accurate or basic solutions using
                 interior--point methods in linear programming",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@PhdThesis{int:ElBakry4,
  author =       "A. S. {El--Bakry}",
  title =        "On the role of indicators in identifying zero
                 variables in linear programming",
  year =         "1991",
  school =       "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Emmett1,
  author =       "A. Emmett",
  title =        "Karmarkar's algorithm~: {A} threat to simplex~?",
  journal =      "IEEE Spectrum",
  volume =       "22",
  number =       "12",
  year =         "1985",
  month =        dec,
  pages =        "54--55",
}

@Article{int:Encheva1,
  author =       "T. J. Encheva",
  title =        "Computational comparisons for the method of centers of
                 gravity of vertices",
  journal =      "Serdica (Bulgaricae Mathematicae Publicationes)",
  volume =       "16",
  number =       "3",
  year =         "1990",
  pages =        "188--193",
}

@TechReport{int:Eriksson1,
  author =       "J. R. Eriksson",
  title =        "Algorithms for entropy and mathematical programming",
  type =         "Link{\"o}ping Studies in Science and Technology
                 Dissertations",
  number =       "63",
  year =         "1981",
  institution =  "Dept.\ of Mathematics, Link{\"o}ping University",
  address =      "S--58183~Link{\"o}ping, Sweden",
}

@TechReport{int:Eriksson2,
  author =       "J. R. Eriksson",
  title =        "An iterative primal--dual algorithm for linear
                 programming",
  type =         "{Technical Report}",
  number =       "LiTH--MAT--R--1985--10",
  year =         "1985",
  institution =  "Dept.\ of Mathematics, Link{\"o}ping University",
  address =      "S--58183~Link{\"o}ping, Sweden",
}

@TechReport{int:Eriksson3,
  author =       "J. R. Eriksson",
  title =        "Using the entropy function to get an interior point
                 method for linear programming",
  type =         "{Technical Report}",
  number =       "LiTH--MAT--R--1990--02",
  year =         "1990",
  institution =  "Dept.\ of Mathematics, Link{\"o}ping University",
  address =      "S--58183~Link{\"o}ping, Sweden",
}

@TechReport{int:Fang1,
  author =       "W. Fang and W. Shi--Quan",
  title =        "New algorithms for linear programming",
  type =         "{Technical Report}",
  year =         "19..(?)",
  institution =  "Institute of Applied Mathematics, Academia Sinica",
  address =      "Beijing, People Republic of China",
}

@TechReport{int:Fang2,
  author =       "S. C. Fang and S. C. Puthenpura and R. Saigal and P.
                 Sinha",
  title =        "Stochastic linear programming via affine scaling and
                 {Kalman}",
  type =         "{Technical Memorandum}",
  number =       "51173--900808--01~TM",
  year =         "1989",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Fang3,
  author =       "S. C. Fang",
  title =        "A new unconstrained convex programming approach to
                 linear programming",
  journal =      "Zeitschrift f{\"u}r Operations Research---Methods and
                 Models of Operations Research",
  volume =       "36",
  number =       "2",
  year =         "1992",
  pages =        "149--161",
}

@Book{int:Fang4,
  author =       "S. C. Fang and S. Puthenpura",
  title =        "Linear Optimization and Extensions",
  chapter =      "6~: {Karmarkar's} projective scaling algorithm,
                 chapter 7~: {Affine} scaling algorithm, chapter 8~:
                 {Insights} into the interior--point methods, chapter
                 9~: {Affine} scaling for convex quadratic programming,
                 chapter 10~: {Implementation of interior--point
                 methods}",
  year =         "1993",
  publisher =    "Prentice Hall",
  address =      "Englewood Cliffs, NJ~07632, USA",
  note =         "(In press)",
}

@TechReport{int:Fang5,
  author =       "S. C. Fang and J. H. S. Tsao",
  title =        "Linear programming with an entropic perturbation",
  type =         "{OR Research Report}",
  number =       "259",
  year =         "1991",
  month =        oct,
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
  note =         "To appear in {\em Zeitscrift f{\"u}r Operations
                 Research -- Methods and Model of Operations Research
                 1993}",
}

@TechReport{int:Fang6,
  author =       "S. C. Fang and J. H. S. Tsao",
  title =        "An unconstrained convex programming approach to
                 solving convex quadratic programming problems",
  type =         "{OR Research Report}",
  number =       "263",
  year =         "1992",
  month =        apr,
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
  note =         "To appear in {\em Optimization, 1992}",
}

@TechReport{int:Fang7,
  author =       "S. C. Fang and S. Y. Wu",
  title =        "An inexact approach to solving linear semi--infinite
                 programming problems",
  type =         "{OR Research Report}",
  number =       "265",
  year =         "1992",
  month =        nov,
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
}

@TechReport{int:Fang8,
  author =       "S. C. Fang and S. Y. Wu",
  title =        "Entropic path--following for linear semi--infinite
                 programming",
  type =         "{OR Research Report}",
  number =       "266",
  year =         "1992",
  month =        dec,
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
}

@TechReport{int:Fang9,
  author =       "S. C. Fang",
  title =        "Dynamic facility network planning -- {An LP} loader",
  type =         "{Technical Memorandum}",
  number =       "54112--860610--01~TM",
  year =         "1986",
  month =        jun,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Fang10,
  author =       "S. C. Fang",
  title =        "Dynamic facility network planning -- {A} solution
                 architecture with block {Cholesky} factorization",
  type =         "{Technical Memorandum}",
  number =       "54112--860305--01~TM",
  year =         "1986",
  month =        mar,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Fang11,
  author =       "S. C. Fang and L. A. Slutsman",
  title =        "Dynamic facility network planning -- {Design}
                 architecture",
  type =         "{Technical Memorandum}",
  number =       "54112--860226--01~TM",
  year =         "1986",
  month =        feb,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Fang12,
  author =       "S. C. Fang and L. A. Slutsman",
  title =        "Dynamic facility network planning -- {Modeling}",
  type =         "{Technical Memorandum}",
  number =       "54112--850915--01~TM",
  year =         "1985",
  month =        sep,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Farrell1,
  author =       "J. J. Farrell",
  title =        "Recent advances in linear programming applied to
                 global defense",
  journal =      "Proceedings of the 27th IEEE Conference on Decision
                 and Control, Austin, TX, USA",
  year =         "1988",
  month =        dec,
  pages =        "242--243",
}

@TechReport{int:Fask1,
  author =       "A. Fask and W. F. Walker",
  title =        "A polynomial--time algorithm for solving
                 transportation problems where the sources are bounded",
  type =         "{Talk held at ORSA/TIMS Joint National Meeting in New
                 Orleans, USA}",
  year =         "1987",
  month =        may,
  institution =  "Farleigh Dickinson University",
  address =      "Madison, NJ~07940, USA",
}

@InCollection{int:Faybusovich1,
  author =       "L. Faybusovich",
  title =        "Interior--point methods and entropy",
  booktitle =    "Proceedings of the 30th IEEE Conference on Decision
                 and Control, Brighton, United Kingdom, December 1991",
  year =         "1991",
  pages =        "2094--2095",
  publisher =    "IEEE New York",
  address =      "New York, NY, USA",
}

@Article{int:Ferris1,
  author =       "M. C. Ferris and A. B. Philpott",
  title =        "On the performance of {K}armarkar's algorithm",
  journal =      "Journal of the Operational Research Society",
  volume =       "39",
  year =         "1988",
  pages =        "257--270",
}

@Article{int:Ferris2,
  author =       "M. C. Ferris and A. B. Philpott",
  title =        "An interior point algorithm for semi--infinite linear
                 programming",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "257--276",
}

@Article{int:Ferris3,
  author =       "M. C. Ferris and A. B. Philpott",
  title =        "On affine scaling and semi--infinite programming",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1992",
  pages =        "361--364",
}

@InCollection{int:Fiacco1,
  author =       "A. V. Fiacco",
  title =        "Barrier methods in nonlinear programming",
  booktitle =    "Operations Research Support Methodology",
  year =         "1979",
  pages =        "377--440",
  editor =       "A. Holzman",
  publisher =    "Marcel Dekker",
  address =      "New York",
}

@Article{int:Fiacco2,
  author =       "A. V. Fiacco",
  title =        "Perturbed variations of penalty function methods ---
                 example~: {Projective SUMT}",
  journal =      "Annals of Operations Research",
  volume =       "27",
  year =         "1990",
  pages =        "371--380",
}

@Book{int:Fiacco3,
  author =       "A. V. Fiacco and G. P. McCormick",
  title =        "Nonlinear Programming~: Sequential Unconstrained
                 Minimization Techniques",
  publisher =    "John Wiley \& Sons",
  year =         "1968",
  address =      "New York",
  note =         "Reprint : Volume 4 of {\em SIAM Classics in Applied
                 Mathematics}, SIAM Publications, Philadelphia,
                 PA~19104--2688, USA, 1990",
}

@InCollection{int:Fletcher1,
  author =       "R. Fletcher",
  title =        "Recent developments in linear and quadratic
                 programming",
  booktitle =    "The State--of--the--Art in Numerical Analysis",
  publisher =    "Oxford University Press",
  address =      "Oxford",
  editor =       "A. Iserles and M. J. D. Powell",
  year =         "1987",
  pages =        "213--243, esp.~219--224",
}

@InBook{int:Fletcher2,
  author =       "R. Fletcher",
  title =        "Practical Methods of Optimization",
  chapter =      "8.7~: {P}olynomial time algorithms",
  pages =        "183--188",
  publisher =    "John Wiley~\&~Sons",
  address =      "New York",
  edition =      "second",
  year =         "1987",
}

@Article{int:Forrest1,
  author =       "J. J. H. Forrest and J. A. Tomlin",
  title =        "Vector processing in simplex and interior methods for
                 linear programming",
  journal =      "Annals of Operations Research",
  volume =       "22",
  year =         "1990",
  pages =        "71--100",
}

@Article{int:Forrest2,
  author =       "J. J. H. Forrest and J. A. Tomlin",
  title =        "Implementing interior point linear programming methods
                 in the {Optimization Subroutine Library}",
  journal =      "IBM Systems Journal",
  volume =       "31",
  number =       "1",
  year =         "1992",
  pages =        "26--38",
}

@TechReport{int:Forsgren1,
  author =       "A. L. Forsgren and W. Murray",
  title =        "Newton methods for large--scale linear
                 equality--constrained minimization",
  type =         "{Technical Report}",
  number =       "SOL~90--6",
  year =         "1990",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Fourer1,
  author =       "R. Fourer and S. Mehrotra",
  title =        "Performance of an augmented system approach for
                 solving least--squares problems in an interior--point
                 method for linear programming",
  type =         "{Technical Report (in preparation)}",
  year =         "1991",
  institution =  "Dept.\ of Industrial Engineering and Management
                 Sciences, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Fourer2,
  author =       "R. Fourer and S. Mehrotra",
  title =        "Performance of an augmented system approach for
                 solving least--squares problems in an interior--point
                 method for linear programming",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "26--31",
}

@TechReport{int:Fourer3,
  author =       "R. Fourer and S. Mehrotra",
  title =        "Solving symmetric indefinite systems in an
                 interior--point method for linear programming",
  type =         "{Technical Report}",
  number =       "92--01",
  year =         "1992",
  month =        jan,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Sciences, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Fraley1,
  author =       "C. Fraley",
  title =        "Linear updates for a single -- phase projective
                 method",
  journal =      "Operations Research Letters",
  volume =       "9",
  year =         "1990",
  pages =        "169--174",
}

@TechReport{int:Fraley2,
  author =       "C. Fraley and J. P. Vial",
  title =        "Single -- phase versus multiple -- phase projective
                 methods for linear programming",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "COMIN, University of Geneva",
  address =      "2~Rue de Candolle, CH--1211~Geneva~4, Switzerland",
}

@InCollection{int:Fraley3,
  author =       "C. Fraley and J. P. Vial",
  title =        "Numerical study of projective methods for linear
                 programming",
  booktitle =    "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  editor =       "S. Dolecki",
  year =         "1989",
  pages =        "25--38",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@TechReport{int:Fraley4,
  author =       "C. Fraley",
  title =        "Computational aspects of some projective methods for
                 linear programming",
  type =         "{Working Paper}",
  year =         "1988",
  institution =  "COMIN, University of Geneva",
  address =      "2~Rue de Candolle, CH--1211~Geneva~4, Switzerland",
}

@Article{int:Fraley5,
  author =       "C. Fraley and J. P. Vial",
  title =        "Alternative approaches to feasibility in projective
                 methods for linear programming",
  journal =      "ORSA Journal on Computing",
  volume =       "4",
  year =         "1992",
  pages =        "285--299",
}

@Article{int:Franklin1,
  author =       "J. Franklin",
  title =        "Convergence in {K}armarkar's algorithm for linear
                 programming",
  journal =      "SIAM Journal on Numerical Analysis",
  volume =       "24",
  year =         "1987",
  pages =        "928--945",
}

@TechReport{int:Freedman1,
  author =       "B. A. Freedman and S. C. Puthenpura and L. P. Sinha",
  title =        "A new affine scaling based algorithm for optimizing
                 convex, nonlinear functions with linear constraints",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Freund1,
  author =       "R. M. Freund",
  title =        "An analogous of {K}armarkar's algorithm for inequality
                 constrained linear programs, with a 'new' class of
                 projective transformations for centering a polytope",
  journal =      "Operations Research Letters",
  volume =       "7",
  year =         "1988",
  pages =        "9--13",
}

@Article{int:Freund2,
  author =       "R. M. Freund",
  title =        "Polynomial--time algorithms for linear programming
                 based only on primal scaling and projected gradients of
                 a potential function",
  journal =      "Mathematical Programming",
  volume =       "51",
  year =         "1991",
  pages =        "203--222",
}

@TechReport{int:Freund3,
  author =       "R. M. Freund",
  title =        "A generalization/extension of {K}armarkar's algorithm
                 for inequality constrained linear programs based on
                 projective centering of the polyhedra",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund4,
  author =       "R. M. Freund",
  title =        "Projective transformations for finding the w--center
                 of a polyhedra",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund5,
  author =       "R. M. Freund",
  title =        "Projective transformations for interior point methods,
                 {Part~I~: B}asic theory and linear programming",
  type =         "{Working Paper}",
  number =       "2049--88",
  year =         "1988",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund6,
  author =       "R. M. Freund",
  title =        "Projective transformations for interior point methods,
                 {Part~II~: A}nalysis of an algorithm for finding the
                 weighted center of a polyhedral system",
  type =         "{Working Paper}",
  number =       "2050--88",
  year =         "1988",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@Article{int:Freund7,
  author =       "R. M. Freund",
  title =        "Theoretical efficiency of a shifted barrier function
                 algorithm for linear programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "19--41",
}

@Article{int:Freund8,
  author =       "R. M. Freund",
  title =        "A potential--function reduction algorithm for solving
                 a linear program directly from an infeasible 'warm
                 start'",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "441--466",
}

@TechReport{int:Freund9,
  author =       "R. M. Freund",
  title =        "Theoretical efficiency of solving a linear program
                 from an infeasible 'warm start'",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund10,
  author =       "R. M. Freund",
  title =        "Interior point algorithms for solving a linear program
                 directly from an infeasible 'warm start'",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund11,
  author =       "R. M. Freund",
  title =        "Recent results and perspectives on solving linear
                 programming from an infeasible 'warm start'",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund12,
  author =       "R. M. Freund",
  title =        "Newton's method for general parametric center
                 problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@Article{int:Freund13,
  author =       "R. M. Freund and K. C. Tan",
  title =        "A method for the parametric center problem, with a
                 strictly monotone polynomial--time algorithm for linear
                 programming",
  journal =      "Mathematics of Operations Research",
  volume =       "16",
  number =       "4",
  year =         "1991",
  pages =        "775--801",
}

@TechReport{int:Freund14,
  author =       "R. M. Freund and K. C. Tan",
  title =        "A parametric center algorithm and a strictly monotonic
                 central path algorithm for {LP}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund15,
  author =       "R. M. Freund and K. C. Tan",
  title =        "Newton's method for parametric center problems",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund16,
  author =       "R. M. Freund",
  title =        "Interior--point methods for linear programming~: {A}
                 status report",
  type =         "{Tutorial held at the ORSA/TIMS Joint National Meeting
                 in Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund17,
  author =       "R. M. Freund",
  title =        "Projective transformations for interior point
                 algorithms, a superlinearly convergent algorithm for
                 the w--center problem",
  type =         "{Working Paper}",
  year =         "1989",
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@TechReport{int:Freund18,
  author =       "R. M. Freund",
  title =        "A combined {phase~I -- phase~II} algorithm for {LP}
                 based on the intuitive geometry of linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund19,
  author =       "R. M. Freund",
  title =        "Pre--selection of the {phase~I -- phase~II} balance in
                 a path--following algorithm for the 'warm start' linear
                 programming problem",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund20,
  author =       "R. M. Freund",
  title =        "A potential reduction algorithm with user--specified
                 {phase~I --- phase~II} balance, for solving a linear
                 program from an infeasible warm start",
  type =         "{Technical Report}",
  number =       "981",
  year =         "1991",
  month =        oct,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Freund21,
  author =       "R. M. Freund and K. C. Tan",
  title =        "Newton's method for the general parametric centering
                 problem with applications",
  type =         "{Working Paper}",
  year =         "1990",
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@TechReport{int:Freund22,
  author =       "R. M. Freund",
  title =        "Projective transformations for interior point
                 algorithms",
  type =         "{Talk held at the AMS--ISM--SIAM Research Conference
                 on ''Mathematical Developments Arising from Linear
                 Programming'' in Bowdoin College, Brunswick, Maine,
                 USA}",
  year =         "1988",
  month =        jun,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund23,
  author =       "R. M. Freund",
  title =        "Computational complexity of tracing the path of
                 centers of a linear inequality system as the data for
                 the system is parametrically deformed",
  type =         "{Talk held at the Workshop on Complexity Issues for
                 Numerical Optimization, Cornell University, Ithaca, NY,
                 USA}",
  year =         "1991",
  month =        mar,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund24,
  author =       "R. M. Freund",
  title =        "Algorithms for solving a linear program from
                 infeasible warm start based on the intuitive geometrics
                 of {LP}",
  type =         "{Talk held at the 14th International Mathematical
                 Programming Symposium in Amsterdam, The Netherlands}",
  year =         "1991",
  month =        aug,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund25,
  author =       "R. M. Freund",
  title =        "Solving a linear program from an infeasible warm
                 start~:~ {C}onceptual issues, theory, and a new
                 interior point algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund26,
  author =       "R. M. Freund",
  title =        "Following a trajectory from an infeasible point to an
                 optimal linear programming solution",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:Freund27,
  author =       "R. M. Freund and M. J. Todd",
  title =        "Barrier functions and interior--point algorithms for
                 linear programming with zero--, one--, or two--sided
                 bounds on the variables",
  type =         "{Technical Report}",
  number =       "1016",
  year =         "1992",
  month =        jul,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@Article{int:Freund28,
  author =       "R. M. Freund",
  title =        "Projective transformations for interior--point
                 algorithms, and a superlinearly convergent algorithm
                 for the w--center problem",
  journal =      "Mathematical Programming",
  volume =       "58",
  year =         "1993",
  pages =        "385--414",
  note =         "Amalgamation of Freund
                 \cite{int:Freund5,int:Freund6}",
}

@TechReport{int:Freund29,
  author =       "R. M. Freund",
  title =        "An infeasible--start algorithm for linear programming
                 whose complexity depends on the distance from the
                 starting point to the optimal solution",
  type =         "{Working Paper}",
  number =       "3359--93",
  year =         "1993",
  month =        apr,
  institution =  "Sloan School of Management, Massachusetts Institute of
                 Technology",
  address =      "Cambridge, MA~02139, USA",
}

@TechReport{int:RFreund1,
  author =       "R. Freund and F. Jarre",
  title =        "An interior--point method for convex fractional
                 programming",
  type =         "{Technical Report}",
  number =       "93--03",
  year =         "1993",
  month =        may,
  institution =  "AT{\&}T Bell Laboratories",
  address =      "Murray Hill NJ~07974, USA",
}

@TechReport{int:RFreund2,
  author =       "R. Freund and F. Jarre",
  title =        "An interior--point method for convex multi--fractional
                 programming",
  type =         "{Technical Report (in preparation)}",
  year =         "1993",
  institution =  "AT{\&}T Bell Laboratories",
  address =      "Murray Hill NJ~07974, USA",
}

@TechReport{int:RFreund3,
  author =       "R. Freund and F. Jarre",
  title =        "On the complexity of convex fractional programs",
  type =         "{Technical Report (in preparation)}",
  year =         "1993",
  institution =  "AT{\&}T Bell Laboratories",
  address =      "Murray Hill NJ~07974, USA",
}

@Article{int:Fricker1,
  author =       "F. Fricker",
  title =        "{Komplexe Optimierungsaufgaben schneller
                 l{\"o}sen~(Solving complex optimization problems
                 faster)}",
  journal =      "Frankfurter Allgemeine Zeitung, Sektion~: Natur und
                 Wissen",
  year =         "1985",
  month =        mar # " 27,",
  note =         "(In German)",
}

@TechReport{int:Frisch1,
  author =       "K. R. Frisch",
  title =        "The logarithmic potential method for convex
                 programming",
  type =         "Unpublished manuscript",
  year =         "1955",
  month =        may,
  institution =  "Institute of Economics, University of Oslo",
  address =      "Oslo, Norway",
}

@Article{int:Frisch2,
  author =       "K. R. Frisch",
  title =        "The multiplex method for linear programming",
  journal =      "Sankhya",
  volume =       "18",
  year =         "1957",
  pages =        "329--362",
}

@TechReport{int:Frisch3,
  author =       "K. R. Frisch",
  title =        "Principles of linear programming---{W}ith a particular
                 reference to the double gradient form of the
                 logarithmic potential method",
  type =         "Memorandum",
  year =         "1954",
  month =        oct,
  institution =  "Institute of Economics, University of Oslo",
  address =      "Oslo, Norway",
}

@TechReport{int:Frisch4,
  author =       "K. R. Frisch",
  title =        "Linear dependencies and a mechanized form of the
                 multiplex method for linear programming",
  type =         "Memorandum",
  year =         "1957",
  institution =  "Institute of Economics, University of Oslo",
  address =      "Oslo, Norway",
}

@Article{int:Fukushima1,
  author =       "M. Fukushima and N. Arai and T. Ibaraki",
  title =        "An interior method for nonlinear minimum cost network
                 flow problems",
  journal =      "Systems and Control (Japan)",
  volume =       "31",
  number =       "11",
  year =         "1987",
  pages =        "837--843",
}

@Article{int:Garcia1,
  author =       "C. B. Garcia and F. J. Gould",
  title =        "An application of homotopy to solving linear
                 programs",
  journal =      "Mathematical Programming",
  volume =       "27",
  year =         "1983",
  pages =        "263--282",
}

@Article{int:Garey1,
  author =       "M. R. Garey and D. M. Gay",
  title =        "Letter from the {AT~\&~T Laboratories}",
  journal =      "Mathematical Programming Society Committee on
                 Algorithms (COAL) Newsletter",
  year =         "1985",
  month =        dec,
}

@InBook{int:Garfunkel1,
  author =       "S. A. Garfunkel and L. A. Steen and J. Malkevitch",
  title =        "For All Practical Purposes~: Introduction to
                 Contemporary Mathematics",
  chapter =      "4~: {L}inear programming~: {A}n alternative to the
                 simplex method",
  pages =        "80--83, 362",
  publisher =    "W. H. Freeman and Company",
  address =      "New York",
  year =         "1988",
}

@TechReport{int:Gay1,
  author =       "D. M. Gay",
  title =        "Sparse projections in {K}armarkar's linear programming
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Atlanta, GA, USA}",
  year =         "1985",
  month =        nov,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "No underlying report",
}

@TechReport{int:Gay2,
  author =       "D. M. Gay",
  title =        "Pictures of {K}armarkar's linear programming
                 algorithm",
  type =         "{Computer Science Technical Report}",
  number =       "136",
  year =         "1987",
  month =        jan,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Gay3,
  author =       "D. M. Gay",
  title =        "A variant of {K}armarkar's linear programming
                 algorithm for problems in standard form",
  journal =      "Mathematical Programming",
  volume =       "37",
  year =         "1987",
  pages =        "81--90",
  note =         "Errata in {\em Mathematical Programming}, 40:111,
                 1988",
}

@Article{int:Gay4,
  author =       "D. M. Gay",
  title =        "Massive memory buys little speed for complete,
                 in--core sparse {C}holesky factorizations on some
                 scalar computers",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "291--314",
}

@InCollection{int:Gay5,
  author =       "D. M. Gay",
  title =        "Stopping tests that compute optimal solutions for
                 interior--point linear programming algorithms",
  booktitle =    "Advances in Numerical Partial Differential Equations
                 and Optimization~:~Proceedings of the Fifth
                 Mexico--United States Workshop",
  year =         "1991",
  pages =        "17--42",
  editor =       "S. Gomez and J. P. Hennart and R. A. Tapia",
  series =       "Proceedings in Applied Mathematics",
  volume =       "47",
  publisher =    "SIAM Publications",
  address =      "Philadelphia, PA, USA",
}

@Article{int:Gay6,
  author =       "D. M. Gay and N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "The {K}armarkar algorithm~: {A}dding wings to linear
                 programming",
  journal =      "Record AT~\&~T~Bell Laboratories",
  volume =       "64",
  number =       "2",
  year =         "1986",
  pages =        "4--10",
}

@Book{int:Gay7,
  author =       "D. M. Gay and M. Kojima and R. A. Tapia",
  title =        "Interior Point Methods for Linear Programming",
  year =         "1991",
  month =        jul,
  series =       "Linear Algebra and Its Applications",
  volume =       "152",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@Article{int:Ge1,
  author =       "R. Ge",
  title =        "Solving linear programming problems via linear minimax
                 problems",
  journal =      "Applied Mathematics and Computation",
  volume =       "46",
  number =       "1",
  year =         "1991",
  pages =        "59--77",
}

@InBook{int:Gelbaum1,
  author =       "B. R. Gelbaum",
  title =        "Linear Algebra~: Basics, Practice and Theory",
  chapter =      "5.7~: {The K}armarkar algorithm",
  pages =        "504--527",
  publisher =    "North Holland",
  address =      "New York",
  year =         "1989",
}

@TechReport{int:Ghare1,
  author =       "P. Ghare",
  title =        "Free decision variables and simplified interior point
                 methods for linear programming",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Northern Virginia Graduate Centre",
  address =      "USA",
}

@Article{int:Ghellinck1,
  author =       "{G. de} Ghellinck and J. P. Vial",
  title =        "A polynomial {N}ewton method for linear programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "425--453",
}

@Article{int:Ghellinck2,
  author =       "{G. de} Ghellinck and J. P. Vial",
  title =        "An extension of {K}armarkar's algorithm for solving a
                 system of linear homogeneous equations on the simplex",
  journal =      "Mathematical Programming",
  volume =       "39",
  year =         "1987",
  pages =        "79--92",
}

@TechReport{int:Ghellinck3,
  author =       "{G. de} Ghellinck and J. P. Vial",
  title =        "A unified approach to projective and affine algorithms
                 for linear programming",
  type =         "{Talk held at the EURO/TIMS Joint International
                 Conference on Operational Research in Paris, France}",
  year =         "1988",
  month =        jul,
  institution =  "Center of Operations Research and Econometrics,
                 Universite Catholique de Louvain",
  address =      "B--1348~Louvain--la--Neuve, Belgium",
}

@TechReport{int:Gill1,
  author =       "P. E. Gill and W. Murray and M. A. Saunders",
  title =        "A single -- phase dual barrier method for linear
                 programming",
  type =         "{Technical Report}",
  number =       "SOL~88--10",
  year =         "1988",
  month =        aug,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill2,
  author =       "P. E. Gill and W. Murray and M. A. Saunders",
  title =        "Interior--point methods for linear programs : {A}
                 challenge to the simplex method",
  type =         "{Technical Report}",
  number =       "SOL~88--14",
  year =         "1988",
  month =        jul,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill3,
  author =       "P. E. Gill and W. Murray and M. A. Saunders and M. H.
                 Wright",
  title =        "A note on nonlinear approaches to linear programming",
  type =         "{Technical Report}",
  number =       "SOL~86--7",
  year =         "1986",
  month =        apr,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill4,
  author =       "P. E. Gill and W. Murray and M. A. Saunders and M. H.
                 Wright",
  title =        "Convergence results for a shifted barrier linear
                 programming method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill5,
  author =       "P. E. Gill and W. Murray and M. A. Saunders and M. H.
                 Wright",
  title =        "Shifted barrier methods for linear programming",
  type =         "{Technical Report}",
  number =       "SOL~88--9",
  year =         "1988",
  month =        aug,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill6,
  author =       "P. E. Gill and A. Marxen and W. Murray and M. A.
                 Saunders and M. H. Wright",
  title =        "Solution of the primal {LP}-problem by a barrier
                 method~: {S}ome implementation aspects",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
  note =         "See Marxen \cite{int:Marxen1,int:Marxen2}",
}

@Article{int:Gill7,
  author =       "P. E. Gill and W. Murray and M. A. Saunders and J. A.
                 Tomlin and M. H. Wright",
  title =        "On projected {N}ewton barrier methods for linear
                 programming and an equivalence to {K}armarkar's
                 projective method",
  journal =      "Mathematical Programming",
  volume =       "36",
  year =         "1986",
  pages =        "183--209",
}

@TechReport{int:Gill8,
  author =       "P. E. Gill and W. Murray and D. B. Ponceleon and M. A.
                 Saunders",
  title =        "Primal--dual methods for linear programming",
  type =         "{Technical Report}",
  number =       "SOL~91-3",
  year =         "1991",
  month =        may,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Gill9,
  author =       "P. E. Gill and W. Murray and D. B. Ponceleon and M. A.
                 Saunders",
  title =        "Solving reduced {KKT}--systems in barrier methods for
                 linear and quadratic programming",
  type =         "{Technical Report}",
  number =       "SOL~91-7",
  year =         "1991",
  month =        jul,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Book{int:Gill10,
  author =       "P. E. Gill and W. Murray and M. H. Wright",
  title =        "Numerical Linear Algebra and Optimization, {V}ol.\ 2",
  publisher =    "Addison Wesley Publishing Company",
  year =         "1992",
  address =      "Amsterdam, The Netherlands",
  note =         "Chapter on interior point methods",
}

@Article{int:Gill11,
  author =       "P. E. Gill and W. Murray and D. B. Ponceleon and M. A.
                 Saunders",
  title =        "Preconditioners for indefinite systems arising in
                 optimization",
  journal =      "SIAM Journal on Matrix Analysis and Applications",
  volume =       "13",
  year =         "1992",
  pages =        "292--311",
}

@Article{int:Glassman1,
  author =       "N. D. Glassman",
  title =        "{ONR (Office of Naval Research)} focuses on interior
                 methods",
  journal =      "SIAM News",
  volume =       "20",
  number =       "2",
  pages =        "12",
  year =         "1987",
  month =        mar,
}

@Article{int:Gleick1,
  author =       "J. Gleick",
  title =        "Breakthrough in problem solving",
  journal =      "The New York Times",
  year =         "1984",
  month =        nov # " 19,",
}

@TechReport{int:Goessl1,
  author =       "H. Goessl",
  title =        "{Eine Modifikation des Verfahrens von Karmarkar
                 basierend auf einer Formulierung des Algorithmus im
                 Originalproblem~(A modification of Karmarkar's
                 algorithm based on a formulation of the algorithm in
                 the original problem)}",
  type =         "{Interner Bericht der intergrierten Arbeitsgruppe
                 Mathematische Probleme aus dem Ingenieurbereich}",
  year =         "1986",
  month =        oct,
  institution =  "Fachbereich Mathematik, Gesamthochschule Wuppertal",
  address =      "D--5600~Wuppertal~1, West--Germany",
  note =         "(In German)",
}

@TechReport{int:Goessl2,
  author =       "H. Goessl",
  title =        "{Eine Verallgemeinerung und eine duale Variante des
                 Verfahrens von de Ghellinck und Vial zur linearen
                 Optimierung~(A generalization and a dual variant of the
                 algorithm of de Ghellinck and Vial for linear
                 programming)}",
  type =         "{Interner Bericht der intergrierten Arbeitsgruppe
                 Mathematische Probleme aus dem Ingenieurbereich}",
  year =         "1987",
  month =        dec,
  institution =  "Fachbereich Mathematik, Gesamthochschule Wuppertal",
  address =      "D--5600~Wuppertal~1, West--Germany",
  note =         "(In German)",
}

@PhdThesis{int:Goessl3,
  author =       "H. Goessl",
  title =        "{Varianten der polynomialen Newtonmethode zur linearen
                 Optimierung~(Variants of the polynomial Newton method
                 for linear programming)}",
  year =         "1989",
  school =       "Fachbereich Mathematik, Gesamthochschule Wuppertal",
  address =      "D--5600~Wuppertal~1, West--Germany",
  note =         "(In German)",
}

@InCollection{int:Goffin1,
  author =       "J. L. Goffin",
  title =        "Affine and projective methods in nondifferentiable
                 optimization",
  booktitle =    "Trends in Mathematical Optimization~: Proceedings of
                 the 4th French--German Conference on Optimization in
                 Irsee, West--Germany, April 1986",
  editor =       "K. H. Hoffmann and J. B. Hiriat--Urruty and C.
                 Lemarechal and J. Zowe",
  series =       "International Series of Numerical Mathematics",
  volume =       "84",
  year =         "1988",
  pages =        "79--91",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
}

@TechReport{int:Goffin2,
  author =       "J. L. Goffin",
  title =        "Decomposition and large scale optimization with the
                 interior point algorithms",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Faculty of Management, McGill University",
  address =      "Montreal, Ontario, Canada",
}

@Article{int:Goffin3,
  author =       "J. L. Goffin and J. P. Vial",
  title =        "Cutting planes and column generation techniques with
                 the projective algorithm",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "65",
  year =         "1990",
  pages =        "409--429",
}

@Article{int:Goffin4,
  author =       "J. L. Goffin and A. Haurie and J. P. Vial",
  title =        "Decomposition and nondifferentiable optimization with
                 the projective algorithm",
  journal =      "Management Science",
  volume =       "38",
  number =       "2",
  year =         "1992",
  pages =        "284--302",
}

@TechReport{int:Goffin5,
  author =       "J. L. Goffin and J. P. Vial",
  title =        "Short steps with {K}armarkar's projective algorithm
                 for linear programming",
  type =         "Manuscript",
  year =         "1990",
  institution =  "Department d'Economic Commerciale et Industrielle,
                 Universite de Geneve",
  address =      "Geneve, Switzerland",
}

@Article{int:Goffin6,
  author =       "J. L. Goffin and J. P. Vial",
  title =        "On the computation of weighted analytic centers and
                 dual ellipsoids with the projective algorithm",
  journal =      "Mathematical Programming",
  volume =       "60",
  year =         "1993",
  pages =        "81--92",
}

@TechReport{int:Goffin7,
  author =       "J. L. Goffin and A. Haurie and J. P. Vial and D. L.
                 Zhu",
  title =        "Using central prices in the decomposition of linear
                 programs",
  type =         "{Research Working Paper Series}",
  year =         "1991",
  institution =  "Faculty of Management, McGill University",
  address =      "Montreal, Ontario, Canada",
  note =         "To appear in {\em European Journal of Operational
                 Research}",
}

@TechReport{int:Goffin8,
  author =       "J. L. Goffin",
  title =        "Affine methods in nondifferentiable optimization",
  type =         "{CORE Discussion Paper}",
  number =       "8744",
  year =         "1987",
  institution =  "Center for Operations Research and Econometrics,
                 Universite Catholique de Louvain",
  address =      "B--1348 Louvain--la--Neuve, Belgium",
}

@TechReport{int:Goffin9,
  author =       "J. L. Goffin and J. P. Vial",
  title =        "Experimentation with the interior cutting plane method
                 {(ICPM)}",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Faculty of Management, McGill University",
  address =      "Montreal, Ontario, Canada",
}

@TechReport{int:Goffin10,
  author =       "J. L. Goffin and J. P. Vial",
  title =        "On the computation of weighted analytic centers and
                 dual ellipsoids with the projective algorithm",
  type =         "{Manuscript}",
  year =         "1989",
  month =        jul,
  institution =  "Faculte des Sciences Economiques et Sociales,
                 Universite de Geneve",
  address =      "Geneve, Suisse",
}

@TechReport{int:Goffin11,
  author =       "J. L. Goffin and Z. Q. Luo and Y. Ye",
  title =        "On the complexity of a column generation algorithm for
                 convex or quasiconvex feasibility problems",
  type =         "{Technical Report}",
  number =       "93--06--07",
  year =         "1993",
  month =        jun,
  institution =  "Faculty of Management, McGill University",
  address =      "Montreal, Quebec~H3A~1G5, Canada",
  note =         "To appear in {\em Large Scale Optimization\,:
                 State--of--the--Art}, W. W. Hager, D. W. Hearn and P.
                 M. Pardalos (eds.), Kluwer Academic Publishers,
                 Dordrecht, The Netherlands, 1993",
}

@InCollection{int:Goldberg1,
  author =       "A. V. Goldberg and S. A. Plotkin and D. B. Shmoys and
                 E. Tardos",
  title =        "Interior--point methods in parallel computation",
  booktitle =    "Proceedings of the 30th Annual Symposium on
                 Foundations of Computer Science, Research Triangle
                 Park, NC, USA, 1989",
  year =         "1990",
  pages =        "350--355",
  publisher =    "IEEE Computer Society Press",
  address =      "Los Alamitos, CA, USA",
}

@Article{int:Goldberg2,
  author =       "A. V. Goldberg and S. A Plotkin and D. B. Shmoys and
                 E. Tardos",
  title =        "Using interior--point methods for fast parallel
                 algorithms for bipartite matching and related
                 problems",
  journal =      "SIAM Journal on Computing",
  volume =       "21",
  number =       "1",
  year =         "1992",
  pages =        "140--150",
}

@TechReport{int:Goldfarb1,
  author =       "D. Goldfarb",
  title =        "A relaxed version of {K}armarkar's method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Goldfarb2,
  author =       "D. Goldfarb",
  title =        "A primal projective interior point method for linear
                 programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Goldfarb3,
  author =       "D. Goldfarb and S. Liu",
  title =        "An ${O(n^{3}L)}$ primal interior point algorithm for
                 convex quadratic programming",
  journal =      "Mathematical Programming",
  volume =       "49",
  year =         "1990/91",
  pages =        "325--340",
}

@Article{int:Goldfarb4,
  author =       "D. Goldfarb and S. Mehrotra",
  title =        "A relaxed version of {K}armarkar's method",
  journal =      "Mathematical Programming",
  volume =       "40",
  year =         "1988",
  pages =        "289--315",
}

@Article{int:Goldfarb5,
  author =       "D. Goldfarb and S. Mehrotra",
  title =        "Relaxed variants of {K}armarkar's algorithm for linear
                 programs with unknown optimal objective value",
  journal =      "Mathematical Programming",
  volume =       "40",
  year =         "1988",
  pages =        "183--195",
}

@TechReport{int:Goldfarb6,
  author =       "D. Goldfarb and S. Mehrotra",
  title =        "A homogeneous equations variant of {K}armarkar's
                 algorithm for solving linear programs",
  type =         "{Talk held at ORSA/TIMS Joint National Meeting in New
                 Orleans, USA}",
  year =         "1987",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Goldfarb7,
  author =       "D. Goldfarb and S. Mehrotra",
  title =        "A self--correcting version of {K}armarkar's
                 algorithm",
  journal =      "SIAM Journal on Numerical Analysis",
  volume =       "26",
  year =         "1989",
  pages =        "1006--1015",
}

@InCollection{int:Goldfarb8,
  author =       "D. Goldfarb and M. J. Todd",
  title =        "{Linear Programming}",
  booktitle =    "Optimization",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
  editor =       "G. L. Nemhauser and A. H. G. {Rinnooy Kan} and M. J.
                 Todd",
  series =       "Handbooks in Operations Research and Management
                 Science",
  volume =       "1",
  year =         "1989",
  pages =        "141--170",
}

@Article{int:Goldfarb9,
  author =       "D. Goldfarb and S. Liu and S. Wang",
  title =        "A logarithmic barrier function algorithm for
                 quadratically constrained convex programming",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  year =         "1991",
  pages =        "252--267",
}

@TechReport{int:Goldfarb10,
  author =       "D. Goldfarb and S. Liu",
  title =        "Interior point potential function reduction algorithm
                 for solving convex quadratic programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Goldfarb11,
  author =       "D. Goldfarb and D. Xiao",
  title =        "A primal projective interior point method for linear
                 programming",
  journal =      "Mathematical Programming",
  volume =       "51",
  year =         "1991",
  pages =        "17--43",
}

@TechReport{int:Goldfarb12,
  author =       "D. Goldfarb and S. Liu",
  title =        "An {$O(n^{3}L)$} primal--dual potential reduction
                 algorithm for solving quadratic programs",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
  note =         "Submitted to {\em Mathematical Programming}",
}

@TechReport{int:Goldfarb13,
  author =       "D. Goldfarb and D. Xiao",
  title =        "A path--following projective interior point method for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
  note =         "To appear in {\em SIAM Journal on Optimization}",
}

@TechReport{int:Goldfarb14,
  author =       "D. Goldfarb and D. Xiao",
  title =        "On the complexity of a class of projective interior
                 point methods",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
  note =         "Submitted to {\em Mathematics of Operations
                 Research}",
}

@Article{int:Golshtejn1,
  author =       "E. G. Gol'shtejn and A. S. Nemirovsky and Y. E.
                 Nesterov",
  title =        "On some recent advances in optimization",
  journal =      "Ekonomika i Matematickeskie Metody (Moscow)",
  volume =       "26",
  number =       "1",
  year =         "1990",
  pages =        "178--190",
  note =         "(In Russian)",
}

@Article{int:Gondzio1,
  author =       "J. Gondzio",
  title =        "Splitting dense columns of constraint matrix in
                 interior point methods for large scale linear
                 programming",
  journal =      "Optimization",
  volume =       "24",
  year =         "1992",
  pages =        "285--297",
}

@TechReport{int:Gondzio2,
  author =       "J. Gondzio",
  title =        "An advanced implementation of {C}holesky factorization
                 for computing projections in interior point methods for
                 large scale linear programming",
  type =         "Cahier",
  number =       "107",
  year =         "1991",
  month =        dec,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
}

@TechReport{int:Gondzio3,
  author =       "J. Gondzio and D. Tachat",
  title =        "The design and application of the {IMPLO -- A FORTRAN}
                 library for linear optimization with interior point
                 methods",
  type =         "Cahier",
  number =       "108",
  year =         "1992",
  month =        jan,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
}

@Article{int:Gong1,
  author =       "D. P. Gong and S. R. Xu",
  title =        "An interior point algorithm for solving linear
                 programming problems with hybrid constraints",
  journal =      "Sinica Naturalis Univ.\,Sunyatsemi",
  volume =       "31",
  number =       "4",
  year =         "1992",
  pages =        "19--25",
  note =         "In Chinese, English summary",
}

@TechReport{int:Gonzaga1,
  author =       "C. C. Gonzaga",
  title =        "New results in conical projection methods for
                 mathematical programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "Dept.\ of Electrical Engineering and Computer Science,
                 University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Gonzaga2,
  author =       "C. C. Gonzaga",
  title =        "Search directions for interior linear programming
                 methods",
  journal =      "Algorithmica",
  volume =       "6",
  year =         "1991",
  pages =        "153--181",
}

@Article{int:Gonzaga3,
  author =       "C. C. Gonzaga",
  title =        "Interior point algorithms for linear programming
                 problems with inequality constraints",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "209--225",
}

@Article{int:Gonzaga4,
  author =       "C. C. Gonzaga",
  title =        "Polynomial affine algorithms for linear programming",
  journal =      "Mathematical Programming",
  volume =       "49",
  year =         "1990",
  pages =        "7--21",
}

@Article{int:Gonzaga5,
  author =       "C. C. Gonzaga",
  title =        "Conical projection algorithms for linear programming",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "151--173",
}

@InCollection{int:Gonzaga6,
  author =       "C. C. Gonzaga",
  title =        "An algorithm for solving linear programming problems
                 in ${O(n^{3}L)}$ operations",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer Verlag",
  address =      "New York",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "1--28",
}

@Article{int:Gonzaga7,
  author =       "C. C. Gonzaga",
  title =        "Large steps path--following methods for linear
                 programming, {Part~I}~: {B}arrier function method",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  year =         "1991",
  pages =        "268--279",
}

@Article{int:Gonzaga8,
  author =       "C. C. Gonzaga",
  title =        "Large steps path--following methods for linear
                 programming, {Part~II}~: {P}otential reduction method",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  year =         "1991",
  pages =        "280--292",
}

@TechReport{int:Gonzaga9,
  author =       "C. C. Gonzaga",
  title =        "An overview of ${O(\sqrt{n}L)}$--iteration algorithms
                 for linear programming",
  type =         "{Talk held at the 14th Conference on the Mathematics
                 of Operations Research in Dalfsen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga10,
  author =       "C. C. Gonzaga",
  title =        "A larger step path--following potential reduction
                 algorithm for linear programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga11,
  author =       "C. C. Gonzaga",
  title =        "Large steps potential reduction algorithms for linear
                 programming",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@Article{int:Gonzaga12,
  author =       "C. C. Gonzaga and M. J. Todd",
  title =        "An ${O(\sqrt{n}L)}$--iteration large--step
                 primal--dual affine algorithm for linear programming",
  journal =      "SIAM Journal on Optimization",
  volume =       "2",
  year =         "1992",
  pages =        "349--359",
}

@TechReport{int:Gonzaga13,
  author =       "C. C. Gonzaga",
  title =        "A conical projection algorithm for linear
                 programming",
  type =         "Memorandum",
  number =       "UCB/ERL~M85/61",
  year =         "1985",
  month =        jul,
  institution =  "Electronics Research Laboratory, University of
                 California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Gonzaga14,
  author =       "C. C. Gonzaga",
  title =        "On lower bound updates in primal potential reduction
                 methods for linear programming",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "415--428",
}

@TechReport{int:Gonzaga15,
  author =       "C. C. Gonzaga",
  title =        "A simple representation of {K}armarkar's algorithm",
  type =         "{Technical Report}",
  year =         "1988",
  month =        may,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga16,
  author =       "C. C. Gonzaga",
  title =        "On the convergence of the large step affine--scaling
                 algorithm for linear programming",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga17,
  author =       "C. C. Gonzaga",
  title =        "Trust region minimization in conical projection
                 algorithms",
  type =         "{Talk held at the Eleventh IFORS International
                 Conference on Operations Research in Buenos Aires,
                 Argentina}",
  year =         "1987",
  month =        aug,
  institution =  "Dept.\ of Electrical Engineering and Computer Science,
                 University of California",
  address =      "Berkeley, CA~94720, USA",
}

@TechReport{int:Gonzaga18,
  author =       "C. C. Gonzaga",
  title =        "Convergence of the large step primal affine--scaling
                 algorithm for primal nondegenerate linear programs",
  type =         "{Technical Report}",
  number =       "ES--230/90",
  year =         "1990",
  month =        sep,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@Article{int:Gonzaga19,
  author =       "C. C. Gonzaga",
  title =        "Path following methods for linear programming",
  journal =      "SIAM Review",
  volume =       "34",
  number =       "2",
  year =         "1992",
  pages =        "167--227",
}

@TechReport{int:Gonzaga20,
  author =       "C. C. Gonzaga",
  title =        "Path--following algorithms for linear and quadratic
                 programming",
  type =         "{Talk held at the Third SIAM Conference on
                 Optimization in Boston, MA, USA}",
  year =         "1989",
  month =        apr,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@Article{int:Gonzaga21,
  author =       "C. C. Gonzaga",
  title =        "An interior trust region method for linearly
                 constrained optimization",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "55--66",
}

@TechReport{int:Gonzaga22,
  author =       "C. C. Gonzaga and L. A. Carlos",
  title =        "A primal affine--scaling algorithm for linearly
                 constrained convex programs",
  type =         "{Technical Report}",
  number =       "ES--238/90",
  year =         "1990",
  month =        dec,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga23,
  author =       "C. C. Gonzaga",
  title =        "Ellipsoidal trust regions and prox functions for
                 linearly constrained nonlinear programs",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Gonzaga24,
  author =       "C. C. Gonzaga and R. A. Tapia",
  title =        "On the quadratic convergence of the simplified
                 {Mizuno--Todd--Ye} algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "91--41",
  year =         "1992",
  month =        jun,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  note =         "Revised November 1992",
}

@TechReport{int:Gonzaga25,
  author =       "C. C. Gonzaga and R. A. Tapia",
  title =        "On the convergence of the {Mizuno--Todd--Ye} algorithm
                 to the analytic center of the solution set",
  type =         "{Technical Report}",
  number =       "92--36",
  year =         "1992",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Gonzaga26,
  author =       "C. C. Gonzaga and R. A. Tapia",
  title =        "A quadratically convergent primal--dual algorithm for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1993",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  note =         "(In preparation)",
}

@Article{int:Gonzalez1,
  author =       "C. {Gonzalez Martin} and M. {Sanchez Garcia}",
  title =        "The method of {Karmarkar}~:\ {A} study of its
                 variants",
  journal =      "Trabajos de Investigacion Operativa",
  volume =       "6",
  number =       "1",
  year =         "1991",
  pages =        "3--25",
  note =         "(In Spain, English summary)",
}

@TechReport{int:Gray1,
  author =       "P. Gray and J. A. Kaliski and Y. Ye",
  title =        "An implementation of the build--up interior method for
                 linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "College of Business, Dept.\ of Management Sciences,
                 University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Greenberg1,
  author =       "H. J. Greenberg",
  title =        "The use of the optimal partition in a linear
                 programming solution for postoptimal analysis",
  type =         "{Technical Report}",
  year =         "1993",
  month =        mar,
  institution =  "Mathematics Department, University of Colorado",
  addres =       "Denver, CO~80217--3364, USA",
}

@Article{int:Groetschel1,
  author =       "M. Gr{\"o}tschel",
  title =        "{Patente f{\"u}r mathematische Algorithmen. (Patents
                 for mathematical algorithms)}",
  journal =      "Mitteilungen der Deutschen Mathematiker--Vereinigung",
  volume =       "{Heft 2}",
  year =         "1991",
  month =        apr,
  pages =        "52--56",
  note =         "(In German)",
}

@TechReport{int:Grover1,
  author =       "L. K. Grover",
  title =        "Strongly polynomial interior point algorithm for a
                 class of linear programming problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "School of Electrical Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Grover2,
  author =       "L. K. Grover",
  title =        "Interior point methods for unimodular linear
                 programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "School of Electrical Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Grover3,
  author =       "L. K. Grover",
  title =        "A force based approach to interior point algorithms
                 for linear programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "School of Electrical Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
}

@TechReport{int:Gueler1,
  author =       "O. G{\"u}ler and Y. Ye",
  title =        "Interior point algorithms for {LP} generate strictly
                 complementary solutions",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@Article{int:Gueler2,
  author =       "O. G{\"u}ler",
  title =        "Existence of interior points and interior paths in
                 nonlinear monotone complementarity problems",
  journal =      "Mathematics of Operations Research",
  volume =       "18",
  number =       "1",
  year =         "1993",
  pages =        "128--147",
}

@TechReport{int:Gueler3,
  author =       "O. G{\"u}ler and Y. Ye",
  title =        "Convergence behavior of some interior point
                 algorithms",
  type =         "{Working Paper}",
  number =       "91--04",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
  note =         "To appear in {\em Mathematical Programming 1993}",
}

@TechReport{int:Gueler4,
  author =       "O. G{\"u}ler",
  title =        "Path following and potential reduction algorithms for
                 nonlinear monotone complementarity problems",
  type =         "{Working Paper (in preparation)}",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Gueler5,
  author =       "O. G{\"u}ler",
  title =        "An interior point algorithm for nonlinear monotone
                 complementarity problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Gueler6,
  author =       "O. G{\"u}ler and {D. den} Hertog and C. Roos and T.
                 Terlaky and T. Tsuchiya",
  title =        "Degeneracy in interior point methods for linear
                 programming",
  type =         "{Technical Report}",
  number =       "91--102",
  year =         "1991",
  month =        dec,
  institution =  "Faculty of Technical Mathematics and Computer Science,
                 TU Delft",
  address =      "NL--2600~GA~Delft, The Netherlands",
}

@TechReport{int:Gueler7,
  author =       "O. G{\"u}ler and C. Roos and T. Terlaky and J. P.
                 Vial",
  title =        "Interior point approach to the theory of linear
                 programming",
  type =         "{Cahiers de Recherche}",
  number =       "1992.3",
  year =         "1992",
  institution =  "Faculte des Sciences Economique et Sociales,
                 Universite de Geneve",
  address =      "Geneve, Switzerland",
}

@TechReport{int:Gueler8,
  author =       "O. G{\"u}ler",
  title =        "Generalized linear complementarity problems and
                 interior point algorithms for their solutions",
  type =         "{Technical Report}",
  year =         "1992",
  month =        apr,
  institution =  "Faculty of Technical Mathematics and Computer Science,
                 TU Delft",
  address =      "NL--2600~GA~Delft, The Netherlands",
}

@TechReport{int:Gueler9,
  author =       "O. G{\"u}ler",
  title =        "Limiting behavior of the weighted central paths in
                 linear programming",
  type =         "{Technical Report}",
  year =         "1992",
  month =        may,
  institution =  "Faculty of Technical Mathematics and Computer Science,
                 TU Delft",
  address =      "NL--2600~GA~Delft, The Netherlands",
}

@InBook{int:Haemmerlin1,
  author =       "G. H{\"a}mmerlin and K. H. Hoffmann",
  title =        "Numerische Mathematik",
  chapter =      "9.4.4~: {Polynomiale Algorithmen}",
  year =         "1991",
  pages =        "424--430",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
  edition =      "second",
  note =         "(In German)",
}

@InCollection{int:Hajian1,
  author =       "M. Hajian and R. Levkovitz and G. Mitra",
  title =        "A branch and bound algorithm for discrete programming
                 using the interior point method and the simplex
                 method",
  booktitle =    "Symposium on Applied Mathematical Programming and
                 Modeling (APMOD '93), Budapest, Hungary, January 1993,
                 Volume of Extended Abstracts",
  editor =       "I. Maros",
  year =         "1992",
  month =        dec,
  pages =        "257--265",
  publisher =    "Computer and Automation Institute, Hungarian Academy
                 of Sciences",
  address =      "Budapest, Hungary",
}

@TechReport{int:Hall1,
  author =       "L. A. Hall and R. J. Vanderbei",
  title =        "Two--third is sharp for affine scaling",
  type =         "{Technical Report}",
  number =       "SOR--92--9",
  year =         "1992",
  month =        sep,
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@Article{int:Hamala1,
  author =       "M. Hamala",
  title =        "A general approach to interior point transformation
                 methods for mathematical programming",
  journal =      "Acta Mathematica Universitatis Comenianae (Comenius
                 University Czechoslovakia)",
  volume =       "54/55",
  year =         "1989",
  pages =        "243--266",
}

@Article{int:Hamilton1,
  author =       "B. C. Hamilton and D. E. Stein",
  title =        "{AT~\&~T's KORBX System~: Solving} the unsolvable",
  journal =      "AT~\&~T Technology",
  volume =       "4",
  number =       "3",
  year =         "1989",
  pages =        "36--41",
}

@TechReport{int:Han1,
  author =       "C. G. Han and P. M. Pardalos and Y. Ye",
  title =        "Interior point approaches to nonconvex programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Computer Science Department, The Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@InCollection{int:Han2,
  author =       "C. G. Han and P. M. Pardalos and Y. Ye",
  title =        "Computational aspect of an interior point algorithm
                 for quadratic programming problems with box
                 constraints",
  booktitle =    "Large--Scale Numerical Optimization, Papers from the
                 Workshop held at Cornell University, Ithaca, NY, USA,
                 October 1989",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  year =         "1990",
  pages =        "92--112",
  editor =       "T. F. Coleman and Y. Li",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@TechReport{int:Han3,
  author =       "C. G. Han and P. M. Pardalos and Y. Ye",
  title =        "On potential reduction algorithms for some entropy
                 optimization problems",
  type =         "{Technical Report}",
  number =       "CS--91--02",
  year =         "1991",
  institution =  "Computer Science Department, The Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@TechReport{int:Han4,
  author =       "C. G. Han and P. M. Pardalos and Y. Ye",
  title =        "Solving some engineering problems using an
                 interior--point algorithm",
  type =         "{Technical Report}",
  number =       "CS--91--04",
  year =         "1991",
  institution =  "Computer Science Department, The Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@Article{int:Harker1,
  author =       "P. T. Harker and B. Xiao",
  title =        "A polynomial--time algorithm for affine variational
                 inequalities",
  journal =      "Applied Mathematics Letters",
  volume =       "4",
  number =       "2",
  year =         "1991",
  pages =        "31--34",
}

@TechReport{int:Haverly1,
  author =       "C. A. Haverly",
  title =        "Behavior of the simplex and {K}armarkar algorithms",
  type =         "{Talk held at the 12th Symposium on Mathematical
                 Programming in Cambridge, MA, USA}",
  year =         "1985",
  institution =  "Haverly Systems Inc.",
  address =      "Denville, NJ~07834, USA",
}

@TechReport{int:Haverly2,
  author =       "C. A. Haverly",
  title =        "Studies on behavior of the {K}armarkar method",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Haverly Systems Inc.",
  address =      "Denville, NJ~07834, USA",
}

@TechReport{int:Haverly3,
  author =       "C. A. Haverly",
  title =        "Results of a new series of case runs using
                 {K}armarkar's algorithm",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Haverly Systems Inc.",
  address =      "Denville, NJ~07834, USA",
}

@TechReport{int:Heindl1,
  author =       "G. Heindl",
  title =        "{Eine Implementierung des Karmarkar Verfahrens~(An
                 implementation of Karmarkar's algorithm)}",
  type =         "{Interner Bericht der intergrierten Arbeitsgruppe
                 Mathematische Probleme aus dem Ingenieurbereich}",
  year =         "1985",
  month =        feb,
  institution =  "Fachbereich Mathematik, Gesamthochschule Wuppertal",
  address =      "D--5600~Wuppertal~1, West--Germany",
  note =         "(In German)",
}

@TechReport{int:Hemmer1,
  author =       "G. M. Hemmer",
  title =        "Computational issues in the interior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Mathematics, Northwestern Illinois
                 University",
  address =      "Chicago, IL~60625, USA",
}

@TechReport{int:Hernandez1,
  author =       "S. Hernandez and J. Mata and J. Doria",
  title =        "Optimization of large structural systems by using
                 {Karmarkar's} method",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "University of Zaragoza",
  address =      "Zaragoza, Spain",
}

@TechReport{int:Herskovits1,
  author =       "J. Herskovits and J. Asquier",
  title =        "A quasi--{N}ewton interior point algorithm for
                 nonlinear constrained optimization",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Center of Technology, COPPE Federal University of Rio
                 de Janeiro",
  address =      "21941 Rio de Janeiro, Brazil",
}

@MastersThesis{int:Hertog1,
  author =       "{D. den} Hertog",
  title =        "Interior point methods for linear programming",
  year =         "1989",
  month =        may,
  school =       "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@Article{int:Hertog2,
  author =       "{D. den} Hertog and C. Roos",
  title =        "A survey of search directions in interior point
                 methods for linear programming",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "481--509",
}

@TechReport{int:Hertog3,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "A potential reduction method for a class of smooth
                 convex programming problems",
  type =         "{Technical Report}",
  number =       "90--01",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
  note =         "Rewritten in den Hertog et al.\ \cite{int:Hertog12}",
}

@Article{int:Hertog4,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "On the classical logarithmic barrier function method
                 for a class of smooth convex programming problems",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "73",
  year =         "1992",
  pages =        "1--25",
}

@TechReport{int:Hertog5,
  author =       "{D. den} Hertog and C. Roos and J. P. Vial",
  title =        "An ${O(n^{0.5}L)}$ complexity reduction for long step
                 path following methods for linear programming",
  type =         "Revised version of {Technical Report}",
  number =       "89--85",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
  note =         "Rewritten in den Hertog et al.\ \cite{int:Hertog10}",
}

@Article{int:Hertog6,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "A potential reduction variant of {R}enegar's
                 short--step path--following method for linear
                 programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "43--68",
}

@TechReport{int:Hertog7,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "Inverse barrier methods for linear programming",
  type =         "{Technical Report}",
  number =       "91--27",
  year =         "1991",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@Article{int:Hertog8,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "A polynomial method of weighted centers for convex
                 quadratic programming",
  journal =      "Journal of Information \& Optimization Sciences",
  volume =       "12",
  number =       "2",
  year =         "1991",
  pages =        "187--205",
}

@Article{int:Hertog9,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "A build--up variant of the path--following method for
                 {LP}",
  journal =      "Operations Research Letters",
  volume =       "12",
  year =         "1992",
  pages =        "181--186",
}

@Article{int:Hertog10,
  author =       "{D. den} Hertog and C. Roos and J. P. Vial",
  title =        "A complexity reduction for the long--step
                 path--following algorithm for linear programming",
  journal =      "SIAM Journal on Optimization",
  volume =       "2",
  year =         "1992",
  pages =        "71--87",
}

@TechReport{int:Hertog11,
  author =       "{D. den} Hertog and C. Roos and J. P. Vial",
  title =        "Polynomial--time long--steps algorithms for linear
                 programming based on the use of the logarithmic barrier
                 function",
  type =         "{Unpublished Manuscript}",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
  note =         "Talk given by C. Roos at the Conference on Progress in
                 Mathematical Programming in Asilomar, CA, USA, February
                 1990",
}

@Article{int:Hertog12,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "A large--step analytic center method for a class of
                 smooth convex programming problems",
  journal =      "SIAM Journal on Optimization",
  volume =       "2",
  year =         "1992",
  pages =        "55--70",
}

@TechReport{int:Hertog13,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "Adding and deleting constraints in a path--following
                 method for linear programming",
  type =         "{SHELL Report}",
  number =       "AMR.92.001",
  year =         "1992",
  institution =  "Koninklijke Shell Laboratorium Amsterdam (KSLA)",
  address =      "Amsterdam, The Netherlands",
}

@Article{int:Hertog14,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "On the monotonicity of the dual objective along
                 barrier paths",
  journal =      "COAL Bulletin",
  volume =       "20",
  year =         "1992",
  pages =        "2--8",
}

@TechReport{int:Hertog15,
  author =       "{D. den} Hertog and C. Roos and T. Terlaky",
  title =        "Iri's polynomiality proof for the {Iri--Imai} method
                 recast",
  type =         "{Technical Report}",
  number =       "91--74",
  year =         "1991",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@PhdThesis{int:Hertog16,
  author =       "{D. den} Hertog",
  title =        "{Interior Point Approach to Linear, Quadratic and
                 Convex Programming, Algorithms and Complexity}",
  year =         "1992",
  month =        sep,
  school =       "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Hertog17,
  author =       "{D. den} Hertog and F. Jarre and C. Roos and T.
                 Terlaky",
  title =        "A unifying investigation of interior--point methods
                 for convex programming",
  type =         "{Technical Report}",
  number =       "92--89",
  year =         "1992",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Hertog18,
  author =       "{D. den} Hertog and J. A. Kaliski and C. Roos and T.
                 Terlaky",
  title =        "A note on central cutting plane methods for convex
                 programming",
  type =         "{Technical Report}",
  number =       "93--44",
  year =         "1993",
  month =        apr,
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Hertog19,
  author =       "{D. den} Hertog and J. A. Kaliski and C. Roos and T.
                 Terlaky",
  title =        "A path--following cutting plane method for convex
                 programming",
  type =         "{Technical Report}",
  number =       "93--43",
  year =         "1993",
  month =        apr,
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@Article{int:Herzel1,
  author =       "S. Herzel and M. C. Recchioni and F. Zirilli",
  title =        "A quadratically convergent method for linear
                 programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "255--289",
}

@Article{int:Hettich1,
  author =       "R. Hettich and G. Margraff",
  title =        "Some experiments with {K}armarkar's algorithm",
  journal =      "Optimization",
  volume =       "19",
  year =         "1988",
  pages =        "653--664",
}

@Article{int:Hettich2,
  author =       "R. Hettich and M. Ries",
  title =        "A modified scaling algorithm for {LP}",
  journal =      "Optimization",
  volume =       "21",
  year =         "1990",
  pages =        "709--721",
}

@InBook{int:Hillier1,
  author =       "F. S. Hillier and G. J. Lieberman",
  title =        "Introduction to Operations Research",
  chapter =      "4.9~: {N}ew developments, pages 100--104,
                 chapter~9.4~: {A}n interior--point algorithm",
  year =         "1990",
  pages =        "312--323",
  publisher =    "McGraw--Hill",
  edition =      "fifth",
}

@TechReport{int:Hipolito1,
  author =       "A. Hipolito",
  title =        "A long step inverse barrier hybrid algorithm for
                 linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Industrial and Systems Engineering,
                 University of Florida",
  address =      "Gainesville, FL~32611, USA",
  note =         "See Hipolito \cite{int:Hipolito2}",
}

@TechReport{int:Hipolito2,
  author =       "A. Hipolito",
  title =        "A long step linear programming algorithm based on
                 quasi--{Newton} inverse barrier centering",
  type =         "{Research Report}",
  number =       "91--12",
  year =         "1991",
  month =        oct,
  institution =  "Dept.\ of Industrial and Systems Engineering,
                 University of Florida",
  address =      "Gainesville, FL~32611, USA",
}

@TechReport{int:Ho1,
  author =       "J. K. Ho",
  title =        "Linear programming with spreadsheet macros",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Management Science Program, University of Tennessee",
  address =      "615--SMC, Knoxville, TN~37996--0562, USA",
}

@Article{int:Hoffmann1,
  author =       "A. J. Hoffmann and M. Mannos and D. Sokolowsky and N.
                 Wiegmann",
  title =        "Computational experience in solving linear programs",
  journal =      "Journal of the Society for Industrial and Applied
                 Mathematics (SIAM)",
  volume =       "1",
  year =         "1953",
  pages =        "17--33",
}

@MastersThesis{int:Honig1,
  author =       "R. Honig and G. I. Balistreri",
  title =        "Implementation of the {K}armarkar algorithm on a
                 transputer network",
  year =         "1989",
  month =        oct,
  school =       "Faculty of Electrical Engineering, Delft University of
                 Technology",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@Article{int:Hooker1,
  author =       "J. N. Hooker",
  title =        "Karmarkar's linear programming algorithm",
  journal =      "Interfaces",
  volume =       "16",
  number =       "4",
  year =         "1986",
  pages =        "75--90",
  note =         "Errata in {\em Interfaces}, 17(1):128, 1987",
}

@TechReport{int:Houck1,
  author =       "D. Houck",
  title =        "Introduction to the {AT~\&~T~KORBX System}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Housos1,
  author =       "E. C. Housos and C. C. Huang and J. M. Liu",
  title =        "Parallel vector computational considerations on the
                 {AT~\&~T~KORBX System}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Housos2,
  author =       "E. C. Housos and C. C. Huang and J. M. Liu",
  title =        "Parallel algorithms for the {AT~\&~T~KORBX System}",
  journal =      "AT~\&~T~Technical Journal",
  volume =       "68",
  year =         "1989",
  pages =        "37--47",
}

@Misc{int:Hu1,
  author =       "T. C. Hu",
  title =        "Linear programming algorithms and computational
                 results",
  year =         "1987",
  address =      "Dept.\ of Computer Science, University of California,
                 La Jolla, CA 92093, USA",
  note =         "Panel--Discussion at the ORSA/TIMS Joint National
                 Meeting in St.~Louis, October 1987",
}

@TechReport{int:Huang1,
  author =       "S. Huang",
  title =        "A primal--dual algorithm for linear programming",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Huang2,
  author =       "S. Huang and K. O. Kortanek",
  title =        "A simultaneous primal-- and dual--potential reduction
                 algorithm for linear programming",
  type =         "{Working Paper Series}",
  number =       "89--2",
  year =         "1989",
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Huang3,
  author =       "S. Huang and K. O. Kortanek",
  title =        "A large--step simultaneous primal--dual potential
                 reduction algorithm for {LP}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@Article{int:Huang4,
  author =       "S. Huang and K. O. Kortanek",
  title =        "A note on a potential reduction algorithm for {LP}
                 with simultaneous primal--dual updating",
  journal =      "Operations Research Letters",
  volume =       "10",
  year =         "1991",
  pages =        "501--507",
}

@TechReport{int:Huang5,
  author =       "S. Huang and J. Ji and F. Potra",
  title =        "A superlinearity convergent {$O(\sqrt{n}
                 L)$}--iteration predictor--corrector algorithm for
                 linear complementarity problems",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Huang6,
  author =       "S. Huang and Y. Ye",
  title =        "On the average number of iterations of the polynomial
                 interior--point algorithms for linear programming",
  type =         "{Working Paper Series}",
  number =       "91--16",
  year =         "1991",
  institution =  "Dept.\ of Management Sciences, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@InCollection{int:Huard1,
  author =       "P. Huard",
  title =        "Resolution of mathematical programming with nonlinear
                 constraints by the method of centers",
  booktitle =    "Nonlinear Programming",
  editor =       "J. Abadie",
  year =         "1967",
  pages =        "207--219",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@InCollection{int:Huard2,
  author =       "P. Huard",
  title =        "A method of centers by upper--bounding functions with
                 applications",
  booktitle =    "Nonlinear Programming~: Proceedings of a Symposium
                 held at the University of Wisconsin, Madison,
                 Wisconsin, USA, May 1970",
  editor =       "J. B. Rosen and O. L. Mangasarian and K. Ritter",
  year =         "1970",
  pages =        "1--30",
  publisher =    "Academic Press",
  address =      "New York, USA",
}

@Article{int:Huard3,
  author =       "P. Huard and B. T. Lieu",
  title =        "La methode des centres dans un espace topologique",
  journal =      "Numerische Mathematik",
  volume =       "8",
  year =         "1968",
  pages =        "56--67",
  note =         "(In French)",
}

@Article{int:Hurd1,
  author =       "J. K. Hurd and F. H. Murphy",
  title =        "Exploiting special structure in primal dual interior
                 point methods",
  journal =      "ORSA Journal on Computing",
  volume =       "4",
  year =         "1992",
  pages =        "38--44",
}

@TechReport{int:Ikura1,
  author =       "Y. Ikura and D. Stein",
  title =        "Computational experience with a {K}armarkar--based
                 approach to solve multi--period, multi--refinery
                 production models",
  type =         "{Talk held at the 12th Triennial Conference on
                 Operations Research in Athens, Greece}",
  year =         "1990",
  month =        jun,
  institution =  "AT~\&~T~Bell Laboratories",
}

@Article{int:Imai1,
  author =       "H. Imai",
  title =        "Extensions of the multiplicative penalty function for
                 linear programming",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "30",
  year =         "1987",
  pages =        "160--180",
}

@Article{int:Imai2,
  author =       "H. Imai",
  title =        "On the convexity of the multiplicative version of
                 {K}armarkar's potential function",
  journal =      "Mathematical Programming",
  volume =       "40",
  year =         "1988",
  pages =        "29--32",
}

@Article{int:Imai3,
  author =       "H. Imai",
  title =        "Recent trends in linear programming",
  journal =      "Journal of the Institute of Electronics, Information
                 and Communication Engineers (Japan)",
  volume =       "72",
  number =       "10",
  year =         "1989",
  pages =        "1053--1058",
  note =         "(In Japanese)",
}

@Article{int:Imai4,
  author =       "H. Imai",
  title =        "On the polynomiality of the multiplicative penalty
                 function method for linear programming and related
                 inscribed ellipsoids",
  journal =      "Transactions of the Institute of Electronics,
                 Information and Communication Engineers (Japan)",
  volume =       "E74",
  number =       "4",
  year =         "1991",
  month =        apr,
  pages =        "669--671",
}

@TechReport{int:Iri1,
  author =       "M. Iri",
  title =        "Another 'simple and fast' algorithm for linear
                 programming",
  type =         "{Talk held at the 12th Symposium on Mathematical
                 Programming in Cambridge, MA, USA}",
  year =         "1985",
  institution =  "Dept.\ of Mathematical Engineering and Instrumentation
                 Physics, University of Tokyo",
  address =      "Tokyo, Japan",
}

@Article{int:Iri2,
  author =       "M. Iri",
  title =        "Integrability of vector and polyvector fields
                 associated with interior point methods",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "511--525",
}

@Article{int:Iri3,
  author =       "M. Iri and H. Imai",
  title =        "A multiplicative penalty function for linear
                 programming-- another ''new and fast'' algorithm",
  journal =      "Proceedings of the 6th Mathematical Programming
                 Symposium of Japan, Tokyo, Japan",
  year =         "1985",
  pages =        "97--120",
}

@Article{int:Iri4,
  author =       "M. Iri and H. Imai",
  title =        "A multiplicative barrier function method for linear
                 programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "455--482",
}

@InCollection{int:Iri5,
  author =       "M. Iri and H. Imai",
  title =        "Theory of the multiplicative penalty function method
                 for linear programming",
  booktitle =    "Discrete Algorithms and Complexity~: Proceedings of
                 the Japan--US Joint Seminar, Kyoto, Japan, June 1986",
  editor =       "D. S. Johnson and T. Nishizeki and A. Nozaki and H. S.
                 Wilf",
  year =         "1987",
  pages =        "417--435",
  publisher =    "Academic Press",
  address =      "New York",
}

@TechReport{int:Iri6,
  author =       "M. Iri",
  title =        "A proof of the polynomiality of the {Iri--Imai} method
                 for linear programming",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Engineering and Instrumentation
                 Physics, University of Tokyo",
  address =      "Tokyo, Japan",
}

@TechReport{int:Ishihara1,
  author =       "T. Ishihara and M. Kojima",
  title =        "On the {\em big M} in the affine scaling algorithm",
  type =         "Research Reports on Information Sciences, Ser.~B~:
                 Operations Research",
  number =       "B--255",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
}

@Article{int:Jamsek1,
  author =       "J. Jam{\u{s}}ek",
  title =        "Karmarkar's algorithm for linear programming",
  journal =      "Obzornik za Matematiko in Fiziko",
  volume =       "38",
  number =       "6",
  year =         "1991",
  pages =        "161--169",
  note =         "(In Slovenian, English summary)",
}

@TechReport{int:Jan1,
  author =       "G. M. Jan and S. C. Fang",
  title =        "A variant of affine--scaling method for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "North Carolina State University",
  address =      "Raleigh, NC~27695-7913, USA",
  note =         "See Jan \cite{int:Jan3}, and Jan and Fang
                 \cite{int:Jan2}",
}

@Article{int:Jan2,
  author =       "G. M. Jan and S. C. Fang",
  title =        "A new variant of the primal affine scaling method for
                 linear programs",
  journal =      "Optimization",
  volume =       "22",
  number =       "5",
  year =         "1991",
  pages =        "681--715",
}

@PhdThesis{int:Jan3,
  author =       "G. M. Jan",
  title =        "A new variant of the primal affine scaling algorithm
                 for linear programs",
  year =         "1990",
  month =        jul,
  school =       "Dept.\ of Operations Research, North Carolina State
                 University",
  address =      "Raleigh, NC~27695-7913, USA",
}

@Article{int:Janacek1,
  author =       "J. Janacek",
  title =        "{Perspektivy Karmarkarova algorithmu v linearnim
                 programovani (Perspectives of Karmarkar's algorithm in
                 linear programming)}",
  journal =      "Ekonomicko--Matematicky Obzor (Czechoslovakia)",
  volume =       "25",
  number =       "1",
  year =         "1989",
  pages =        "50--63",
  note =         "(In Czech)",
}

@TechReport{int:Jansen1,
  author =       "B. Jansen and C. Roos and T. Terlaky",
  title =        "An interior point approach to postoptimal and
                 parametric analysis in linear programming",
  type =         "{Technical Report}",
  number =       "92--21",
  year =         "1992",
  month =        apr,
  institution =  "Faculty of Technical Mathematics and Informatics, TU
                 Delft",
  address =      "NL--2628~CD~Delft, The Netherlands",
}

@TechReport{int:Jansen2,
  author =       "B. Jansen and C. Roos and T. Terlaky and J. P. Vial",
  title =        "Interior--point methodology for linear
                 programming\,:\, {Duality}, sensitivity analysis and
                 computational aspects",
  type =         "{Technical Report}",
  number =       "93--28",
  year =         "1993",
  month =        apr,
  institution =  "Faculty of Technical Mathematics and Informatics, TU
                 Delft",
  address =      "NL--2600~GA~Delft, The Netherlands",
}

@TechReport{int:Jansen3,
  author =       "B. Jansen and C. Roos and T. Terlaky and J. P. Vial",
  title =        "Primal--dual algorithms for linear programming based
                 on the logarithmic barrier method",
  type =         "{Technical Report}",
  number =       "92--104",
  year =         "1992",
  institution =  "Faculty of Technical Mathematics and Informatics, TU
                 Delft",
  address =      "NL--2600~GA~Delft, The Netherlands",
}

@TechReport{int:Jansen4,
  author =       "B. Jansen and C. Roos and T. Terlaky",
  title =        "The theory of linear programming\,:\,{Skew} symmetric
                 self--dual problems and the central path",
  type =         "{Technical Report}",
  number =       "93--15",
  year =         "1993",
  institution =  "Faculty of Technical Mathematics and Informatics, TU
                 Delft",
  address =      "NL--2600~GA~Delft, The Netherlands",
}

@InCollection{int:Jansen5,
  author =       "B. Jansen and C. Roos and T. Terlaky",
  title =        "On {Vaidya's} volumetric center method for convex
                 programming",
  booktitle =    "Symposium on Applied Mathematical Programming and
                 Modeling (APMOD '93), Budapest, Hungary, January 1993,
                 Volume of Extended Abstracts",
  editor =       "I. Maros",
  year =         "1992",
  month =        dec,
  pages =        "289--295",
  publisher =    "Computer and Automation Institute, Hungarian Academy
                 of Sciences",
  address =      "Budapest, Hungary",
}

@TechReport{int:Jansen6,
  author =       "B. Jansen",
  title =        "An introduction to interior point algorithms for
                 linear and convex quadratic programming",
  type =         "{Technical Report}",
  number =       "9276/A",
  year =         "1992",
  institution =  "Economic Institute, Erasmus University Rotterdam",
  address =      "Rotterdam, The Netherlands",
}

@TechReport{int:Jansen7,
  author =       "B. Jansen and C. Roos and T. Terlaky",
  title =        "A polynomial primal--dual {Dikin}--type algorithm for
                 linear programming",
  type =         "{Technical Report}",
  number =       "93--36",
  year =         "1993",
  month =        may,
  institution =  "Faculty of Technical Mathematics and Informatics, TU
                 Delft",
  address =      "NL--2600~GA~Delft, The Netherlands",
}

@Article{int:Jarre1,
  author =       "F. Jarre",
  title =        "On the convergence of the method of analytic centers
                 when applied to convex quadratic programs",
  journal =      "Mathematical Programming",
  volume =       "49",
  year =         "1990/91",
  pages =        "341--358",
}

@TechReport{int:Jarre2,
  author =       "F. Jarre",
  title =        "The method of analytic centers for smooth convex
                 programs",
  type =         "Preprint",
  number =       "165",
  year =         "1989",
  month =        feb,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
  note =         "See also Jarre \cite{int:Jarre7}",
}

@InCollection{int:Jarre3,
  author =       "F. Jarre",
  title =        "On the method of analytic centers for solving smooth
                 convex programs",
  booktitle =    "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  editor =       "S. Dolecki",
  year =         "1989",
  pages =        "69--86",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@TechReport{int:Jarre4,
  author =       "F. Jarre",
  title =        "A homotopy method for convex programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
}

@InCollection{int:Jarre5,
  author =       "F. Jarre and G. Sonnevend and J. Stoer",
  title =        "An implementation of the method of analytic centers",
  booktitle =    "Analysis and Optimization of Systems",
  editor =       "A. Bensoussan and J. L. Lions",
  year =         "1988",
  pages =        "297--308",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "111",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@TechReport{int:Jarre6,
  author =       "F. Jarre",
  title =        "Convergence of the method of analytic centers for
                 generalized convex programs",
  type =         "DFG--Report",
  number =       "67",
  year =         "1988",
  month =        may,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
  note =         "Revised October 1988. The revised version is identical
                 to Jarre \cite{int:Jarre3}",
}

@PhdThesis{int:Jarre7,
  author =       "F. Jarre",
  title =        "The method of analytic centers for smooth convex
                 programs",
  year =         "1989",
  school =       "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
}

@TechReport{int:Jarre8,
  author =       "F. Jarre",
  title =        "Interior--point methods for convex programming",
  type =         "{Technical Report}",
  number =       "SOL~90--16",
  year =         "1990",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
  note =         "To appear in {\em Applied Mathematics \&
                 Optimization}",
}

@InCollection{int:Jarre9,
  author =       "F. Jarre and G. Sonnevend and J. Stoer",
  title =        "On the complexity of a numerical algorithm for solving
                 generalized convex quadratic programs by following a
                 central path",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "233--242",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Jarre10,
  author =       "F. Jarre and M. A. Saunders",
  title =        "An adaptive primal--dual method for linear
                 programming",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "7--16",
}

@TechReport{int:Jarre11,
  author =       "F. Jarre",
  title =        "An interior--point method for minimizing the largest
                 eigenvalue of a linear combination of matrices",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
  note =         "Also published as Technical Report SOL~91--8, Systems
                 Optimization Laboratory, Dept.\ of Operations Research,
                 Stanford University, CA~94305, USA, 1991. To appear in
                 {\em SIAM Journal on Control and Optimization}",
}

@TechReport{int:Jarre12,
  author =       "F. Jarre and M. A. Saunders",
  title =        "Practical aspects of an interior--point method for
                 convex programming",
  type =         "{Technical Report}",
  number =       "SOL~91--9",
  year =         "1991",
  month =        jul,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
  note =         "Submitted to {\em SIAM Journal on Optimization}",
}

@TechReport{int:Jarre13,
  author =       "F. Jarre",
  title =        "An efficient line search for logarithmic barrier
                 functions",
  type =         "{Technical Report}",
  number =       "188",
  year =         "1992",
  month =        may,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
}

@TechReport{int:Jarre14,
  author =       "F. Jarre",
  title =        "On the convergence of the method of analytic centers
                 when applied to convex quadratic programs",
  type =         "{DFG--Report}",
  number =       "35",
  year =         "1987",
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
  note =         "Preliminary version of Jarre \cite{int:Jarre1}",
}

@Article{int:Jarre15,
  author =       "F. Jarre",
  title =        "Interior--point methods for convex programming",
  journal =      "Applied Mathematics \& Optimization",
  volume =       "26",
  year =         "1992",
  pages =        "287--311",
}

@TechReport{int:Jarre16,
  author =       "F. Jarre",
  title =        "Optimal ellipsoidal approximations around the analytic
                 center",
  type =         "{Technical Report}",
  number =       "193",
  year =         "1993",
  month =        jan,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
}

@InCollection{int:Jarre17,
  author =       "F. Jarre",
  title =        "An efficient line--search for logarithmic barrier
                 functions",
  booktitle =    "Symposium on Applied Mathematical Programming and
                 Modeling (APMOD '93), Budapest, Hungary, January 1993,
                 Volume of Extended Abstracts",
  editor =       "I. Maros",
  year =         "1992",
  month =        dec,
  pages =        "296--303",
  publisher =    "Computer and Automation Institute, Hungarian Academy
                 of Sciences",
  address =      "Budapest, Hungary",
}

@TechReport{int:Jarre18,
  author =       "F. Jarre and S. Mizuno",
  title =        "An infeasible--interior--point algorithm using
                 projections onto a convex set",
  type =         "{Technical Report}",
  number =       "206",
  year =         "1993",
  month =        aug,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
}

@TechReport{int:Jensen1,
  author =       "D. L. Jensen and A. E. Steger",
  title =        "A variation of {K}armarkar's algorithm to solve linear
                 programs in standard form",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Los Angeles, CA, USA}",
  year =         "1986",
  month =        apr,
  institution =  "State University of New York",
  address =      "Stony Brook, NY~11794, USA",
  note =         "See Steger \cite{int:Steger1}",
}

@TechReport{int:Jensen2,
  author =       "D. L. Jensen and R. Polyak and R. R. Schneur",
  title =        "Numerical experience with the modified barrier
                 functions method for linear--constrained optimization
                 problems",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
  note =         "See Polyak \cite{int:Polyak3}",
}

@TechReport{int:Jensen3,
  author =       "D. L. Jensen and R. Polyak",
  title =        "Decomposition in {LP} based on modified barrier
                 function",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Ji1,
  author =       "J. Ji and F. Potra and R. A. Tapia and Y. Zhang",
  title =        "An interior--point method with polynomial complexity
                 and superlinear convergence for linear complementarity
                 problems",
  type =         "{Technical Report}",
  number =       "TR--91--23",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Ji2,
  author =       "J. Ji and F. Potra",
  title =        "An interior--point algorithm for quadratically
                 constrained entropy minimization problems",
  type =         "{Reports on Computational Mathematics}",
  number =       "19",
  year =         "1991",
  month =        aug,
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ji3,
  author =       "J. Ji and Y. Ye",
  title =        "Complexity analysis of {Karmarkar's} algorithm",
  type =         "{Working Paper}",
  number =       "90--5",
  year =         "1990",
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ji4,
  author =       "J. Ji and F. Potra and S. Huang",
  title =        "A predictor--corrector method for linear
                 complementarity problems with polynomial complexity and
                 superlinear convergence",
  type =         "{Reports on Computational Mathematics}",
  number =       "18",
  year =         "1991",
  month =        aug,
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ji5,
  author =       "J. Ji and F. Potra",
  title =        "On the average complexity of finding an
                 {$\varepsilon$}--optimal solution for linear
                 programming",
  type =         "{Reports on Computational Mathematics}",
  number =       "25",
  year =         "1992",
  month =        mar,
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Joshi1,
  author =       "A. Joshi and A. Goldstein and P. Vaidya",
  title =        "A fast implementation of a path--following algorithm
                 for maximizing a linear function over a network
                 polytope",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Dept.\ of Computer Science, University of Illinois",
  address =      "Urbana, IL, USA",
}

@TechReport{int:Jung1,
  author =       "H. W. Jung and R. E. Marsten and M. J. Saltzman",
  title =        "The column {C}holesky method for numerical
                 factorization in interior point algorithms",
  type =         "{Technical Report}",
  number =       "596",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences,Clemson University",
  address =      "Clemson, SC~29634--1907, USA",
  note =         "This is subsumed by Jung et al.\ \cite{int:Jung2}",
}

@Article{int:Jung2,
  author =       "H. W. Jung and R. E. Marsten and M. J. Saltzman",
  title =        "Numerical factorization methods for interior point
                 algorithms",
  journal =      "ORSA Journal on Computing",
  volume =       "4",
  year =         "1992",
}

@TechReport{int:Jung3,
  author =       "H. W. Jung and M. J. Saltzman",
  title =        "The multifrontal method for numerical factorization in
                 interior point algorithms",
  type =         "{Technical Report}",
  number =       "597",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Clemson University",
  address =      "Clemson, SC~29634--1907, USA",
  note =         "This is subsumed by Jung et al.\ \cite{int:Jung2}",
}

@TechReport{int:Kaeschel1,
  author =       "J. K{\"a}schel",
  title =        "Karmarkar--{\"a}hnliche {Verfahren in der Linearen
                 Optimierung (Karmarkar--type procedures in linear
                 programming)}",
  type =         "{Talk held at the DGOR--Jahrestagung in
                 Stuttgart--Hohenheim, West--Germany}",
  year =         "1991",
  month =        sep,
  institution =  "Sektion Wirtschaftswissenschaften, TU Chemnitz",
  address =      "P.~O.~Box~964, D--9010~Chemnitz, East--Germany",
}

@Article{int:Kaeschel2,
  author =       "J. K{\"a}schel",
  title =        "{'' An efficient algorithm for linear programming ''
                 of V. Ch. Venkaiah}",
  journal =      "Proceedings of the Indian Academy of Sciences,
                 Mathematical Sciences",
  volume =       "102",
  number =       "2",
  year =         "1992",
  pages =        "155--158",
  note =         "See also Venkaiah\,\cite{int:Venkaiah1}",
}

@Article{int:Kalantari1,
  author =       "B. Kalantari",
  title =        "Karmarkar's algorithm with improved steps",
  journal =      "Mathematical Programming",
  volume =       "46",
  year =         "1990",
  pages =        "73--78",
}

@TechReport{int:Kalantari2,
  author =       "B. Kalantari",
  title =        "Derivation of a generalized and strenghtened {Gordan
                 Theorem} from generalized {K}armarkar potential and
                 logarithmic barrier functions",
  type =         "{Technical Report}",
  number =       "LCSR--TR--121",
  year =         "1989",
  institution =  "Laboratory for Computer Science Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@InCollection{int:Kalantari3,
  author =       "B. Kalantari",
  title =        "Canonical problems for quadratic programming and
                 projective methods for their solution",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "243--263",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Kalantari4,
  author =       "B. Kalantari",
  title =        "Solving linear programming by bisection and a
                 projective feasibility algorithm",
  type =         "{Technical Report}",
  number =       "LCSR--TR--91",
  year =         "1987",
  institution =  "Laboratory for Computer Science Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@Article{int:Kalantari5,
  author =       "B. Kalantari",
  title =        "Generalization of {Karmarkar's} algorithm to convex
                 homogeneous functions",
  journal =      "Operations Research Letters",
  volume =       "11",
  year =         "1992",
  pages =        "93--98",
}

@TechReport{int:Kaliski1,
  author =       "J. A. Kaliski and Y. Ye",
  title =        "A decomposition variant of the potential reduction
                 algorithm for linear programming",
  type =         "{Working Paper}",
  number =       "91--11",
  year =         "1991",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@Article{int:Kaliski2,
  author =       "J. A. Kaliski and Y. Ye",
  title =        "Convergence behavior of {K}armarkar's projective
                 algorithm for solving a simple linear program",
  journal =      "Operations Research Letters",
  volume =       "10",
  year =         "1991",
  pages =        "389--393",
}

@TechReport{int:Kaliski3,
  author =       "J. A. Kaliski and Y. Ye",
  title =        "An extension of the potential reduction algorithm for
                 solving the linear complentary problem with priority
                 goals",
  type =         "{Manuscript}",
  year =         "1990",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@PhdThesis{int:Kaliski4,
  author =       "J. A. Kaliski",
  title =        "A decomposition variant for large scale linear
                 programming",
  year =         "1992",
  month =        may,
  school =       "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Kallio1,
  author =       "M. Kallio",
  title =        "On gradient projection for linear programming",
  type =         "Manuscript",
  year =         "1986",
  institution =  "School of Organization and Management, Yale
                 University",
  address =      "New Haven, CT~06520, USA",
}

@Article{int:Kallio2,
  author =       "M. Kallio and E. L. Porteus",
  title =        "A class of methods for linear programming",
  journal =      "Mathematical Programming",
  volume =       "14",
  year =         "1978",
  pages =        "161--176",
}

@Article{int:Kamath1,
  author =       "A. P. Kamath and N. K. Karmarkar and K. G.
                 Ramakrishnan and M. G. C. Resende",
  title =        "Computational experience with an interior point
                 algorithm on the satisfiability problem",
  journal =      "Annals of Operations Research",
  volume =       "25",
  year =         "1990",
  pages =        "43--58",
}

@InCollection{int:Kamath2,
  author =       "A. Kamath and N. K. Karmarkar",
  title =        "Continuous approach to compute upper bounds in
                 quadratic maximization problems with integer
                 constraints",
  booktitle =    "Recent Advances in Global Optimization",
  editor =       "C. A. Floudas and P. M. Pardalos",
  year =         "1992",
  pages =        "125--140",
  series =       "Princeton Series in Computer Science",
  publisher =    "Princeton University Press",
  address =      "Princeton, NJ, USA",
}

@Article{int:Kamath3,
  author =       "A. P. Kamath and N. K. Karmarkar",
  title =        "A continuous method for computing bounds in integer
                 quadratic optimization problems",
  journal =      "Journal of Global Optimization",
  volume =       "2",
  number =       "3",
  year =         "1992",
  pages =        "229--241",
}

@Article{int:Kamath4,
  author =       "A. P. Kamath and N. K. Karmarkar and K. G.
                 Ramakrishnan and M. G. C. Resende",
  title =        "A continuous approach to inductive inference",
  journal =      "Mathematical Programming",
  volume =       "57",
  year =         "1992",
  pages =        "215--238",
}

@Book{int:Kannan1,
  author =       "R. Kannan and W. R. Pulleyblank",
  title =        "Integer Programming and Combinatorial Optimization",
  year =         "1990",
  publisher =    "University of Waterloo Press",
  address =      "Waterloo, Ontario, Canada",
}

@Article{int:Kapoor1,
  author =       "S. Kapoor and P. M. Vaidya",
  title =        "Fast algorithms for convex quadratic programming and
                 multicommodity flows",
  journal =      "Proceedings of the 18th Annual ACM Symposium on Theory
                 of Computing",
  year =         "1986",
  pages =        "147--159",
}

@TechReport{int:Kapoor2,
  author =       "S. Kapoor and P. M. Vaidya",
  title =        "An extension of {K}armarkar's interior point method to
                 convex quadratic programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Dept.\ of Computer Science, University of Illinois at
                 Urbana--Champaign",
  address =      "Urbana, IL~61820, USA",
}

@TechReport{int:Kapoor3,
  author =       "S. Kapoor and P. M. Vaidya",
  title =        "Speeding--up {K}armarkar's algorithm for
                 multicommodity flows",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Dept.\ of Computer Science, University of Illinois at
                 Urbana--Champaign",
  address =      "Urbana, IL~61820, USA",
  note =         "To appear in {\em Mathematical Programming}",
}

@InBook{int:Karloff1,
  author =       "H. Karloff",
  title =        "Linear Programming",
  chapter =      "5\ :\ {Karmarkar's} algorithm",
  year =         "1991",
  pages =        "103--130",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
}

@Article{int:Karmarkar1,
  author =       "N. K. Karmarkar",
  title =        "A new polynomial--time algorithm for linear
                 programming",
  journal =      "Proceedings of the 16th Annual ACM Symposium on Theory
                 of Computing",
  year =         "1984",
  pages =        "302--311",
}

@Article{int:Karmarkar2,
  author =       "N. K. Karmarkar",
  title =        "A new polynomial--time algorithm for linear
                 programming",
  journal =      "Combinatorica",
  volume =       "4",
  year =         "1984",
  pages =        "373--395",
}

@TechReport{int:Karmarkar3,
  author =       "N. K. Karmarkar",
  title =        "Some comments on the significance of the new
                 polynomial--time algorithm for linear programming",
  type =         "{Technical Report}",
  year =         "1984",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar4,
  author =       "N. K. Karmarkar",
  title =        "An interior--point approach to {NP}--complete
                 problems",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1988",
  month =        jul,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Misc{int:Karmarkar5,
  author =       "N. K. Karmarkar",
  title =        "Methods and apparatus for efficient resource
                 allocation",
  howpublished = "U.S.~Patent No.~4.744.028",
  year =         "1988",
  note =         "AT~\&~T Bell Laboratories, Murray Hill, NJ~07974,
                 USA",
}

@InCollection{int:Karmarkar6,
  author =       "N. K. Karmarkar",
  title =        "Riemannian geometry underlying interior--point methods
                 for linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "51--75",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Karmarkar7,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "Further developments in the new polynomial--time
                 algorithm for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Boston, MA, USA}",
  year =         "1985",
  month =        may,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar8,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "Implementation and computational aspects of the
                 {K}armarkar algorithm for linear programming, using an
                 iterative method for computing projections",
  type =         "{Technical Memorandum}",
  year =         "1989",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "See Karmarkar and Ramakrishnan \cite{int:Karmarkar9}",
}

@Article{int:Karmarkar9,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "Computational results of an interior point algorithm
                 for large scale linear programming",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "555--586",
}

@TechReport{int:Karmarkar10,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan",
  title =        "Robust control system models and their solution by the
                 {K}armarkar algorithm",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar11,
  author =       "N. K. Karmarkar and L. P. Sinha",
  title =        "Application of {K}armarkar's algorithm to overseas
                 telecommunications facilities planning",
  type =         "{Talk held at the 12th International Symposium on
                 Mathematical Programming in Boston, MA, USA}",
  year =         "1985",
  month =        aug,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Karmarkar12,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C.
                 Resende",
  title =        "An interior point algorithm for zero--one integer
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ 07974, USA",
}

@TechReport{int:Karmarkar13,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C.
                 Resende",
  title =        "Further developments on an interior point algorithm
                 for zero--one integer programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Karmarkar14,
  author =       "N. K. Karmarkar and J. C. Lagarias and L. Slutsman and
                 P. Wang",
  title =        "Power--series variants of {K}armarkar--type
                 algorithms",
  journal =      "AT~\&~T Technical Journal",
  volume =       "68",
  year =         "1989",
  pages =        "20--36",
}

@InCollection{int:Karmarkar15,
  author =       "N. K. Karmarkar",
  title =        "Interior--point methods in optimization",
  booktitle =    "Proceedings of the Second International Conference on
                 Industrial and Applied Mathematics (ICIAM~'91),
                 Washington, DC, July, 1991",
  year =         "1992",
  pages =        "160--181",
  publisher =    "SIAM Publications",
  address =      "Philadelphia, PA, USA",
}

@TechReport{int:Karmarkar16,
  author =       "N. K. Karmarkar",
  title =        "Recent developments in new approaches to linear
                 programming",
  type =         "{Talk held at the SIAM Conference on Optimization,
                 Houston, TX, USA}",
  year =         "1987",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Karmarkar17,
  author =       "N. K. Karmarkar and M. G. C. Resende and K. G.
                 Ramakrishnan",
  title =        "An interior point algorithm to solve computationally
                 difficult set covering problems",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "597--618",
}

@TechReport{int:Karmarkar18,
  author =       "N. K. Karmarkar",
  title =        "Why is the new algorithm better than simplex method
                 and ellipsoid method~?",
  type =         "{Extended Abstract}",
  year =         "1984/85",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@InCollection{int:Karmarkar19,
  author =       "N. K. Karmarkar",
  title =        "An interior--point approach to {NP}--complete problems
                 -- {Part I}",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "297--308",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Karmarkar20,
  author =       "N. K. Karmarkar and K. G. Ramakrishnan and M. G. C.
                 Resende",
  title =        "An interior--point approach to the maximum independent
                 set problem in dense random graphs",
  type =         "{Manuscript (in preparation)}",
  year =         "1988/1990",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Katsura1,
  author =       "R. Katsura and M. Fukushima and T. Ibaraki",
  title =        "Interior methods for nonlinear minimum cost network
                 flow problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "32",
  year =         "1989",
  pages =        "174--179",
}

@Article{int:Kennington1,
  author =       "J. L. Kennington",
  title =        "Using {KORBX} for military airlift applications",
  journal =      "Proceedings of the 28th IEEE Conference on Decision
                 and Control",
  year =         "1989",
  month =        dec,
  pages =        "1603--1605",
}

@PhdThesis{int:Keraghel1,
  author =       "A. Keraghel",
  title =        "Etude adaptive et comparative des prinicipales
                 variantes dans l'algorithme de {K}armarkar",
  year =         "1989",
  school =       "Laboratoire ARTEMIS (IMAG), Universite Joseph
                 Fourier",
  address =      "BP~68, F--38402 St.~Martin d'Heres Cedex, France",
  note =         "(In French)",
}

@TechReport{int:Khachian1,
  author =       "L. G. Khachian and M. J. Todd",
  title =        "On the complexity of approximating the maximal
                 inscribed ellipsoid for a polytope",
  type =         "{Technical Report}",
  number =       "893",
  year =         "1990",
  institution =  "School of Operations Research and Industrial
                 Engineering, College of Engineering, Cornell
                 University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@Article{int:Kim1,
  author =       "K. Kim and J. L. Nazareth",
  title =        "The decomposition principle and algorithms for linear
                 programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "119--133",
}

@TechReport{int:Kim2,
  author =       "K. Kim and J. L. Nazareth",
  title =        "Implementation of a primal null--space affine scaling
                 method and its extensions",
  type =         "{Technical Report}",
  number =       "92--1",
  year =         "1992",
  month =        jan,
  institution =  "Dept.\ of Pure and Applied Mathematics, Washington
                 State University",
  address =      "Pullman, WA~99164--3113, USA",
}

@PhdThesis{int:Kim3,
  author =       "K. Kim",
  title =        "The effective integration of simplex and interior
                 point techniques. {Part~I~:~Decomposition,
                 Part~II~:~Null--space affine scaling}",
  year =         "1991",
  school =       "Dept.\ of Pure and Applied Mathematics, Washington
                 State University",
  address =      "Pullman, WA~99164--3113, USA",
  note =         "According to Part\,I see Kim and Nazareth
                 \cite{int:Kim1}, for Part\,II see Kim and Nazareth
                 \cite{int:Kim4}",
}

@TechReport{int:Kim4,
  author =       "K. Kim and J. L. Nazareth",
  title =        "A primal null--space affine scaling method",
  type =         "{Technical Report}",
  year =         "1992",
  institution =  "Dept.\ of Pure and Applied Mathematics, Washington
                 State University",
  address =      "Pullman, WA~99164--3113, USA",
  note =         "To appear in {\em ACM Transactions on Mathematical
                 Software}",
}

@Article{int:Knyazev1,
  author =       "E. A. Knyazev",
  title =        "The method of centers with adaptation of parameters on
                 the basis of the steepest descent",
  journal =      "Issledovaniya po Prikladnoi Matematike (Kazanskii
                 Universitet)",
  volume =       "15",
  year =         "1988",
  pages =        "13--24",
  note =         "(In Russian)",
}

@Article{int:Kojima1,
  author =       "M. Kojima",
  title =        "Determining basic variables of optimal solutions in
                 {Karmarkar's new LP} algorithm",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "499--515",
}

@TechReport{int:Kojima2,
  author =       "M. Kojima and K. Tone",
  title =        "An efficient implementation of {Karmarkar's new LP}
                 algorithm",
  type =         "Research Reports on Information Sciences, Ser.~B~:
                 Operations Research",
  number =       "B--180",
  year =         "1986",
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
}

@Article{int:Kojima3,
  author =       "M. Kojima and N. Megiddo and Y. Ye",
  title =        "An interior point potential reduction algorithm for
                 the linear complementarity problem",
  journal =      "Mathematical Programming",
  volume =       "54",
  year =         "1992",
  pages =        "267--279",
}

@InCollection{int:Kojima4,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "A primal--dual interior point algorithm for linear
                 programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer Verlag",
  address =      "New York",
  editor =       "N.~Megiddo",
  year =         "1989",
  pages =        "29--47",
}

@Article{int:Kojima5,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "Ellipsoids that contain all the solutions of a
                 positive semi--definite linear complementarity
                 problems",
  journal =      "Mathematical Programming",
  volume =       "48",
  year =         "1990",
  pages =        "415--435",
}

@Article{int:Kojima6,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "An ${O(\sqrt{n}L)}$ iteration potential reduction
                 algorithm for linear complementarity problems",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "331--342",
}

@Article{int:Kojima7,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "A polynomial--time algorithm for a class of linear
                 complementarity problems",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "1--26",
}

@Book{int:Kojima8,
  author =       "M. Kojima and N. Megiddo and T. Noma and A. Yoshise",
  title =        "A unified approach to interior point algorithms for
                 linear complementarity problems",
  year =         "1991",
  series =       "Lecture Notes in Computer Science",
  volume =       "538",
  publisher =    "Springer Verlag",
  address =      "Berlin, Germany",
}

@Article{int:Kojima9,
  author =       "M. Kojima and N. Megiddo",
  title =        "The relation between the path of centers and {Smale's}
                 regularization of the linear programming problem",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "135--139",
}

@Article{int:Kojima10,
  author =       "M. Kojima and Y. Kurita and S. Mizuno",
  title =        "Large--step interior point algorithms for linear
                 complementarity problems",
  journal =      "SIAM Journal on Optimization",
  volume =       "3",
  number =       "2",
  year =         "1993",
  pages =        "398--412",
}

@TechReport{int:Kojima11,
  author =       "M. Kojima and N. Megiddo and S. Mizuno",
  title =        "A general framework of continuation methods for
                 complementarity problems",
  type =         "{Research Report}",
  number =       "RJ~7720~(71585)",
  year =         "1990",
  institution =  "IBM Almaden Research Center",
  address =      "San Jose, CA~95120--6099, USA",
  note =         "To appear in {\em Mathematics of Operations
                 Research}",
}

@Article{int:Kojima12,
  author =       "M. Kojima and N. Megiddo and S. Mizuno",
  title =        "Theoretical convergence of large--step--primal--dual
                 interior point algorithms for linear programming",
  journal =      "Mathematical Programming",
  volume =       "59",
  year =         "1993",
  pages =        "1--21",
}

@Article{int:Kojima13,
  author =       "M. Kojima and S. Mizuno and T. Noma",
  title =        "A new continuation method for complementarity problems
                 with uniform {$P$}--functions",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "107--113",
}

@Article{int:Kojima14,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "A little theorem of the {$Big-M$} in interior point
                 algorithms",
  journal =      "Mathematical Programming",
  volume =       "59",
  year =         "1993",
  pages =        "361--375",
}

@Article{int:Kojima15,
  author =       "M. Kojima and N. Megiddo and T. Noma and A. Yoshise",
  title =        "A unified approach to interior point algorithms for
                 linear complementarity problems~: {A} summary",
  journal =      "Operations Research Letters",
  volume =       "10",
  year =         "1991",
  pages =        "247--254",
}

@Article{int:Kojima16,
  author =       "M. Kojima and S. Mizuno and T. Noma",
  title =        "Limiting behavior of trajectories by a continuation
                 method for monotone complementarity problems",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "662--675",
}

@TechReport{int:Kojima17,
  author =       "M. Kojima and N. Megiddo and T. Noma",
  title =        "Homotopy continuation methods for complementarity
                 problems",
  type =         "{Research Report}",
  number =       "RJ~6638~(63949)",
  year =         "1989",
  institution =  "IBM Almaden Research Center",
  address =      "San Jose, CA~95120--6099, USA",
}

@Article{int:Kojima18,
  author =       "M. Kojima and N. Megiddo and T. Noma",
  title =        "Homotopy continuation methods for nonlinear
                 complementarity problems",
  journal =      "Mathematics of Operations Research",
  volume =       "16",
  number =       "4",
  year =         "1991",
  pages =        "754--774",
}

@TechReport{int:Kojima19,
  author =       "M. Kojima and N. Megiddo and S. Mizuno and A.
                 Yoshise",
  title =        "An artificial self--dual linear program",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
  note =         "See Kojima et al.\ \cite{int:Kojima14}",
}

@TechReport{int:Kojima20,
  author =       "M. Kojima and N. Megiddo and S. Mizuno",
  title =        "A primal--dual exterior point algorithm for linear
                 programming",
  type =         "{Research Report}",
  number =       "RJ~8500",
  year =         "1991",
  month =        dec,
  institution =  "IBM Almaden Research Center",
  address =      "San Jose, CA~95120--6099, USA",
}

@TechReport{int:Kojima21,
  author =       "M. Kojima and N. Megiddo and S. Mizuno",
  title =        "A conjugate direction method for approximating the
                 analytic center of a polytope",
  type =         "{Working Paper}",
  year =         "1991",
  month =        dec,
  institution =  "IBM Almaden Research Center",
  address =      "San Jose, CA~95120--6099, USA",
}

@TechReport{int:Kojima22,
  author =       "M. Kojima and T. Ishihara",
  title =        "On the {$Big~M$} in the affine scaling algorithm",
  type =         "Research Reports on Information Sciences, Ser.~B~:
                 Operations Research",
  number =       "B--255",
  year =         "1992",
  month =        mar,
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
}

@TechReport{int:Kojima23,
  author =       "M. Kojima and T. Noma and M. Satoh",
  title =        "Potential reduction algorithms for monotone
                 complementarity problems",
  type =         "Research Reports on Information Sciences, Ser.~B~:
                 Operations Research",
  number =       "B--251",
  year =         "1992",
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
}

@TechReport{int:Kojima24,
  author =       "M. Kojima and S. Mizuno and M. J. Todd",
  title =        "Infeasible--interior--point primal--dual
                 potential--reduction algorithms for linear
                 programming",
  type =         "{Technical Report}",
  number =       "1023",
  year =         "1992",
  month =        aug,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853, USA",
  note =         "A revised version is given in Mizuno et al.\
                 \cite{int:Mizuno19}",
}

@TechReport{int:Kojima25,
  author =       "M. Kojima and T. Noma and A. Yoshise",
  title =        "Global convergence and detecting infeasibility in
                 interior--point algorithms",
  type =         "Research Reports on Information Sciences, Ser.~B~:
                 Operations Research",
  number =       "B--257",
  year =         "1992",
  month =        sep,
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
}

@TechReport{int:Kojima26,
  author =       "M. Kojima and S. Mizuno and A. Yoshise",
  title =        "A convex property of monotone complementarity
                 problems",
  type =         "Research Reports on Information Sciences, Ser.~B~:
                 Operations Research",
  number =       "B--267",
  year =         "1993",
  month =        mar,
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
}

@Article{int:Kolata1,
  author =       "G. Kolata",
  title =        "A fast way to solve hard problems",
  journal =      "Science",
  volume =       "225",
  year =         "1984",
  month =        sep,
  pages =        "1379--1380",
}

@TechReport{int:Konno1,
  author =       "H. Konno and Y. Yajima",
  title =        "Path--following algorithms for solving nonconvex
                 programming problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Institute of Human and Social Science, Institute of
                 Technology",
  address =      "2--12--1~Oh--Okayama, Meguro--ku, Tokyo 152, Japan",
}

@Article{int:Konno2,
  author =       "H. Konno",
  title =        "Recent advances in linear programming",
  journal =      "Journal of the Japan Society of Simulation
                 Technology",
  volume =       "6",
  number =       "1",
  year =         "1987",
  month =        mar,
  pages =        "18--26",
  note =         "(In Japanese)",
}

@TechReport{int:Kortanek1,
  author =       "K. O. Kortanek",
  title =        "Vector--supercomputer experiments with the linear
                 programming scaling algorithm",
  type =         "{Working Paper Series}",
  number =       "87--2",
  year =         "1987",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
  note =         "See Kortanek and Zhu \cite{int:Kortanek13}, too",
}

@TechReport{int:Kortanek2,
  author =       "K. O. Kortanek",
  title =        "A second order affine scaling algorithm for the
                 geometric programming dual with logarithmic barrier",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
  note =         "See Kortanek and Ho \cite{int:Kortanek7}",
}

@Article{int:Kortanek3,
  author =       "K. O. Kortanek and M. Shi",
  title =        "Convergence results and numerical experiments on a
                 linear programming hybrid algorithm",
  journal =      "European Journal of Operational Research",
  volume =       "32",
  year =         "1987",
  pages =        "47--61",
}

@Article{int:Kortanek4,
  author =       "K. O. Kortanek and J. Zhu",
  title =        "New purification algorithms for linear programming",
  journal =      "Naval Research Logistics Quarterly",
  volume =       "35",
  year =         "1988",
  pages =        "571--583",
}

@TechReport{int:Kortanek5,
  author =       "K. O. Kortanek and D. N. Leo and M. Shi",
  title =        "An application of a hybrid algorithm for
                 semi--infinite programming",
  type =         "{Talk held at the 12th Symposium on Mathematical
                 Programming, Cambridge, MA, USA}",
  year =         "1985",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@Article{int:Kortanek6,
  author =       "K. O. Kortanek and F. Potra and Y. Ye",
  title =        "On some efficient interior point methods for nonlinear
                 convex programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "169--189",
}

@Article{int:Kortanek7,
  author =       "K. O. Kortanek and H. No",
  title =        "A second order affine scaling algorithm for the
                 geometric programming dual with logarithmic barrier",
  journal =      "Optimization",
  volume =       "23",
  year =         "1992",
  pages =        "303--322",
}

@TechReport{int:Kortanek8,
  author =       "K. O. Kortanek and J. Zhu",
  title =        "Controlling the parameter in the logarithmic barrier
                 term for convex programming problems",
  type =         "{Working Paper Series}",
  number =       "90--12",
  year =         "1990",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
  note =         "To appear in {\em Journal of Optimization Theory and
                 Applications}",
}

@TechReport{int:Kortanek9,
  author =       "K. O. Kortanek and S. Huang and J. Zhu",
  title =        "Central path trajectories and controlled dual
                 perturbations for geometric programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@TechReport{int:Kortanek10,
  author =       "K. O. Kortanek and S. Huang",
  title =        "A simultaneous primal--dual potential reduction
                 algorithm for linear programming",
  type =         "{Working Paper Series}",
  number =       "89--2",
  year =         "1989",
  institution =  "Dept.\ of Management Science, College of Business
                 Administration, University of Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@Article{int:Kortanek11,
  author =       "K. O. Kortanek and S. Huang",
  title =        "A note on a potential reduction algorithm with
                 simultaneous primal/dual updating",
  journal =      "Operations Research Letters",
  volume =       "10",
  year =         "1992",
  pages =        "501--507",
}

@Article{int:Kortanek12,
  author =       "K. O. Kortanek and J. Zhu",
  title =        "A polynomial barrier algorithm for linearly
                 constrained convex programming problems",
  journal =      "Mathematics of Operations Research",
  volume =       "18",
  number =       "1",
  year =         "1993",
  pages =        "116--127",
}

@Article{int:Kortanek13,
  author =       "K. O. Kortanek",
  title =        "Vector--supercomputer experiments with the primal
                 affine linear programming scaling algorithm",
  journal =      "SIAM Journal on Scientific Computations",
  volume =       "14",
  year =         "1993",
  pages =        "279--294",
}

@Article{int:Korytowski1,
  author =       "A. Korytowski",
  title =        "Inner search methods for linear programming",
  journal =      "Zastosowania Matematyki (Warshaw, Poland)",
  volume =       "20",
  number =       "2",
  year =         "1990",
  pages =        "307--327",
}

@Article{int:Kovacevic1,
  author =       "V. V. {Kovacevic--Vujcic}",
  title =        "Improving the rate of convergence of interior point
                 methods for linear programming",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "467--479",
}

@TechReport{int:Kovacevic2,
  author =       "V. V. {Kovacevic--Vujcic}",
  title =        "Interior point methods for transportation problems",
  type =         "{Talk held at the Symposium on Mathematical
                 Programming in Oberwolfach, Germany}",
  year =         "1992",
  month =        jan,
  institution =  "University of Belgrade",
  address =      "Belgrade, Yugoslavia",
}

@Article{int:Kozlov1,
  author =       "A. Kozlov",
  title =        "The {K}armarkar algorithm~: {I}s it for real~?",
  journal =      "SIAM News",
  volume =       "18",
  number =       "6",
  year =         "1985",
  month =        nov,
  pages =        "1, 4, 13",
}

@Article{int:Kozlov2,
  author =       "A. Kozlov and L. W. Black",
  title =        "Berkeley obtains new results with {K}armarkar
                 algorithm",
  journal =      "SIAM News",
  volume =       "19",
  number =       "3",
  year =         "1986",
  month =        may,
  pages =        "3, 20",
}

@TechReport{int:Kranich1,
  author =       "E. Kranich",
  title =        "Interior point methods for mathematical programming~:
                 {A} bibliography",
  type =         "{Discussion Paper}",
  number =       "171",
  year =         "1991",
  month =        may,
  institution =  "Institute of Economy and Operations Research,
                 FernUniversit{\"a}t Hagen",
  address =      "P.O. Box~940, D--5800~Hagen~1, West--Germany",
  note =         "Available through {\em netlib}, see Kranich
                 \cite{int:Kranich2}",
}

@Article{int:Kranich2,
  author =       "E. Kranich",
  title =        "Interior--point methods bibliography",
  journal =      "SIAG/OPT Views--and--News, A Forum for the SIAM
                 Activity Group on Optimization",
  volume =       "1",
  year =         "1992",
  pages =        "11",
}

@TechReport{int:Lagarias1,
  author =       "J. C. Lagarias",
  title =        "Analytic algorithms for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New Orleans, USA}",
  year =         "1987",
  month =        may,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Lagarias2,
  author =       "J. C. Lagarias",
  title =        "The nonlinear geometry of linear programming,
                 {Part~III}~: {Projective Legrende} transform
                 coordinates and {H}ilbert geometry",
  journal =      "Transactions of the American Mathematical Society",
  volume =       "320",
  year =         "1990",
  pages =        "193--225",
}

@Book{int:Lagarias3,
  author =       "J. C. Lagarias and M. J. Todd",
  title =        "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 {USA}, June/July 1988",
  year =         "1990",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Lagarias4,
  author =       "J. C. Lagarias",
  title =        "A collinear scaling interpretation of {Karmarkar's}
                 linear programming algorithm",
  type =         "{Technical Report}",
  year =         "1992",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "To appear in {\em SIAM Journal on Optimization,
                 1993}",
}

@TechReport{int:Lasdon1,
  author =       "L. S. Lasdon and J. C. Plummer and G. Yu",
  title =        "An interior point algorithm for general nonlinear
                 programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Management Science and Information Systems,
                 College of Business Administration, University of Texas
                 at Austin",
  address =      "Austin, TX~78712, USA",
}

@TechReport{int:Lasdon2,
  author =       "L. S. Lasdon and J. C. Plummer and G. Yu",
  title =        "An interior point algorithm for general nonlinear
                 programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Management Science and Information Systems,
                 College of Business Administration, University of Texas
                 at Austin",
  address =      "Austin, TX~78712, USA",
}

@TechReport{int:Lasdon3,
  author =       "L. S. Lasdon",
  title =        "An interior point method for nonlinearly constrained
                 problems",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Management Science and Information Systems,
                 College of Business Administration, University of Texas
                 at Austin",
  address =      "Austin, TX~78712, USA",
}

@TechReport{int:Lawler1,
  author =       "E. L. Lawler",
  title =        "Is {K}armarkar's algorithm for real~?",
  type =         "{Talk held at the EURO VII Congress on Operations
                 Research in Bologna, Italy}",
  year =         "1985",
  month =        jun,
  institution =  "University of California",
  address =      "Berkeley, CA~94720, USA",
}

@MastersThesis{int:Lely1,
  author =       "{W. van der} Lely",
  title =        "{BIN\,:\,A binary integer programming code using
                 interior--point methods}",
  year =         "1993",
  month =        jun,
  school =       "Faculty of Technical Mathematics and Informatics, TU
                 Delft",
  address =      "NL--2628~CD~Delft, The Netherlands",
}

@TechReport{int:Levkovitz1,
  author =       "R. Levkovitz and G. Mitra and M. Tamiz",
  title =        "Integration of the interior point method within
                 simplex~: {E}xperiments in feasible basis recovery",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Dept.\ of Mathematics and Statistics, Brunel
                 University",
  address =      "Uxbridge, Middlesex~UB8~3PH, UK",
}

@InCollection{int:Levkovitz2,
  author =       "R. Levkovitz and J. A. Andersen and G. Mitra",
  title =        "The interior point method for {LP} on parallel
                 computers",
  booktitle =    "System Modelling and Optimization (Proceedings of the
                 15th IFIP Conference held at the University of Zurich
                 1991)",
  editor =       "P. Kall",
  year =         "1992",
  pages =        "241--250",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "180",
  publisher =    "Springer Verlag",
  address =      "Berlin, Germany",
}

@PhdThesis{int:Levkovitz3,
  author =       "R. Levkovitz",
  title =        "An investigation of the interior point method for
                 large scale programming\,:\,{Theory} and computational
                 algorithms",
  year =         "1992",
  month =        oct,
  school =       "Mathematics Department, Brunel University",
  address =      "Uxbridge MDDX~UB8~3ph, United Kingdom",
}

@InCollection{int:Levkovitz4,
  author =       "R. Levkovitz and G. Mitra and M. Tamiz",
  title =        "Experimental investigations in combining {IPM} and
                 {Simplex} based {LP} solvers",
  booktitle =    "Symposium on Applied Mathematical Programming and
                 Modeling (APMOD '93), Budapest, Hungary, January 1993,
                 Volume of Extended Abstracts",
  editor =       "I. Maros",
  year =         "1992",
  month =        dec,
  pages =        "353--373",
  publisher =    "Computer and Automation Institute, Hungarian Academy
                 of Sciences",
  address =      "Budapest, Hungary",
}

@TechReport{int:Li1,
  author =       "G. Li and I. J. Lustig",
  title =        "An implementation of a parallel interior point method
                 for multicommodity flow problems",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@PhdThesis{int:Liao1,
  author =       "A. P. Liao",
  title =        "Algorithms for linear programming via weighted
                 centers",
  year =         "1992",
  month =        jan,
  school =       "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Liao2,
  author =       "A. P. Liao",
  title =        "Some variants of {Todd's} low--complexity algorithm",
  type =         "{Technical Report}",
  number =       "1032",
  year =         "1992",
  month =        sep,
  institution =  "School of Operations Research and Industrial
                 Engineering, College of Engineering, Cornell
                 University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Lindfield1,
  author =       "G. R. Lindfield and A. Salhi",
  title =        "A comparative study of the performance and
                 implementation of the {K}armarkar algorithm",
  type =         "{Talk held at the Martin Beale Memorial Symposium in
                 London, UK}",
  year =         "1987",
  month =        jul,
  institution =  "Dept.\ of Computer Science and Applied Mathematics,
                 Aston University",
  address =      "Birmingham B4~7ET, Great Britain",
}

@Article{int:Lisser1,
  author =       "A. Lisser and P. Tolla",
  title =        "Variants of {K}armarkar's algorithm",
  journal =      "Electricite de France (EDF) Bulletin de la Direction
                 des Etudes et Recherches Serie C Mathematique,
                 Informatique (Paris)",
  volume =       "3",
  year =         "1989",
  pages =        "21--36",
}

@TechReport{int:Lisser2,
  author =       "A. Lisser and N. Maculan and M. Minoux",
  title =        "Approximate one--dimensional minimization of the
                 potential function improves the convergence speed of
                 {K}armarkar's method",
  type =         "{Unpublished Manuscript}",
  year =         "1985",
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
}

@TechReport{int:Lisser3,
  author =       "A. Lisser and N. Maculan and M. Minoux",
  title =        "Large steps preserving polynomiality in {K}armarkar's
                 algorithm",
  type =         "Cahier",
  number =       "77",
  year =         "1987",
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
}

@TechReport{int:Lisser4,
  author =       "A. Lisser and M. J. Chifflet",
  title =        "A comparison of projective and affine approaches in
                 interior point methods",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Centre National d'Etudes des Telecommunications,
                 PAA--ATR",
  address =      "38--40~Rue du General--Leclerc,
                 F--92131~Issy--Les--Moulineaux, France",
}

@TechReport{int:Lisser5,
  author =       "A. Lisser and P. Tolla",
  title =        "An efficient software using the {K}armarkar's
                 algorithm",
  type =         "{Talk held at the EURO/TIMS Joint International
                 Conference on Operational Research in Paris, France}",
  year =         "1988",
  month =        jul,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
}

@PhdThesis{int:Lisser6,
  author =       "A. Lisser",
  title =        "Un logiciel derive de l'algorithme de {K}armarkar pour
                 la resolution de programmes lineaires de grande taille
                 {(A computational derivation of Karmarkar's algorithm
                 for the solution of large--scaled linear programs)}",
  year =         "1987",
  school =       "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
  note =         "(In French)",
}

@TechReport{int:Liu1,
  author =       "S. Liu",
  title =        "A long step path--following algorithm for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Liu2,
  author =       "S. Liu and D. Goldfarb",
  title =        "Interior point potential function reduction algorithms
                 for solving convex quadratic programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
  note =         "See Goldfarb and Liu \cite{int:Goldfarb10}",
}

@PhdThesis{int:Liu3,
  author =       "S. Liu",
  title =        "Interior point methods for linear, convex quadratic,
                 and convex programming",
  year =         "1991",
  school =       "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Liu4,
  author =       "C. J. Liu",
  title =        "A dual affine scaling based algorithm for solving
                 linear semi--infinite programming problems",
  type =         "{OR Research Report}",
  number =       "269",
  year =         "1993",
  month =        jul,
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
}

@Book{int:Lootsma1,
  author =       "F. A. Lootsma",
  title =        "Numerical Methods for Nonlinear Optimization",
  publisher =    "Academic Press",
  year =         "1972",
  address =      "London, UK",
}

@InCollection{int:Luo1,
  author =       "J. Luo and G. L. Reijns",
  title =        "Parallel solution of the revised simplex method and
                 interior point methods for linear programming",
  booktitle =    "Proceedings of the 1991 International Symposium in
                 Side, Turkey, October 1991",
  year =         "1991",
  pages =        "723--736",
  series =       "Computer and Information Sciences",
  volume =       "VI",
  publisher =    "Elsevier North Holland",
  address =      "Amsterdam, The Netherlands",
}

@Article{int:Luss1,
  author =       "H. Luss",
  title =        "Optimization~: {M}ethodolgy, algorithms and
                 applications",
  journal =      "AT~\&~T Technical Journal",
  volume =       "68",
  year =         "1989",
  pages =        "3--6",
}

@TechReport{int:Lustig1,
  author =       "I. J. Lustig",
  title =        "A practical approach to {K}armarkar's algorithm",
  type =         "{Technical Report}",
  number =       "SOL~85--5",
  year =         "1985",
  month =        jun,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Lustig2,
  author =       "I. J. Lustig",
  title =        "Identifying an optimal basis of a linear program using
                 an interior point method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Lustig3,
  author =       "I. J. Lustig",
  title =        "A generic primal--dual interior point algorithm",
  type =         "{Technical Report}",
  number =       "SOR~88--3",
  year =         "1988",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Lustig4,
  author =       "I. J. Lustig",
  title =        "An experimental analysis of the convergence rate of an
                 interior point algorithm",
  type =         "{Technical Report}",
  number =       "SOR~88--5",
  year =         "1988",
  month =        mar,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@Article{int:Lustig5,
  author =       "I. J. Lustig",
  title =        "Feasibility issues in aprimal--dual interior point
                 method for linear programming",
  journal =      "Mathematical Programming",
  volume =       "49",
  year =         "1990/91",
  pages =        "145--162",
}

@Article{int:Lustig6,
  author =       "I. J. Lustig",
  title =        "An analysis of an available set of linear programming
                 test problems",
  journal =      "Computers and Operations Research",
  volume =       "16",
  year =         "1989",
  pages =        "173--184",
  note =         "Augmented version in the Technical Report SOL~87-11,
                 Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University, Stanford, CA~94305, USA,
                 1987",
}

@Article{int:Lustig7,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Computational experience with a primal--dual interior
                 point method for linear programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "191--222",
}

@TechReport{int:Lustig8,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Recent computational experience with the primal--dual
                 interior point method for linear programming",
  type =         "{Technical Report}",
  number =       "RRR~46--89",
  year =         "1990",
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
  note =         "Incorrect citation, elsewhere; see Lustig et al.\
                 \cite{int:Lustig7}",
}

@Article{int:Lustig9,
  author =       "I. J. Lustig and J. M. Mulvey and T. J. Carpenter",
  title =        "The formulation of stochastic programs for interior
                 point methods",
  journal =      "Operations Research",
  volume =       "39",
  number =       "5",
  year =         "1991",
  pages =        "757--770",
}

@TechReport{int:Lustig10,
  author =       "I. J. Lustig and D. F. Shanno and J. W. Gregory",
  title =        "The primal--dual interior point method on a {C}ray
                 supercomputer",
  type =         "{Technical Report}",
  number =       "SOR~89--21",
  year =         "1989",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
  note =         "Same as Lustig et al.\ \cite{int:Lustig12}",
}

@TechReport{int:Lustig11,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Recent advances in the {OB1} interior point code",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
  note =         "See Bixby et al.\ \cite{int:Bixby1}",
}

@InCollection{int:Lustig12,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "The primal--dual interior point method on the {C}ray
                 supercomputer",
  booktitle =    "Large--Scale Numerical Optimization, Papers from the
                 Workshop held at Cornell University, Ithaca, NY, USA,
                 October 1989",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  year =         "1990",
  pages =        "70--80",
  editor =       "T. F. Coleman and Y. Li",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@TechReport{int:Lustig13,
  author =       "I. J. Lustig",
  title =        "An implementation of a strongly polynomial time
                 algorithm for basis recovery",
  type =         "{Technical Report}",
  number =       "(in preparation)",
  year =         "1991",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@Article{int:Lustig14,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "On implementing {M}ehrotra's predictor--corrector
                 interior point method for linear programming",
  journal =      "SIAM Journal on Optimization",
  volume =       "2",
  year =         "1992",
  pages =        "435--449",
}

@TechReport{int:Lustig15,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Starting and restarting the primal--dual interior
                 point method",
  type =         "{Technical Report}",
  number =       "SOR~90--14",
  year =         "1990",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@InCollection{int:Lustig16,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "The interaction of algorithms and architectures for
                 interior point methods",
  booktitle =    "Advances in Optimization and Parallel Computing",
  editor =       "P. M. Pardalos",
  year =         "1992",
  pages =        "190--205",
  publisher =    "North--Holland",
  address =      "Amsterdam, The Netherlands",
}

@InCollection{int:Lustig17,
  author =       "I. J. Lustig",
  title =        "Phase~1 search directions for a primal--dual interior
                 point method for linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "121--130",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Lustig18,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Interior method vs.\ simplex method~: {B}eyond {\em
                 netlib}",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "41--44",
}

@TechReport{int:Lustig19,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Computational experience with a globally convergent
                 primal--dual predictor--corrector algorithm for linear
                 programming",
  type =         "{Technical Report}",
  number =       "SOR--92--10",
  year =         "1992",
  month =        sep,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Lustig20,
  author =       "I. J. Lustig and R. E. Marsten and D. F. Shanno",
  title =        "Interior point methods\,:\,{Computational} state of
                 the art",
  type =         "{Technical Report}",
  number =       "SOR~90--17",
  year =         "1992",
  month =        dec,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
  note =         "Also available as RUTCOR Research Report RRR~41--92,
                 RUTCOR, Rutgers University, New Brunswick, NJ, USA. To
                 appear in {\em ORSA Journal on Computing}",
}

@Article{int:Ma1,
  author =       "Z. Ma",
  title =        "On interior point algorithms for linear programming",
  journal =      "Advanced Mathematics (Beijing, China)",
  volume =       "21",
  number =       "3",
  year =         "1992",
  pages =        "274--288",
}

@InCollection{int:Mahony1,
  author =       "R. E. Mahony and J. B. Moore",
  title =        "Recursive interior--point linear programming algorithm
                 based on {Lie--Brockett} flows",
  booktitle =    "Optimization~1 (Proceedings of the International
                 Conference (ICOTA) held in Singapore 1992)",
  editor =       "K. H. Phua and C. M. Wang and W. Y. Yeong",
  year =         "1992",
  pages =        "21--29",
  publisher =    "World Science Publishing",
  address =      "River Edge, NJ, USA",
}

@MastersThesis{int:Maier1,
  author =       "S. Maier",
  title =        "{Primal--duales innere--Punkte--Verfahren mit
                 endlicher Genauigkeit zur L{\"o}sung linearer Programme
                 (A primal--dual interior point method with finite
                 accuracy for solving linear programs)}",
  year =         "1989",
  school =       "Institut f{\"u}r Mathematik der
                 Naturwissenschaftlichen Fakult{\"a}t der
                 Universit{\"a}t Augsburg",
  address =      "D--8900~Augsburg, West--Germany",
  note =         "(In German)",
}

@TechReport{int:Mangasarian1,
  author =       "O. L. Mangasarian and R. Setiono",
  title =        "Serial and parallel interior proximal point methods
                 for linear programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@MastersThesis{int:Margraff1,
  author =       "G. Margraff",
  title =        "{Analyse und Modifikation des Karmarkar Verfahrens
                 (Analysis and modification of Karmarkar's algorithm)}",
  year =         "1987",
  school =       "Universit{\"a}t Trier, Fachbereich~IV",
  address =      "D--5500~Trier, West--Germany",
  note =         "(In German)",
}

@TechReport{int:Marsten1,
  author =       "R. E. Marsten and M. J. Saltzman",
  title =        "A dual--affine interior point algorithm for {LP's}
                 with bounded variables",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "Dept.\ of MIS, University of Arizona",
  address =      "Tucson, AZ~85721, USA",
  note =         "See Marsten et al.\ \cite{int:Marsten5}",
}

@TechReport{int:Marsten2,
  author =       "R. E. Marsten and D. F. Shanno",
  title =        "On implementing {K}armarkar's algorithm",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Dept.\ of MIS, University of Arizona",
  address =      "Tucson, AZ~85721, USA",
  note =         "Same as Shanno and Marsten \cite{int:Shanno5}",
}

@TechReport{int:Marsten3,
  author =       "R. E. Marsten and D. F. Shanno",
  title =        "Recent computational experience with the primal--dual
                 interior point method",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Technology Institute",
  address =      "Atlanta, GA~30322--0205, USA",
}

@TechReport{int:Marsten4,
  author =       "R. E. Marsten and M. J. Saltzman and J. W. Gregory and
                 T. G. Hewitt and D. F. Shanno",
  title =        "The dual affine interior point method for linear
                 programming implementation on {C}ray supercomputers",
  type =         "{Talk held at the CORS/ORSA/TIMS Joint National
                 Meeting in Vancouver, British Columbia, Canada}",
  year =         "1989",
  month =        may,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Technology Institute",
  address =      "Atlanta, GA~30322--0205, USA",
}

@Article{int:Marsten5,
  author =       "R. E. Marsten and M. J. Saltzman and D. F. Shanno and
                 J. F. Ballintijn and G. S. Pierce",
  title =        "Implementation of a dual affine interior point
                 algorithm for linear programming",
  journal =      "ORSA Journal on Computing",
  volume =       "1",
  year =         "1989",
  pages =        "287--297",
}

@Article{int:Marsten6,
  author =       "R. E. Marsten and R. Subramaniam and M. J. Saltzman
                 and I. J. Lustig and D. F. Shanno",
  title =        "Interior point methods for linear programming~: {Just
                 call Newton, Lagrange, and Fiacco and McCormick~!}",
  journal =      "Interfaces",
  volume =       "20",
  number =       "4",
  year =         "1990",
  pages =        "105--116",
}

@TechReport{int:Marsten7,
  author =       "R. E. Marsten",
  title =        "The {IMP System} on personal computers",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St.~Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "Dept.\ of MIS, University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@TechReport{int:Marsten8,
  author =       "R. E. Marsten",
  title =        "Interior point methods for large scale linear
                 programming",
  type =         "{Talk held at the Second International Conference on
                 Industrial and Applied Mathematics (ICIAM~'91),
                 Washington, DC, USA}",
  year =         "1991",
  month =        jul,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Technology Institute",
  address =      "Atlanta, GA~30322--0205, USA",
}

@TechReport{int:Marsten9,
  author =       "R. E. Marsten and D. F. Shanno",
  title =        "Interior point methods for linear programming~:
                 {R}eady for production use",
  type =         "{Workshop at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "School of Industrial and System Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30322, USA",
}

@TechReport{int:Marsten10,
  author =       "R. E. Marsten and M. J. Saltzman and D. F. Shanno",
  title =        "A dual affine interior point algorithm for {LP} with
                 bounded varaibles",
  type =         "{Talk held at the XIII International Symposium on
                 Mathematical Programming in Tokyo, Japan}",
  year =         "1988",
  month =        aug,
  institution =  "School of Industrial and System Engineering, Georgia
                 Institute of Technology",
  address =      "Atlanta, GA~30322, USA",
  note =         "See Marsten et al.\ \cite{int:Marsten5}",
}

@TechReport{int:Martinhon1,
  author =       "C. Martinhon and C. C. Gonzaga",
  title =        "A unified analysis of affine and projective primal
                 potential reduction algorithms for linear programming",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Systems Engineering and Computer Science,
                 COPPE Federal University of Rio de Janeiro",
  address =      "21941~Rio~de~Janeiro, RJ, Brazil",
}

@TechReport{int:Marxen1,
  author =       "A. Marxen",
  title =        "Primal barrier methods for linear programming",
  type =         "{Technical Report}",
  number =       "SOL~89--6",
  year =         "1989",
  month =        jun,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@PhdThesis{int:Marxen2,
  author =       "A. Marxen",
  title =        "Primal barrier methods for linear programming",
  year =         "1989",
  school =       "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Masuzawa1,
  author =       "K. Masuzawa and S. Mizuno and M. Mori",
  title =        "A polynomial time interior point algorithm for minimum
                 cost flow problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "33",
  year =         "1990",
  pages =        "157--167",
}

@TechReport{int:McCormick1,
  author =       "G. P. McCormick",
  title =        "Miscellaneous results concerning {Karmarkar's}
                 projective method and {SUMT}",
  type =         "{Manuscript}",
  number =       "GWU/IMSE/Serial T--519/87",
  year =         "1987",
  institution =  "Institute for Management Science and Engineering, The
                 George Washington University",
}

@Article{int:McDiarmid1,
  author =       "C. McDiarmid",
  title =        "On the improvement per iteration in {K}armarkar's
                 method for linear programming",
  journal =      "Mathematical Programming",
  volume =       "46",
  year =         "1990",
  pages =        "299--320",
}

@TechReport{int:McDiarmid2,
  author =       "C. McDiarmid",
  title =        "Why {K}armarkar's method is fast~?",
  type =         "{Talk held at the EURO/TIMS Joint International
                 Conference on Operational Research in Paris, France}",
  year =         "1988",
  month =        jul,
  institution =  "Institute of Economics and Statistics, St. Cross
                 Building, Oxford University",
  address =      "Oxford~OX1~3UL, UK",
}

@Article{int:McLinden1,
  author =       "L. McLinden",
  title =        "The analogue of {Moreau's} proximation theorem, with
                 applications to the nonlinear complementarity problem",
  journal =      "Pacific Journal of Mathematics",
  volume =       "88",
  year =         "1980",
  pages =        "101--161",
}

@Article{int:McQueen1,
  author =       "J. F. McQueen",
  title =        "Symposium on {K}armarkar's algorithm and related
                 algorithms for linear programming",
  journal =      "Bulletin of the Institute of Mathematics and Its
                 Applications",
  volume =       "21",
  year =         "1985",
  pages =        "154--155",
}

@Article{int:McShane1,
  author =       "K. A. McShane and C. L. Monma and D. F. Shanno",
  title =        "An implementation of a primal--dual interior point
                 method for linear programming",
  journal =      "ORSA Journal on Computing",
  volume =       "1",
  year =         "1989",
  pages =        "70--83",
}

@TechReport{int:McShane2,
  author =       "K. A. McShane",
  title =        "A superlinearly convergent ${O(\sqrt{n}L)}$ iteration
                 primal--dual linear programming algorithm",
  type =         "Manuscript",
  year =         "1991",
  institution =  "U. S. Government",
  address =      "2537~Villanova Drive, Vienna, Virginia, USA",
}

@PhdThesis{int:McShane3,
  author =       "K. A. McShane",
  title =        "Primal--dual interior point algorithms for linear
                 programming and the linear comlementarity problem",
  year =         "1992",
  month =        aug,
  school =       "School of Operations Research, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Megiddo1,
  author =       "N. Megiddo",
  title =        "A variation on {K}armarkar's algorithm",
  type =         "{Preliminary Report}",
  year =         "1984",
  institution =  "IBM San Jose Research Laboratory",
  address =      "San Jose, CA~95193, USA",
}

@Book{int:Megiddo2,
  author =       "N. Megiddo",
  title =        "New Approaches to Linear Programming",
  year =         "1986",
  series =       "Algorithmica",
  volume =       "1(4)",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@Article{int:Megiddo3,
  author =       "N. Megiddo",
  title =        "Introduction~: {N}ew approaches to linear
                 programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "387--394",
}

@Article{int:Megiddo4,
  author =       "N. Megiddo",
  title =        "Linear programming~(1986)",
  journal =      "Annual Review of Computer Science",
  volume =       "2",
  year =         "1987",
  pages =        "119--145",
}

@TechReport{int:Megiddo5,
  author =       "N. Megiddo",
  title =        "Report on the conference~: {P}rogress in mathematical
                 programming",
  type =         "{Technical Report}",
  number =       "RJ~5923",
  year =         "1987",
  month =        oct,
  institution =  "IBM~T.~J.~Watson Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@InCollection{int:Megiddo6,
  author =       "N. Megiddo",
  title =        "On the complexity of linear programming",
  booktitle =    "Advances in Economic Theory---The Fifth World
                 Congress",
  series =       "Econometric Society Monographs",
  volume =       "12",
  publisher =    "Cambridge University Press",
  address =      "Cambridge, UK",
  editor =       "T. F. Bewley",
  year =         "1987",
  pages =        "225--258",
}

@InCollection{int:Megiddo7,
  author =       "N. Megiddo",
  title =        "On solving the linear programming problem
                 approximately",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "35--50",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Megiddo8,
  author =       "N. Megiddo",
  title =        "Switching from a primal--dual {N}ewton algorithm to a
                 primal--dual (interior) simplex algorithm",
  type =         "{Technical Report}",
  number =       "RJ~6327",
  year =         "1988",
  institution =  "IBM Almaden Research Center",
  address =      "San Jose, CA~95120--6099, USA",
}

@Article{int:Megiddo9,
  author =       "N. Megiddo",
  title =        "On finding primal-- and dual--optimal bases",
  journal =      "ORSA Journal on Computing",
  volume =       "3",
  year =         "1991",
  pages =        "63--65",
}

@Book{int:Megiddo10,
  author =       "N. Megiddo",
  title =        "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer Verlag",
  address =      "New York",
  year =         "1989",
}

@InCollection{int:Megiddo11,
  author =       "N. Megiddo",
  title =        "Pathways to the optimal set in linear programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "131--158",
  publisher =    "Springer Verlag",
  address =      "New York",
  note =         "Identical version in~: {\em Proceedings of the 6th
                 Mathematical Programming Symposium of Japan, Nagoya,
                 Japan}, pages 1--35, 1986",
}

@Article{int:Megiddo12,
  author =       "N. Megiddo and M. Shub",
  title =        "Boundary behavior of interior point algorithms in
                 linear programming",
  journal =      "Mathematics of Operations Research",
  volume =       "14",
  year =         "1989",
  pages =        "97--146",
}

@TechReport{int:Megiddo13,
  author =       "N. Megiddo",
  title =        "A note on {Karmarkar's} projective transformation",
  type =         "{Unpublished Manuscript}",
  year =         "1988",
  month =        dec,
  institution =  "IBM Almaden Research Center",
  address =      "San Jose, CA~95120--6099, USA",
}

@TechReport{int:Mehrotra1,
  author =       "S. Mehrotra",
  title =        "A self--correcting version of {K}armarkar's
                 algorithm",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research",
  address =      "Columbia University, New York, NY~10027, USA",
}

@PhdThesis{int:Mehrotra2,
  author =       "S. Mehrotra",
  title =        "Variants of {K}armarkar's algorithm~: {T}heoretical
                 complexity and practical implementation",
  year =         "1987",
  school =       "Dept.\ of Industrial Engineering and Operations
                 Reseach, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Mehrotra3,
  author =       "S. Mehrotra",
  title =        "Implementation of some interior point methods for
                 linear programming~: {R}ecent developments",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St.~Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra4,
  author =       "S. Mehrotra",
  title =        "On implementation of interior point methods for linear
                 programming~: {K}armarkar's preconditioners",
  type =         "{Talk held at the CORS/ORSA/TIMS Joint National
                 Meeting in Vancouver, British Columbia, Canada}",
  year =         "1989",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Mehrotra5,
  author =       "S. Mehrotra",
  title =        "Implementation of affine scaling methods~:
                 {A}pproximate solutions of systems of linear equations
                 using preconditioned conjugate gradient methods",
  journal =      "ORSA Journal on Computing",
  volume =       "4",
  year =         "1992",
  pages =        "103--118",
}

@TechReport{int:Mehrotra6,
  author =       "S. Mehrotra",
  title =        "Implementation of affine scaling methods~: {T}owards
                 faster implementations with complete {C}holesky factor
                 in use",
  type =         "{Technical Report}",
  number =       "89--15",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Mehrotra7,
  author =       "S. Mehrotra",
  title =        "On finding a vertex solution using interior point
                 methods",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "233--253",
}

@TechReport{int:Mehrotra8,
  author =       "S. Mehrotra",
  title =        "On an implementation of the primal--dual
                 predictor--corrector algorithms",
  type =         "{Talk held at the Second Asilomar Workshop on Progress
                 in Mathematical Programming, Asilomar, CA, USA}",
  year =         "1990",
  month =        feb,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra9,
  author =       "S. Mehrotra",
  title =        "Implementations of affine scaling methods~: {S}peeding
                 up the computation",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Mehrotra10,
  author =       "S. Mehrotra and J. Sun",
  title =        "On the implementation of a (primal--dual) interior
                 point method",
  journal =      "SIAM Journal on Optimization",
  volume =       "2",
  number =       "4",
  year =         "1992",
  pages =        "575--601",
}

@Article{int:Mehrotra11,
  author =       "S. Mehrotra and J. Sun",
  title =        "A method of analytic centers for quadratically
                 constrained convex quadratic programs",
  journal =      "SIAM Journal on Numerical Analysis",
  volume =       "28",
  number =       "2",
  year =         "1991",
  pages =        "529--544",
}

@InCollection{int:Mehrotra12,
  author =       "S. Mehrotra and J. Sun",
  title =        "An interior point algorithm for solving smooth convex
                 programs based on {N}ewton's method",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "265--284",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Mehrotra13,
  author =       "S. Mehrotra and J. Sun",
  title =        "On computing the center of a quadratically constrained
                 set",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "81--89",
}

@Article{int:Mehrotra14,
  author =       "S. Mehrotra and J. Sun",
  title =        "An algorithm for convex quadratic programming that
                 requires ${O(n^{3.5}L)}$ arithmetic operations",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "342--363",
}

@TechReport{int:Mehrotra15,
  author =       "S. Mehrotra and J. Sun",
  title =        "Path--following methods for convex programming",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra16,
  author =       "S. Mehrotra",
  title =        "Generalized prediction--corrector methods for solving
                 linear programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra17,
  author =       "S. Mehrotra",
  title =        "Higher--order methods for solving linear programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra18,
  author =       "S. Mehrotra",
  title =        "Handling free variables in interior methods",
  type =         "{Technical Report}",
  number =       "91--06",
  year =         "1991",
  month =        mar,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra19,
  author =       "S. Mehrotra",
  title =        "Finite termination and superlinear convergence in
                 primal--dual methods",
  type =         "{Technical Report}",
  number =       "91--13",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra20,
  author =       "S. Mehrotra",
  title =        "Higher order methods and their performance",
  type =         "{Technical Report}",
  number =       "TR~90--16R1",
  year =         "1990",
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
  note =         "Revised July 1991",
}

@TechReport{int:Mehrotra21,
  author =       "S. Mehrotra and Y. Ye",
  title =        "On finding the optimal facet of linear programs",
  type =         "{Technical Report}",
  number =       "TR~91--10",
  year =         "1991",
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Mehrotra22,
  author =       "S. Mehrotra",
  title =        "Deferred rank--one updates in ${O(n^{3}L)}$ interior
                 point algorithm",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "35",
  year =         "1992",
  pages =        "345--352",
}

@TechReport{int:Mehrotra23,
  author =       "S. Mehrotra and R. Fourer",
  title =        "Solving symmetric indefinite systems in interior point
                 methods",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra24,
  author =       "S. Mehrotra",
  title =        "Finite termination in interior--point methods",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra25,
  author =       "S. Mehrotra",
  title =        "Quadratic convergence in a primal--dual method",
  type =         "{Techincal Report}",
  number =       "91--15",
  year =         "1991",
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@TechReport{int:Mehrotra26,
  author =       "S. Mehrotra and R. D. C. Monteiro",
  title =        "Parametric and range analysis for interior point
                 methods",
  type =         "{Techincal Report}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Systems and Industrial Engineering,
                 University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@Article{int:Mehrotra27,
  author =       "S. Mehrotra",
  title =        "On the implementation of a primal--dual interior point
                 method",
  journal =      "SIAM Journal on Optimization",
  volume =       "2",
  number =       "4",
  year =         "1992",
  pages =        "575--601",
}

@TechReport{int:Meketon1,
  author =       "M. S. Meketon and R. J. Vanderbei",
  title =        "Degeneracy issues in the affine scaling algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 St.~Louis, USA}",
  year =         "1987",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@InCollection{int:Meketon2,
  author =       "M. S. Meketon",
  title =        "Optimization in simulation~: {A} survey of recent
                 results",
  booktitle =    "Proceedings of the Winter Simulation Conference held
                 in Atlanta, GA~30322, USA,December 1987",
  editor =       "A. Thesen and H. Grant and W. D. Kelton",
  year =         "1987",
  pages =        "58--67",
  publisher =    "ACM Press",
  address =      "New York, NY, USA",
}

@TechReport{int:Meketon3,
  author =       "M. S. Meketon",
  title =        "Least absolute value regression",
  type =         "{Working Paper}",
  year =         "1985",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Melman1,
  author =       "A. Melman and R. Polyak",
  title =        "Newton modified barrier function complexity for
                 quadratic programming problems",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "California Institute of Technology",
  address =      "USA",
}

@TechReport{int:Mennicken1,
  author =       "J. Mennicken",
  title =        "Implementation of a first order central path following
                 algorithm for solving large linear programs",
  type =         "{Technical Report}",
  number =       "202",
  year =         "1990",
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
}

@TechReport{int:Meyer1,
  author =       "R. R. Meyer and G. L. Schultz",
  title =        "Structured interior point methods for multicommodity
                 flows",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@InCollection{int:Miagen1,
  author =       "S. Miagen and T. Miyazaki",
  title =        "Implementation and numerical experiments on an
                 interior--point algorithm for linear programming",
  booktitle =    "Proceedings of the InfoJapan~'90\ : Information
                 Technology Harmonizing with Society, Tokyo, Japan,
                 Oct.\ 1990",
  volume =       "1",
  year =         "1990",
  pages =        "19--25",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@TechReport{int:Minoux1,
  author =       "M. Minoux",
  title =        "New suggested implementation of {K}armarkar's
                 algorithm",
  type =         "Cahier",
  number =       "71",
  year =         "1986",
  month =        may,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
}

@PhdThesis{int:Mitchell1,
  author =       "J. E. Mitchell",
  title =        "Karmarkar's algorithm and combinatorial optimization
                 problems",
  year =         "1988",
  school =       "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--7501, USA",
}

@InCollection{int:Mitchell2,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "On the relationship between the search directions in
                 the affine and projective variants of {K}armarkar's
                 linear programming algorithm",
  booktitle =    "Contributions to Operations Research and Economics~:
                 The Twentieth Anniversary of CORE",
  editor =       "B. Cornet and H. Tulkens",
  year =         "1989",
  pages =        "237--250",
  publisher =    "M.I.T. Press",
  address =      "Cambridge, MA, USA",
}

@TechReport{int:Mitchell3,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving linear ordering problems using {K}armarkar's
                 algorithm",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--7501, USA",
  note =         "Incorrect citation, elsewhere; part of Mitchell
                 \cite{int:Mitchell1}, and of Mitchell and Todd
                 \cite{int:Mitchell6}",
}

@Article{int:Mitchell4,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "A variant of {K}armarkar's linear programming
                 algorithm for problems with some unrestricted
                 variables",
  journal =      "SIAM Journal on Matrix Analysis and Applications",
  volume =       "10",
  year =         "1989",
  pages =        "30--38",
}

@TechReport{int:Mitchell5,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving combinatorial optimization problems using
                 {K}armarkar's algorithm, {Part~I}~: {T}heory",
  type =         "{RPI Technical Report}",
  number =       "172",
  year =         "1989",
  month =        jan,
  institution =  "Dept.\ of Mathematical Sciences, Rensselaer
                 Polytechnic Institute",
  address =      "Troy, NY~12180--3590, USA",
}

@TechReport{int:Mitchell6,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving combinatorial optimization problems using
                 {K}armarkar's algorithm, {Part~II}~: {C}omputational
                 results",
  type =         "{RPI Technical Report}",
  number =       "173",
  year =         "1989",
  month =        jan,
  institution =  "Dept.\ of Mathematical Sciences, Rensselaer
                 Polytechnic Institute",
  address =      "Troy, NY~12180--3590, USA",
}

@TechReport{int:Mitchell7,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving perfect matching problems using {K}armarkar's
                 algorithm",
  type =         "{RPI Technical Report}",
  number =       "174",
  year =         "1989",
  month =        aug,
  institution =  "Dept.\ of Mathematical Sciences, Rensselaer
                 Polytechnic Institute",
  address =      "Troy, NY~12180--3590, USA",
  note =         "See Mitchell and Todd \cite{int:Mitchell10}, too",
}

@TechReport{int:Mitchell8,
  author =       "J. E. Mitchell",
  title =        "An interior point column generation method for linear
                 programming with shifted barriers",
  type =         "{RPI Technical Report}",
  number =       "191",
  year =         "1990",
  institution =  "Rensselaer Polytechnic Institute, Dept.\ of
                 Mathematical Sciences",
  address =      "Troy, NY~12180--3590, USA",
  note =         "To appear in {\em SIAM Journal on Optimization}",
}

@Article{int:Mitchell9,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving combinatorial optimization problems using
                 {Karmarkar's} algorithm",
  journal =      "Mathematical Programming",
  volume =       "56",
  year =         "1992",
  pages =        "245--284",
  note =         "Combination and shortening of Mitchell and Todd
                 \cite{int:Mitchell5,int:Mitchell6}",
}

@InCollection{int:Mitchell10,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Solving perfect matching problems using {K}armarkar's
                 algorithm",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "309--318",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Mitchell11,
  author =       "J. E. Mitchell",
  title =        "A note on updating lower bounds when using
                 {K}armarkar's projective algorithm for linear
                 programming",
  type =         "{RPI Technical Report}",
  number =       "190",
  year =         "1990",
  institution =  "Rensselaer Polytechnic Institute, Dept.\ of
                 Mathematical Sciences",
  address =      "Troy, NY~12180--3590, USA",
  note =         "To appear in {\em Journal of Optimization Theory and
                 Applications 77(3), June 1993}",
}

@TechReport{int:Mitchell12,
  author =       "J. E. Mitchell and M. J. Todd",
  title =        "Two variants of {K}armarkar's linear programming
                 algorithm for problems with some unrestricted
                 variables",
  type =         "{Technical Report}",
  number =       "741",
  year =         "1987",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--7501, USA",
  note =         "Incorporated in Mitchell and Todd
                 \cite{int:Mitchell4}",
}

@TechReport{int:Mitchell13,
  author =       "J. E. Mitchell",
  title =        "An interior point column generation method for linear
                 programming using shifted barriers",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Rensselaer Polytechnic Institute, Dept.\ of
                 Mathematical Sciences",
  address =      "Troy, NY~12180--3590, USA",
}

@Article{int:Mitchell14,
  author =       "J. E. Mitchell and B. Borchers",
  title =        "A primal--dual interior point cutting plane method for
                 the linear ordering problem",
  journal =      "COAL Bulletin",
  volume =       "21",
  year =         "1992",
  pages =        "13--18",
}

@TechReport{int:Mitchell15,
  author =       "J. E. Mitchell and B. Borchers",
  title =        "Solving real--world linear ordering problems using a
                 primal--dual interior point cutting plane method",
  type =         "{Technical Report}",
  number =       "207",
  year =         "1993",
  month =        mar,
  institution =  "Dept.\ of Mathematical Sciences, Rensselaer
                 Polytechnic Institute",
  address =      "Troy, NY~12180--3590, USA",
}

@InCollection{int:Mitra1,
  author =       "G. Mitra and M. Tamiz and J. Yadegar",
  title =        "A hybrid algorithm for linear programming",
  booktitle =    "Simulation and Optimization of Large Systems",
  editor =       "A. J. Osiadacz",
  year =         "1988",
  pages =        "143--159",
  series =       "The Institute of Mathematics and Its Applications
                 Conference Series",
  volume =       "13",
  publisher =    "Clarendon Press",
  address =      "Oxford, England",
}

@Article{int:Mitra2,
  author =       "G. Mitra and M. Tamiz and J. Yadegar",
  title =        "Experimental investigation of an interior search
                 method within a simplex framework",
  journal =      "Communications of the ACM",
  volume =       "31",
  number =       "12",
  year =         "1988",
  pages =        "1474--1482",
}

@Article{int:Mizuno1,
  author =       "S. Mizuno",
  title =        "An ${O(n^{3}L)}$ algorithm using a sequence for linear
                 complementarity problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "33",
  year =         "1990",
  pages =        "66--75",
}

@Article{int:Mizuno2,
  author =       "S. Mizuno",
  title =        "A rank--one updating interior algorithm for linear
                 programming",
  journal =      "Arabian Journal for Science and Engineering",
  volume =       "15",
  number =       "4",
  year =         "1990",
  pages =        "671--677",
}

@Article{int:Mizuno3,
  author =       "S. Mizuno and K. Masuzawa",
  title =        "Polynomial time interior point algorithms for
                 transportation problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "32",
  year =         "1989",
  pages =        "371--382",
}

@TechReport{int:Mizuno4,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "Anticipated behavior of path--following algorithms for
                 linear programming",
  type =         "{Technical Report}",
  number =       "878",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "See Mizuno et al.\ \cite{int:Mizuno8}",
}

@TechReport{int:Mizuno5,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "Anticipated behavior of long--step algorithms for
                 linear programming",
  type =         "{Technical Report}",
  number =       "882",
  year =         "1990",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "Technical Report 24, Dept.\ of Management Science and
                 Engineering, Tokyo Institute of Technology,
                 Oh--Okayama, Meguro--ku, Tokyo~152, Japan, 1989.
                 Technical Report 89--23, Dept.\ of Management Science,
                 University of Iowa, Iowa City, IA~52242, USA, 1989.
                 {\newline See Mizuno et al.\ \cite{int:Mizuno8}}",
}

@TechReport{int:Mizuno6,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "Anticipated behavior of interior point algorithms for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "Incorrect citation, elsewhere",
}

@Article{int:Mizuno7,
  author =       "S. Mizuno and A. Yoshise and T. Kikuchi",
  title =        "Practical polynomial time algorithms for linear
                 complementarity problems",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "32",
  year =         "1989",
  pages =        "75--92",
}

@TechReport{int:Mizuno8,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "On adaptive step primal--dual interior--point
                 algorithms for linear programming",
  type =         "{Technical Report}",
  number =       "944",
  year =         "1990",
  month =        oct,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "Revised and combined version of Mizuno et al.\
                 \cite{int:Mizuno4,int:Mizuno5}. To appear in {\em
                 Mathematics of Operations Research}",
}

@Article{int:Mizuno9,
  author =       "S. Mizuno",
  title =        "A new polynomial time method for a linear
                 complementarity problem",
  journal =      "Mathematical Programming",
  volume =       "56",
  year =         "1992",
  pages =        "31--43",
}

@Article{int:Mizuno10,
  author =       "S. Mizuno",
  title =        "{$O(n^{\rho}L)$} iteration {$O(n^{3}L)$} potential
                 reduction algorithms for linear programming",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "155--168",
}

@TechReport{int:Mizuno11,
  author =       "S. Mizuno and M. J. Todd",
  title =        "An {$O(n^{3}L)$} long step path following algorithm
                 for a linear complementarity problem",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "Same as Mizuno and Todd \cite{int:Mizuno12}",
}

@Article{int:Mizuno12,
  author =       "S. Mizuno and M. J. Todd",
  title =        "An {$O(n^{3}L)$} adaptive path following algorithm for
                 a linear complementarity problem",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "587--595",
}

@Article{int:Mizuno13,
  author =       "S. Mizuno and R. Saigal and J. B. Orlin",
  title =        "Determination of optimal vertices from feasible
                 solution in unimodular programming",
  journal =      "Mathematical Programming",
  volume =       "59",
  year =         "1993",
  pages =        "23--31",
}

@Article{int:Mizuno14,
  author =       "S. Mizuno and A. Nagasawa",
  title =        "Strict monotonicity in {Todd's} low--complexity
                 algorithm for linear programming",
  journal =      "Operations Research Letters",
  volume =       "12",
  year =         "1992",
  pages =        "59--64",
}

@TechReport{int:Mizuno15,
  author =       "S. Mizuno and A. Nagasawa",
  title =        "A primal--dual affine scaling potential reduction
                 algorithm for linear programming",
  type =         "{Research Memorandum}",
  number =       "427",
  year =         "1992",
  month =        feb,
  institution =  "The Institute of Statistical Mathematics",
  address =      "Tokyo, Japan",
}

@TechReport{int:Mizuno16,
  author =       "S. Mizuno",
  title =        "Polynomiality of the {Kojima--Megiddo--Mizuno}
                 infeasible interior point algorithm for linear
                 programming",
  type =         "{Technical Report}",
  number =       "1006",
  year =         "1992",
  month =        may,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Mizuno17,
  author =       "S. Mizuno",
  title =        "A primal--dual interior point method for linear
                 programming",
  type =         "{Research Reports on Information Sciences, Ser.~B~:
                 Operations Research}",
  number =       "B--252",
  year =         "1992",
  month =        jan,
  institution =  "Dept.\ of Information Sciences, Tokyo Institute of
                 Technology",
  address =      "Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
  note =         "(In Japanese)",
}

@TechReport{int:Mizuno18,
  author =       "S. Mizuno and M. J. Todd and L. Tun{\c c}el",
  title =        "Monotonicity of primal and dual objective values in
                 primal--dual interior--point algorithms",
  type =         "{Technical Report}",
  year =         "1992",
  month =        jul,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Mizuno19,
  author =       "S. Mizuno and M. Kojima and M. J. Todd",
  title =        "Infeasible--interior--point primal--dual
                 potential--reduction algorithms for linear
                 programming",
  type =         "{Technical Report}",
  number =       "1023",
  year =         "1992",
  month =        sep,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Mizuno20,
  author =       "S. Mizuno and M. J. Todd and Y. Ye",
  title =        "A surface of analytic centers and
                 infeasible--interior--point algorithms for linear
                 programming",
  type =         "{Technical Report}",
  year =         "1993",
  month =        jan,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Mizuno21,
  author =       "S. Mizuno",
  title =        "Polynomiality of infeasible interior--point algorithms
                 for linear programming",
  type =         "{Technical Report}",
  year =         "1992",
  month =        may,
  institution =  "The Institute of Statistical Mathematics",
  address =      "4--6--7~Minami--Azabu, Minato--Ku, Tokyo~106, Japan",
  note =         "Revised January 1993",
}

@TechReport{int:Monma1,
  author =       "C. L. Monma",
  title =        "Recent breakthroughs in linear programming methods",
  type =         "{Internal Memorandum}",
  year =         "1987",
  institution =  "Bell Communications Research",
  address =      "Morristown, NJ~07960, USA",
}

@Article{int:Monma2,
  author =       "C. L. Monma",
  title =        "Successful implementations of interior algorithms",
  journal =      "SIAM News",
  volume =       "22",
  number =       "2",
  year =         "1989",
  month =        mar,
  pages =        "14--16",
}

@Article{int:Monma3,
  author =       "C. L. Monma and A. J. Morton",
  title =        "Computational experience with the dual affine variant
                 of {K}armarkar's method for linear programming",
  journal =      "Operations Research Letters",
  volume =       "6",
  year =         "1987",
  pages =        "261--267",
}

@Article{int:Monteiro1,
  author =       "R. D. C. Monteiro",
  title =        "On the continuous trajectories for a potential
                 reduction algorithm for linear programming",
  journal =      "Mathematics of Operations Research",
  volume =       "17",
  year =         "1992",
  pages =        "225--253",
}

@TechReport{int:Monteiro2,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "An ${O(n^{3}L)}$ primal--dual interior point algorithm
                 for linear programming",
  type =         "{Technical Report}",
  number =       "ORC~87--4",
  year =         "1987",
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Monteiro3,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "Interior path following primal--dual algorithms~:
                 {Part~I~: L}inear programming",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "27--41",
}

@Article{int:Monteiro4,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "Interior path following primal--dual algorithms~:
                 {Part~II~: C}onvex quadratic programming",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "43--66",
}

@Article{int:Monteiro5,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "An extension of {K}armarkar--type algorithm to a class
                 of convex separable programming problems with global
                 linear rate of convergence",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "408--422",
}

@TechReport{int:Monteiro6,
  author =       "R. D. C. Monteiro and I. Adler",
  title =        "A polynomial primal--dual affine algorithm for {LP}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Denver, CO, USA}",
  year =         "1988",
  month =        oct,
  institution =  "Engineering Systems Research Center, University of
                 California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Monteiro7,
  author =       "R. D. C. Monteiro and I. Adler and M. G. C. Resende",
  title =        "A polynomial--time primal--dual affine scaling
                 algorithm for linear and convex quadratic programming
                 and its power series extension",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "191--214",
}

@TechReport{int:Monteiro8,
  author =       "R. D. C. Monteiro",
  title =        "An implementation of range analysis for {LP} problems
                 solved via interior point methods",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Systems and Industrial Engineering,
                 University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@InCollection{int:Monteiro9,
  author =       "R. D. C. Monteiro",
  title =        "Convergence and boundary behavior of the projective
                 scaling trajectories for linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "213--229",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Monteiro10,
  author =       "R. D. C. Monteiro",
  title =        "Convergence and boundary behavior of the projective
                 scaling trajectories for linear programming",
  journal =      "Mathematics of Operations Research",
  volume =       "16",
  number =       "4",
  year =         "1991",
  pages =        "842--858",
}

@TechReport{int:Monteiro11,
  author =       "R. D. C. Monteiro",
  title =        "A globally convergent primal--dual interior point
                 algorithm for convex programming",
  type =         "{Technical Report}",
  number =       "91--021",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Systems and Industrial Engineering,
                 University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@TechReport{int:Monteiro12,
  author =       "R. D. C. Monteiro and S. J. Wright",
  title =        "A globally and superlinearly convergent potential
                 reduction interior point method for convex
                 programming",
  type =         "{Technical Report}",
  number =       "92--13",
  year =         "1992",
  month =        jul,
  institution =  "Dept.\ of Systems and Industrial Engineering,
                 University of Arizona",
  address =      "Tucson, AZ~85721, USA",
  note =         "Also appeared as {Technical Report} MSC--P316--0792,
                 Mathematical and Computer Science Division, Argonne
                 National Laboratory, Argonne, IL~60439, USA, July
                 1992",
}

@TechReport{int:Monteiro13,
  author =       "R. D. C. Monteiro",
  title =        "The global convergence of a class of primal potential
                 reduction algorithms for convex programming",
  type =         "{Technical Report}",
  year =         "1991",
  month =        aug,
  institution =  "Dept.\ of Systems and Industrial Engineering,
                 University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@TechReport{int:Monteiro14,
  author =       "R. D. C. Monteiro and T. Tsuchiya",
  title =        "Limiting behavior of the derivatives of certain
                 trajectories associated with a monotone horizontal
                 linear complementarity problem",
  type =         "{Working Paper}",
  number =       "92--28",
  year =         "1992",
  month =        dec,
  institution =  "Dept.\ of Systems and Industrial Engineering,
                 University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@TechReport{int:Monteiro15,
  author =       "R. D. C. Monteiro and J.--S. Pang and T. Wang",
  title =        "A positive algorithm for the nonlinear complementarity
                 problem",
  type =         "{Working Paper}",
  number =       "92--26",
  year =         "1992",
  month =        dec,
  institution =  "Dept.\ of Systems and Industrial Engineering,
                 University of Arizona",
  address =      "Tucson, AZ~85721, USA",
}

@TechReport{int:Monteiro16,
  author =       "R. D. C. Monteiro and S. J. Wright",
  title =        "Local convergence of interior--point algorithms for
                 degenerate monotone {LCP}",
  type =         "{Preprint}",
  number =       "MSC--P357--0493",
  year =         "1993",
  month =        apr,
  institution =  "Mathematics and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
}

@TechReport{int:Monteiro17,
  author =       "R. D. C. Monteiro and S. J. Wright",
  title =        "Superlinear primal--dual affine scaling algorithms for
                 {LCP}",
  type =         "{Preprint}",
  number =       "MSC--P360--0693",
  year =         "1993",
  month =        jun,
  institution =  "Mathematics and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
}

@TechReport{int:Monteiro18,
  author =       "R. D. C. Monteiro and S. J. Wright",
  title =        "A superlinear infeasible--interior--point affine
                 scaling algorithm for {LCP}",
  type =         "{Preprint}",
  number =       "MSC--P361--0693",
  year =         "1993",
  month =        jun,
  institution =  "Mathematics and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
}

@TechReport{int:Morales1,
  author =       "J. L. {Morales--Perez} and R. W. H. Sargent",
  title =        "Numerical experiments with an interior point method
                 for large scale convex quadratic programming",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Imperial College",
  address =      "United Kingdom",
}

@TechReport{int:Morin1,
  author =       "T. L. Morin and B. Haas and T. B. Trafalis",
  title =        "Implementation of an interior point algorithm for
                 multiobjective optimization",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Mathematics and Computer Science, School of
                 Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@TechReport{int:Morin2,
  author =       "T. L. Morin and T. B. Trafalis",
  title =        "A polynomial--time algorithm for finding an efficient
                 face of a polyhedron",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Dept.\ of Mathematics and Computer Science, School of
                 Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@TechReport{int:Morshedi1,
  author =       "A. M. Morshedi and R. A. Tapia",
  title =        "Karmarkar as a classical method",
  type =         "{Technical Report}",
  number =       "TR~87--7",
  year =         "1987",
  month =        aug,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Mueller1,
  author =       "H. M{\"u}ller--Merbach",
  title =        "Right through the interior with the simplex
                 technique",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "University of Kaiserslautern",
  address =      "D--6100~Kaiserslautern, West--Germany",
}

@TechReport{int:Mulvey1,
  author =       "J. M. Mulvey and A. Ruszczynski",
  title =        "A diagonal quadratic approximation method for large
                 scale linear programs",
  type =         "{Technical Report}",
  number =       "SOR~90--08",
  year =         "1990",
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Mulvey2,
  author =       "J. M. Mulvey and A. Ruszczynski",
  title =        "A parallel interior point method for multistage
                 stochastic optimization",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "School of Engineering and Applied Science, Dept.\ of
                 Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Muramatsu1,
  author =       "M. Muramatsu and T. Tsuchiya",
  title =        "A convergence analysis of a long--step variant of the
                 projective scaling algorithm",
  type =         "{Research Memorandum}",
  number =       "454",
  year =         "1992",
  month =        nov,
  institution =  "The Institute of Statistical Mathematics",
  address =      "4--6--7 Minami--Azabu, Minato--Ku, Tokyo~106, Japan",
}

@InCollection{int:Murray1,
  author =       "W. Murray",
  title =        "Methods for large--scale linear programming",
  booktitle =    "Algorithms and Model Formulations in Mathematical
                 Programming",
  editor =       "S. W. Wallace",
  series =       "NATO ASI Series",
  volume =       "F51",
  year =         "1989",
  pages =        "115--137",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@TechReport{int:Murray2,
  author =       "S. Murray",
  title =        "An interior point conjugate gradient approach to the
                 generalized flow problem with costs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Operations Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Murray3,
  author =       "W. Murray and M. H. Wright",
  title =        "Line search procedures for the logarithmic barrier
                 function",
  type =         "{Numerical Analysis Manuscript}",
  number =       "92--01",
  year =         "1991",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "Based on the Technical Report SOL~76--18, Dept.\ of
                 Operations Research, Stanford University, Stanford,
                 CA~94305, USA, 1976",
}

@TechReport{int:Murty1,
  author =       "K. G. Murty and Y. Fathi",
  title =        "A feasible direction method for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Boston, MA, USA}",
  year =         "1985",
  month =        apr,
  institution =  "Dept.\ of Operations Research, University of
                 Michigan",
  address =      "Ann Arbor, MI~48103, USA",
  note =         "See Murty \cite{int:Murty2,int:Murty3}",
}

@TechReport{int:Murty2,
  author =       "K. G. Murty",
  title =        "A new interior variant of the gradient projection
                 method for linear programming",
  type =         "{Technical Report}",
  number =       "85--18",
  year =         "1985",
  institution =  "Dept.\ of Operations Research, University of
                 Michigan",
  address =      "Ann Arbor, MI~48103, USA",
  note =         "See Murty \cite{int:Murty3}",
}

@Article{int:Murty3,
  author =       "K. G. Murty",
  title =        "The gravitational method for linear programming",
  journal =      "Journal of the Operational Research Society of India
                 (Opsearch)",
  volume =       "23",
  year =         "1986",
  pages =        "206--214",
}

@InBook{int:Murty4,
  author =       "K. G. Murty",
  title =        "{Linear Complementarity, Linear and Nonlinear
                 Programming}",
  chapter =      "11.4.1~: {The Karmarkar's algorithm for linear
                 programming}",
  pages =        "469--494",
  series =       "Sigma Series in Applied Mathematics",
  volume =       "3",
  publisher =    "Heldermann Verlag",
  address =      "Nassauische~Str.~26, D--1000~Berlin~31,
                 West--Germany",
  year =         "1988",
}

@InBook{int:Murty5,
  author =       "K. G. Murty",
  title =        "{Linear Complementarity, Linear and Nonlinear
                 Programming}",
  chapter =      "11.4.4~: {The gravitational method for linear
                 programming}",
  pages =        "498--506",
  series =       "Sigma Series in Applied Mathematics",
  volume =       "3",
  publisher =    "Heldermann Verlag",
  address =      "Nassauische~Str.~26, D--1000~Berlin~31,
                 West--Germany",
  year =         "1988",
}

@Article{int:Nash1,
  author =       "S. G. Nash",
  title =        "Optimization at {ICIAM~'91}",
  journal =      "SIAM News",
  volume =       "24",
  number =       "5",
  year =         "1991",
  month =        sep,
  pages =        "16",
}

@TechReport{int:Nash2,
  author =       "S. G. Nash and A. Sofer",
  title =        "Newton--type barrier methods for large--scale
                 nonlinear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Operations Research and Applied Statistics,
                 George Mason University",
  address =      "Fairfax, VA~22030, USA",
}

@Article{int:Nash3,
  author =       "S. G. Nash and A. Sofer",
  title =        "A barrier method for large--scale constrained
                 optimization",
  journal =      "ORSA Journal on Computing",
  volume =       "5",
  year =         "1993",
  pages =        "40--53",
}

@TechReport{int:Nazareth1,
  author =       "J. L. Nazareth",
  title =        "Karmarkar's method and homotopies with restart",
  type =         "{CDSS Report}",
  year =         "1985",
  institution =  "University of California",
  address =      "Berkeley, CA~94720, USA",
}

@Article{int:Nazareth2,
  author =       "J. L. Nazareth",
  title =        "Homotopy techniques in linear programming",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "529--535",
}

@InCollection{int:Nazareth3,
  author =       "J. L. Nazareth",
  title =        "Pricing criteria in linear programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "105--130",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@Article{int:Nazareth4,
  author =       "J. L. Nazareth",
  title =        "Some parallels in the historical development of the
                 simplex and interior point methods for linear
                 programming",
  journal =      "{Mathematics Notes from Washington State University}",
  volume =       "33",
  number =       "1",
  year =         "1990",
  month =        jan,
}

@Article{int:Nazareth5,
  author =       "J. L. Nazareth",
  title =        "The homotopy principle and algorithms for linear
                 programming",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  number =       "3",
  year =         "1991",
  pages =        "316--332",
}

@TechReport{int:Nazareth6,
  author =       "J. L. Nazareth",
  title =        "The implementation of linear programming algorithms
                 based on homotopies",
  type =         "{Technical Report}",
  number =       "91--6",
  year =         "1991",
  month =        oct,
  institution =  "Dept.\ of Pure and Applied Mathematics, Washington
                 State University",
  address =      "Pullman, WA~99164--3113, USA",
}

@TechReport{int:Nazareth7,
  author =       "J. L. Nazareth",
  title =        "Quadratic and conic approximating models in linear
                 programming",
  type =         "{Technical Report}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Pure and Applied Mathematics, Washington
                 State University",
  address =      "Pullman, WA~99164--3113, USA",
  note =         "Revised October 1992. To appear in {\em COAL Bulletin,
                 Spring 1993}",
}

@TechReport{int:Nazareth8,
  author =       "J. L. Nazareth",
  title =        "The duality principle and algorithms for linear
                 programming~:~{A} unified approach based on quadratic
                 and conic approximating models",
  type =         "{Technical Report}",
  year =         "1991",
  month =        jun,
  institution =  "Dept.\ of Pure and Applied Mathematics, Washington
                 State University",
  address =      "Pullman, WA~99164--3113, USA",
}

@Article{int:Nazareth9,
  author =       "J. L. Nazareth",
  title =        "From {Dikin} to {Karmarkar} via scalings, models and
                 trust regions",
  journal =      "SIAG/OPT Views--and--News, A Forum for the SIAM
                 Activity Group on Optimization",
  volume =       "1",
  year =         "1993",
}

@TechReport{int:Nazareth10,
  author =       "J. L. Nazareth",
  title =        "Trust regions based on conic functions in linear and
                 nonlinear programming",
  type =         "{Technical Report}",
  year =         "1992",
  month =        oct,
  institution =  "Dept.\ of Pure and Applied Mathematics, Washington
                 State University",
  address =      "Pullman, WA~99164--3113, USA",
  note =         "Submitted to {\em Journal on Numerical Linear Algebra
                 and Applications}",
}

@InBook{int:Nemhauser1,
  author =       "G. L. Nemhauser and L. A. Wolsey",
  title =        "Integer and Combinatorial Optimization",
  chapter =      "I.6.4~: {A} projective algorithm for linear
                 programming",
  pages =        "164--172",
  publisher =    "John Wiley \& Sons",
  address =      "New York",
  year =         "1988",
}

@Article{int:Nemirovskiy1,
  author =       "A. S. Nemirovskiy",
  title =        "An algorithm of the {K}armarkar type",
  journal =      "Teknicheskaya Kibernetika",
  volume =       "1",
  year =         "1987",
  pages =        "105--118",
  note =         "Translated in~: {\em Soviet Journal on Computers and
                 System Sciences}, 25(5):61--74, 1987",
}

@Article{int:Nemirovskiy2,
  author =       "A. S. Nemirovskiy",
  title =        "An new polynomial algorithm for linear programming",
  journal =      "Doklady Akademii Nauk SSSR",
  volume =       "298",
  number =       "6",
  year =         "1988",
  pages =        "1321--1325",
  note =         "Translated in~: {\em Soviet Mathematics Doklady},
                 37(1): 264--269, 1988",
}

@Article{int:Nesterov1,
  author =       "Y. E. Nesterov",
  title =        "Polynomial methods in the linear and quadratic
                 programming",
  journal =      "Teknicheskaya Kibernetika",
  volume =       "3",
  year =         "1988",
  pages =        "3--6",
  note =         "Translated in~: {\em Soviet Journal on Computers and
                 System Sciences}, 26:98--101, 1988",
}

@Article{int:Nesterov2,
  author =       "Y. E. Nesterov",
  title =        "Polynomial--time dual algorithms for linear
                 programming",
  journal =      "Kibernetika",
  volume =       "25",
  number =       "1",
  year =         "1989",
  pages =        "34--40",
  note =         "Translated in~: {\em Cybernetics}, 25(1):40--49,
                 1989",
}

@Article{int:Nesterov3,
  author =       "Y. E. Nesterov and A. S. Nemirovsky",
  title =        "Acceleration and parallelization of the
                 path--following interior point method for a linearly
                 constrained convex quadratic problem",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  number =       "4",
  year =         "1991",
  pages =        "548--564",
}

@TechReport{int:Nesterov4,
  author =       "Y. E. Nesterov and A. S. Nemirovsky",
  title =        "Self--concordant functions and polynomial--time
                 methods in convex programming",
  type =         "{Book--Preprint}",
  year =         "1989",
  institution =  "Central Economic and Mathematical Institute, USSR
                 Academy of Science",
  address =      "Moscow, USSR",
  note =         "Published in Nesterov and Nemirovsky
                 \cite{int:Nesterov5}",
}

@Book{int:Nesterov5,
  author =       "Y. E. Nesterov and A. S. Nemirovsky",
  title =        "Interior Point Polynomial Methods in Convex
                 Programming\ :\ Theory and Algorithms",
  year =         "1993",
  series =       "SIAM Publications",
  publisher =    "SIAM",
  address =      "Philadelphia, USA",
}

@TechReport{int:Nesterov6,
  author =       "Y. E. Nesterov and A. S. Nemirovsky",
  title =        "A general approach to polynolmial--time algorithms
                 design for convex programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Central Economic and Mathematical Institute, USSR
                 Academy of Science",
  address =      "Moscow, USSR",
}

@TechReport{int:Nesterov7,
  author =       "Y. E. Nesterov and A. S. Nemirovsky",
  title =        "{'Conic'} formulation of a convex programming problem
                 and duality",
  type =         "{Manuscript}",
  year =         "1991",
  institution =  "Central Economic and Mathematical Institute, USSR
                 Academy of Science",
  address =      "Moscow, USSR",
}

@TechReport{int:Nesterov8,
  author =       "Y. E. Nesterov and A. S. Nemirovsky",
  title =        "An interior point method for generalized
                 linear--fractional programming",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Central Economic and Mathematical Institute, USSR
                 Academy of Science",
  address =      "Moscow, USSR",
  note =         "Submitted to {\em Mathematical Programming}",
}

@TechReport{int:Neumann1,
  author =       "{J. von} Neumann",
  title =        "On a maximization problem",
  type =         "Manuscript",
  year =         "1947",
  institution =  "Institute for Advanced Studies, Princeton University",
  address =      "Princeton, NJ 08544, USA",
}

@Article{int:Nickel1,
  author =       "W. Nickel and W. R{\"o}dder and L. Xu and H. J.
                 Zimmermann",
  title =        "Intelligent gradient search in linear programming",
  journal =      "European Journal of Operational Research",
  volume =       "22",
  year =         "1985",
  pages =        "293--303",
}

@TechReport{int:Noma1,
  author =       "T. Noma and N. Megiddo and M. Kojima and A. Yoshise",
  title =        "Some classes of linear complementarity problems that
                 can be processed by interior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Information Science, Tokyo Institute of
                 Technology",
  address =      "2--12--1~Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
}

@TechReport{int:Noma2,
  author =       "T. Noma and M. Kojima",
  title =        "A global, convergent iterative algorithm for
                 complementarity problems",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Information Science, Tokyo Institute of
                 Technology",
  address =      "2--12--1~Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
}

@PhdThesis{int:Noma3,
  author =       "T. Noma",
  title =        "A globally convergent iterative algorithm for
                 complementarity problems~: {A} modification of interior
                 point algorithms for linear complementarity problems",
  year =         "1991",
  school =       "Dept.\ of Information Science, Tokyo Institute of
                 Technology",
  address =      "2--12--1~Oh--Okayama, Meguro--ku, Tokyo~152, Japan",
}

@MastersThesis{int:Nunez1,
  author =       "M. A. {Nunez Araya}",
  title =        "Experiments using variants of {Dikin's} ellipsoid
                 method for solving mathematical programs",
  year =         "1990",
  school =       "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Nurminskii1,
  author =       "E. A. Nurminskii and S. K. Andrusenko and P. I.
                 Stetsyuk",
  title =        "A new polynomial algorithm for linear programming",
  journal =      "Kibernetika (Kiev)",
  volume =       "4",
  year =         "1985",
  pages =        "118--120, 136",
  note =         "(In Russian, English summary)",
}

@TechReport{int:Obuchowska1,
  author =       "W. T. Obuchowska",
  title =        "Improving the rate of convergence of interior point
                 methods for smooth convex programmes",
  type =         "{Windsor Mathematics Statistics Report}",
  number =       "WMSR 93--03",
  year =         "1993",
  month =        may,
  institution =  "Dept.\ of Mathematics, University of Windsor",
  address =      "Windsor, Ontario, Canada~N9B\,3P4",
}

@Article{int:Oestermark1,
  author =       "R. {\"O}stermark",
  title =        "Solving a linear multi--period portfolio problem by
                 interior--point methodology",
  journal =      "Computer Science in Economics and Management",
  volume =       "5",
  year =         "1992",
  pages =        "283--302",
}

@InCollection{int:Oohori1,
  author =       "T. Oohori and A. Ohuchi",
  title =        "Symbolic generation of an optimal {K}armarkar's
                 algorithm for sparse linear programs",
  booktitle =    "System Modelling and Optimization~: Proceedings of the
                 14th IFIP--Confernce, Leipzig, East--Germany, July
                 1989",
  editor =       "H. J. Sebastian and K. Tammer",
  year =         "1990",
  pages =        "194--203",
  series =       "Lecture Notes in Control and Information Science",
  volume =       "143",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@Article{int:Osborne1,
  author =       "M. R. Osborne",
  title =        "Dual barrier functions with superfast rates of
                 convergence for the linear programming problem",
  journal =      "Journal of the Australian Mathematical Society,
                 Ser.~B",
  volume =       "29",
  year =         "1987",
  pages =        "39--58",
}

@Article{int:Osborne2,
  author =       "M. R. Osborne",
  title =        "An interior point method for linear programming",
  journal =      "Journal of the Australian Mathematical Society,
                 Ser.~B",
  volume =       "31",
  year =         "1990",
  pages =        "367--378",
}

@TechReport{int:Padberg1,
  author =       "M. W. Padberg",
  title =        "Solution of a nonlinear programming problem arising in
                 the projective method for linear programming",
  type =         "{Technical Report}",
  year =         "1985",
  month =        mar,
  institution =  "School of Business and Administration, New York
                 University",
  address =      "New York, NY~10003, USA",
  note =         "To appear in {\em SIAM Journal on Control and
                 Optimization}",
}

@Article{int:Padberg2,
  author =       "M. W. Padberg",
  title =        "A different convergence proof of the projective method
                 for linear programming",
  journal =      "Operations Research Letters",
  volume =       "4",
  year =         "1986",
  pages =        "253--257",
}

@TechReport{int:Pai1,
  author =       "R. Pai and N. K. Karmarkar and {S. S.} S. P. Rao",
  title =        "A global router based on {K}armarkar's interior point
                 method",
  type =         "{CSE Technical Report}",
  year =         "1988",
  month =        apr,
  institution =  "Indian Institute of Technology",
  address =      "Bombay, India",
}

@Article{int:Pan1,
  author =       "V. Pan",
  title =        "The modified barrier function method for linear
                 programming and its extension",
  journal =      "Computers and Mathematics with Applications",
  volume =       "20",
  number =       "3",
  year =         "1990",
  pages =        "1--14",
}

@Article{int:Pan2,
  author =       "V. Pan and J. Reif",
  title =        "Efficient parallel linear programming",
  journal =      "Operations Research Letters",
  volume =       "5",
  year =         "1986",
  pages =        "127--135",
}

@Article{int:Pan3,
  author =       "V. Pan and J. Reif",
  title =        "Fast and efficient linear programming and linear
                 least--squares computations",
  journal =      "Computers and Mathematics with Applications Ser.~A",
  volume =       "12",
  year =         "1986",
  pages =        "1217--1227",
}

@TechReport{int:Pardalos1,
  author =       "P. M. Pardalos",
  title =        "Interior point algorithms for nonconvex quadratic
                 problems",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Dept.\ of Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@TechReport{int:Pardalos2,
  author =       "P. M. Pardalos and C. G. Han and Y. Ye",
  title =        "Computational aspects of an interior point algorithm
                 for quadratic problems with box constraints",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Dept.\ of Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@TechReport{int:Pardalos3,
  author =       "P. M. Pardalos and Y. Ye and C. G. Han",
  title =        "Parallel computing in quadratic programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@Article{int:Pardalos4,
  author =       "P. M. Pardalos and Y. Ye and C. G. Han",
  title =        "Algorithms for the solution of quadratic knapsack
                 problems",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "69--91",
}

@InCollection{int:Pardalos5,
  author =       "P. M. Pardalos and Y. Ye and C. G. Han",
  title =        "An interior point algorithm for large--scale quadratic
                 problems with box constraints",
  booktitle =    "Analysis and Optimization of Systems~: Proceedings of
                 the 9th International Conference, Antibes, France,
                 1990",
  editor =       "A. Bensoussan and J. L. Lions",
  year =         "1990",
  pages =        "413--422",
  series =       "Lecture Notes in in Control and Information Science",
  volume =       "144",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@Article{int:Pardalos6,
  author =       "P. M. Pardalos",
  title =        "Polynomial time algorithms for some classes of
                 constrained nonconvex quadratic problems",
  journal =      "Optimization",
  volume =       "21",
  year =         "1990",
  pages =        "843--853",
}

@TechReport{int:Pardalos7,
  author =       "P. M. Pardalos and C. G. Han and J. A. Kaliski and Y.
                 Ye",
  title =        "Solution of quadratic programming and linear
                 complementarity problems using a potential reduction
                 algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
}

@TechReport{int:Pardalos8,
  author =       "P. M. Pardalos and Y. Ye and C. G. Han and J. A.
                 Kaliski",
  title =        "Solution of {$P_{0}$}--matrix linear complementarity
                 problems using a potential reduction algorithm",
  type =         "{Technical Report}",
  number =       "CS--90--32",
  year =         "1990",
  institution =  "Dept.\ of Computer Science, Pennsylvania State
                 University",
  address =      "University Park, PA~16802, USA",
  note =         "To appear in {\em SIAM Journal on Matrix Analysis and
                 Applications, 1991}",
}

@Article{int:Pardalos9,
  author =       "P. M. Pardalos and C. G. Han and Y. Ye",
  title =        "Interior--point algorithms for solving nonlinear
                 optimization problems",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "45--54",
}

@Article{int:Paris1,
  author =       "Q. Paris",
  title =        "A primer on {K}armarkar's algorithm for linear
                 programming",
  journal =      "METU Studies in Develpoment",
  volume =       "12",
  number =       "1--2",
  year =         "1985",
  pages =        "131--155",
}

@Article{int:Parisot1,
  author =       "G. R. Parisot",
  title =        "Resolution numerique approchee du probleme de
                 programmation lineaire par application de la
                 programmation logarithmique {(Approximate numerical
                 solution of linear programming problems by an
                 application of the logarithmic programming)}",
  journal =      "Revue Francaise Recherche Operationelle",
  volume =       "20",
  year =         "1961",
  pages =        "227--259",
  note =         "(In French)",
}

@InBook{int:Parker1,
  author =       "R. G. Parker and R. L. Rardin",
  title =        "Discrete Optimization",
  chapter =      "4.1.3~: {K}armarkar's projection scaling algorithm",
  year =         "1988",
  pages =        "117--131",
  publisher =    "Academic Press",
  address =      "New York, NY, USA",
}

@Article{int:Philpott1,
  author =       "A. B. Philpott",
  title =        "Linear programming made simpler than simplex",
  journal =      "New Scientist",
  year =         "1984",
  month =        dec # " 6,",
  pages =        "20",
}

@TechReport{int:Pickel1,
  author =       "P. F. Pickel",
  title =        "Approximate projections for the {K}armarkar
                 algorithm",
  type =         "Manuscript",
  year =         "1985",
  institution =  "Polytechnic Institute of New York",
  address =      "Farmingdale, NY, USA",
}

@TechReport{int:Pickel2,
  author =       "P. F. Pickel",
  title =        "Implementing the {K}armarkar algorithm using simplex
                 techniques",
  type =         "{Talk held at the 12th International Symposium on
                 Mathematical Programming in Cambridge, MA, USA}",
  year =         "1985",
  institution =  "Polytechnic Institute of New York",
  address =      "Farmingdale, NY, USA",
}

@TechReport{int:Pickel3,
  author =       "P. F. Pickel",
  title =        "Preliminary computational experience with approximate
                 projections in the {K}armarkar algorithm",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Polytechnic Institute of New York",
  address =      "Farmingdale, NY, USA",
}

@Article{int:Polak1,
  author =       "E. Polak and J. E. Higgins and D. Q. Mayne",
  title =        "A barrier function method for minimax problems",
  journal =      "Mathematical Programming",
  volume =       "54",
  year =         "1992",
  pages =        "155--176",
}

@InCollection{int:Polak2,
  author =       "E. Polak and T. H. Yang and D. Q. Mayne",
  title =        "A method of centers based on barrier functions for
                 solving optimal control problems with continuum state
                 and control constraints",
  booktitle =    "Proceedings of the 29th Conference on Decision and
                 Control",
  year =         "1990",
  month =        dec,
  pages =        "2327--2332",
  publisher =    "IEEE Control Society",
}

@TechReport{int:Polyak1,
  author =       "R. Polyak",
  title =        "Modified interior distance functions as augmented
                 Lagrangians",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak2,
  author =       "R. Polyak",
  title =        "Interior point methods, nonlinear and parallel
                 optimization",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@Article{int:Polyak3,
  author =       "R. Polyak",
  title =        "Modified barrier functions (theory and methods)",
  journal =      "Mathematical Programming",
  volume =       "54",
  year =         "1992",
  pages =        "177--222",
}

@TechReport{int:Polyak4,
  author =       "R. Polyak",
  title =        "Modified barrier functions in linear programming",
  type =         "{Research Report}",
  number =       "17790~(78331)",
  year =         "1992",
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak5,
  author =       "R. Polyak",
  title =        "The nonlinear rescaling principle in linear
                 programming",
  type =         "{Technical Report}",
  number =       "RC~15030~(67093)",
  year =         "1989",
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@Article{int:Polyak6,
  author =       "R. Polyak",
  title =        "Modified barrier and center methods",
  journal =      "Reports from the Moscow Refusnik Seminar, Annals of
                 the New York Academy of Sciences",
  volume =       "491",
  year =         "1987",
  pages =        "194--196",
}

@TechReport{int:Polyak7,
  author =       "R. Polyak and R. R. Schneur",
  title =        "Interior--exterior augmented {Lagrangian} approach for
                 {LP}",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak8,
  author =       "R. Polyak",
  title =        "Modified interior distance functions and center
                 methods",
  type =         "{Research Report}",
  number =       "17042~(75556)",
  year =         "1991",
  institution =  "IBM Research Division T.~J.~Watson Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak9,
  author =       "R. Polyak",
  title =        "Classical Lagrangians with properties of the augmented
                 Lagrangians",
  type =         "{Talk held at the 12th International Symposium on
                 Mathematical Programming in Boston, MA, USA}",
  year =         "1985",
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak10,
  author =       "R. Polyak",
  title =        "Monotone transformation in linear and nonlinear
                 programming",
  type =         "{Talk held at the Summer Conference ''Mathematical
                 Developments Arising from Linear Programming'' in
                 Bowdoin College, Brunswick, Maine, USA}",
  year =         "1988",
  month =        jun,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak11,
  author =       "R. Polyak",
  title =        "Modified interior centers methods",
  type =         "{Talk held at the Third SIAM Conference on
                 Optimization in Boston, MA, USA}",
  year =         "1989",
  month =        apr,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak12,
  author =       "R. Polyak",
  title =        "Simultaneuos solution of the dual pair of nonlinear
                 programming problems based on the modified barrier
                 function",
  type =         "{Talk held at the SIAM Annual Meeting in San Diego,
                 CA, USA}",
  year =         "1989",
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak13,
  author =       "R. Polyak",
  title =        "Nonlinear rescaling principle in constrained
                 optimization",
  type =         "{Talk held at the International Congress of
                 Mathematicians in Kyoto, Japan}",
  year =         "1990",
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak14,
  author =       "R. Polyak",
  title =        "Interior augmented Lagrangians",
  type =         "{Talk held at the 14th International Symposium on
                 Mathematical Programming in Amsterdam, The
                 Netherlands}",
  year =         "1991",
  month =        aug,
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@TechReport{int:Polyak15,
  author =       "R. Polyak",
  title =        "Condition of the primal and dual linear programming
                 problems",
  type =         "{Talk held at the International Workshop on
                 Computational Optimization in Haifa, Israel}",
  year =         "1992",
  institution =  "Mathematical Sciences Department, IBM~T.~J.~Watson
                 Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
}

@InCollection{int:Polyak16,
  author =       "R. Polyak",
  title =        "Newton modified barrier method in constrained
                 optimization",
  booktitle =    "Proceedings of the Air Force/NASA Symposium on Recent
                 Advances in Multidisciplinary Analysis and
                 Optimization, San Francisco, 1990",
  year =         "1990",
}

@TechReport{int:Polyak17,
  author =       "R. Polyak",
  title =        "Modified barrier functions as augmented Lagrangians",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Viniti",
  address =      "Moscow",
  note =         "(In Russian)",
}

@TechReport{int:Polyak18,
  author =       "R. Polyak",
  title =        "Exterior and interior modified distance functions",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Viniti",
  address =      "Moscow",
  note =         "(In Russian)",
}

@TechReport{int:Polyak19,
  author =       "R. Polyak",
  title =        "Some problems of modern optimization theory and
                 multipliers methods",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Znania",
  address =      "Kiev",
  note =         "(In Russian)",
}

@PhdThesis{int:Ponceleon1,
  author =       "D. B. Ponceleon",
  title =        "Barrier methods for large--scale quadratic
                 programming",
  year =         "1990",
  school =       "Computer Science Department, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ponceleon2,
  author =       "D. B. Ponceleon",
  title =        "Barrier methods for large--scale quadratic
                 programming",
  type =         "{Technical Report}",
  number =       "SOL~91--2",
  year =         "1991",
  month =        jun,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ponnambalam1,
  author =       "K. Ponnambalam",
  title =        "Large scale nonlinear programming using interior point
                 and successive linear programming methods",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@TechReport{int:Ponnambalam2,
  author =       "K. Ponnambalam and A. Vannelli",
  title =        "New starting and stopping steps for the dual affine
                 variant of {K}armarkar's method",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@TechReport{int:Ponnambalam3,
  author =       "K. Ponnambalam and A. Vannelli",
  title =        "An inexpensive basis recovery procedure for
                 {K}armarkar's dual affine method",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@Article{int:Ponnambalam4,
  author =       "K. Ponnambalam and A. Vannelli and T. E. Unny",
  title =        "An application of {K}armarkar's interior point linear
                 programming algorithm for multi--reservoir operations
                 optimization",
  journal =      "Stochastic Hydrology and Hydraulics",
  volume =       "3",
  year =         "1992",
  pages =        "17--29",
}

@TechReport{int:Ponnambalam5,
  author =       "K. Ponnambalam",
  title =        "An interior point algorithm for large scale nonlinear
                 programming",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@InCollection{int:Ponnambalam6,
  author =       "K. Ponnambalam and S. Seetharaman and T. Alguindigue",
  title =        "Affine algorithms for {$L$}--minimization",
  booktitle =    "Proceedings of the Sixth Multidimensional Signal
                 Processing Workshop held in Pacific Grove, CA, USA,
                 September 1989",
  year =         "1989",
  pages =        "115",
  publisher =    "IEEE",
  address =      "New York, NY, USA",
}

@Article{int:Ponnambalam7,
  author =       "K. Ponnambalam and A. Vannelli and S. Woo",
  title =        "An interior point method implementation for solving
                 large planning problems in the oil refinery industry",
  journal =      "Canadian Journal of Chemical Engineering",
  volume =       "70",
  year =         "1992",
  pages =        "368--374",
}

@InCollection{int:Ponnambalam8,
  author =       "K. Ponnambalam and A. Vannelli and E. A. McBean and T.
                 E. Unny",
  title =        "Solving large--scale electric energy production
                 planning and pollution control problems with
                 {Karmarkar} algorithms",
  booktitle =    "Proceedings of the Workshop on Resource Planning Under
                 Uncertainty for Electric Power Systems held at Stanford
                 University, January 1989",
  editor =       "G. B. Dantzig and P. Glynn",
  year =         "1989",
  pages =        "179--196",
}

@InCollection{int:Ponnambalam9,
  author =       "K. Ponnambalam and A. Vannelli",
  title =        "Forcing a vertex optimal solution in interior point
                 methods using an auxiliary function",
  booktitle =    "Symposium on Applied Mathematical Programming and
                 Modeling (APMOD '93), Budapest, Hungary, January 1993,
                 Volume of Extended Abstracts",
  editor =       "I. Maros",
  year =         "1992",
  month =        dec,
  pages =        "463--470",
  publisher =    "Computer and Automation Institute, Hungarian Academy
                 of Sciences",
  address =      "Budapest, Hungary",
}

@TechReport{int:Ponnambalam10,
  author =       "K. Ponnambalam",
  title =        "An interior point algorithm for large scale nonlinear
                 programming",
  type =         "{Technical Report}",
  year =         "1992",
  institution =  "Dept.\ of Systems Design Engineering, University of
                 Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@TechReport{int:Poore1,
  author =       "A. B. Poore and D. Soria",
  title =        "Continuation algorithms for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New Orleans, USA}",
  year =         "1987",
  month =        may,
  institution =  "Dept.\ of Mathematics, Colorado State University",
  address =      "Fort Collins, CO~80253, USA",
}

@TechReport{int:Potra1,
  author =       "F. A. Potra and Y. Ye",
  title =        "Interior point methods for nonlinear complementarity
                 problems",
  type =         "{Reports on Computational Mathematics}",
  number =       "15",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@InCollection{int:Potra2,
  author =       "F. A. Potra",
  title =        "Implementation of interior point methods on parallel
                 and vector machines",
  booktitle =    "Operations Research '91 (Extended Abstracts of the
                 16th Symposium on Operations Research held at the
                 University of Trier, Germany, September 1991)",
  editor =       "P. Gritzmann and R. Hettich and R. Horst and E.
                 Sachs",
  year =         "1992",
  pages =        "179--181",
  publisher =    "Springer Verlag",
  address =      "Berlin, Germany",
}

@TechReport{int:Potra3,
  author =       "F. A. Potra and R. A. Tapia and Y. Zhang",
  title =        "An interior--point method for linear complementarity
                 problems with polynomial complexity and superlinear
                 convergence",
  type =         "{Technical Report}",
  number =       "TR~91--23",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Potra4,
  author =       "F. A. Potra",
  title =        "Polynomial complexity versus fast local convergence
                 for interior point methods",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Management Sciences, The University of
                 Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Potra5,
  author =       "F. A. Potra and Y. Ye",
  title =        "An interior--point algorithm for solving entropy
                 optimization problems with globally linear and locally
                 quadratic convergence",
  type =         "{Working Paper}",
  number =       "90--10",
  year =         "1990",
  institution =  "Dept.\ of Management Sciences, The University of
                 Iowa",
  address =      "Iowa City, IA~52242, USA",
  note =         "To appear in {\em SIAM Journal on Optimization}",
}

@TechReport{int:Potra6,
  author =       "F. A. Potra",
  title =        "An infeasible interior--point predictor--corrector
                 algorithm for linear programming",
  type =         "{Reports on Computational Mathematics}",
  number =       "26",
  year =         "1992",
  month =        jun,
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Potra7,
  author =       "F. A. Potra",
  title =        "A quadratically convergent infeasible interior--point
                 algorithm for linear programming",
  type =         "{Reports on Computational Mathematics}",
  number =       "28",
  year =         "1992",
  month =        jul,
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Potra8,
  author =       "F. A. Potra",
  title =        "On a predictor--corrector method for solving linear
                 programs from infeasible starting points",
  type =         "{Reports on Computational Mathematics}",
  number =       "34",
  year =         "1992",
  month =        oct,
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Potra9,
  author =       "F. A. Potra and Y. Shi",
  title =        "On an efficient interior point method for solving
                 entropy optimization problems",
  type =         "{Reports on Computational Mathematics}",
  number =       "23",
  year =         "1991",
  month =        dec,
  institution =  "Dept.\ of Mathematics, The University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Powell1,
  author =       "M. J. D. Powell",
  title =        "Is {K}armarkar's method suitable for semi--infinite
                 programming~?",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Dept.\ of Applied Mathematics and Theoretical Physics,
                 University of Cambridge",
  address =      "Silver Street, Cambridge~CB3~9EW, UK",
  note =         "There is no underlying report",
}

@Article{int:Powell2,
  author =       "M. J. D. Powell",
  title =        "Karmarkar's algorithm~: {A} view from nonlinear
                 programming",
  journal =      "Bulletin of the Institute of Mathematics and Its
                 Applications",
  volume =       "26",
  number =       "8--9",
  year =         "1990",
  pages =        "165--181",
}

@InCollection{int:Powell3,
  author =       "M. J. D. Powell",
  title =        "The complexity of {Karmarkar's} algorithm for linear
                 programming",
  booktitle =    "Numerical Analysis 1991",
  editor =       "D. F. Griffiths and G. A. Watson",
  year =         "1992",
  pages =        "142--163",
  series =       "Pitman Research Notes in Mathematics",
  volume =       "260",
  publisher =    "Longman",
  address =      "Burnt Hill, UK",
}

@TechReport{int:Powell4,
  author =       "M. J. D. Powell",
  title =        "On the number of iterations of {Karmarkar's} algorithm
                 for linear programming",
  type =         "{Technical Report}",
  number =       "DAMTP~1991/NA23",
  year =         "1991",
  month =        dec,
  institution =  "Dept.\ of Applied Mathematics and Theoretical Physics,
                 University of Cambridge",
  address =      "Silver Street, Cambridge~CB3~9EW, UK",
}

@InCollection{int:Powell5,
  author =       "M. J. D. Powell",
  title =        "Interior point methods for semi--infinite programming
                 calculations",
  booktitle =    "Optimization~1 (Proceedings of the International
                 Conference (ICOTA) held in Singapore 1992)",
  editor =       "K. H. Phua and C. M. Wang and W. Y. Yeong",
  year =         "1992",
  pages =        "3--5",
  publisher =    "World Science Publishing",
  address =      "River Edge, NJ, USA",
}

@TechReport{int:Powell6,
  author =       "M. J. D. Powell",
  title =        "Some convergence properties of the shifted log barrier
                 method for linear programming",
  type =         "{Technical Report}",
  number =       "DAMTP~1992/NA7",
  year =         "1992",
  month =        nov,
  institution =  "Dept.\ of Applied Mathematics and Theoretical Physics,
                 University of Cambridge",
  address =      "Silver Street, Cambridge~CB3~9EW, UK",
}

@TechReport{int:Powell7,
  author =       "M. J. D. Powell",
  title =        "Log barrier methods for semi--infinite programming
                 calculations",
  type =         "{Technical Report}",
  number =       "DAMTP~1992/NA11",
  year =         "1992",
  month =        dec,
  institution =  "Dept.\ of Applied Mathematics and Theoretical Physics,
                 University of Cambridge",
  address =      "Silver Street, Cambridge~CB3~9EW, UK",
}

@TechReport{int:Puthenpura1,
  author =       "S. Puthenpura and R. Saigal and L. P. Sinha",
  title =        "Application of the {LQ} factorization in implementing
                 the {Karmarkar} algorithm and its variants",
  type =         "{Technical Memorandum}",
  number =       "51173--900205--01TM",
  year =         "1990",
  institution =  "AT \& T Bell Laboratories",
}

@Article{int:Puzanova1,
  author =       "E. A. Puzanova",
  title =        "Allowance for error in computer computations in the
                 {K}armarkar method",
  journal =      "Optimizatsiya",
  volume =       "46",
  number =       "63",
  year =         "1989",
  pages =        "51--67",
  note =         "(In Russian)",
}

@Article{int:Quintana1,
  author =       "V. H. Quintana and A. Vannelli and K. Ponnambalam",
  title =        "A fast dual affine implementation for power
                 optimization",
  journal =      "IEEE Transactions on Power Systems",
  volume =       "7",
  year =         "1992",
  pages =        "892--899",
}

@InCollection{int:Radosavljevic1,
  author =       "M. D. Radosavljevic--Nicolic",
  title =        "Asymptotic behavior of the affine scaling variant of
                 {K}armarkar's algorithm for linear programming",
  booktitle =    "Proceedings of the XX--th Conference 'Mathematical
                 Optimization', Humboldt Universit{\"a}t Berlin,
                 East--Germany",
  year =         "1990",
}

@Article{int:Rajasekera1,
  author =       "J. R. Rajasekera and S. C. Fang",
  title =        "On the convex programming approach to linear
                 programming",
  journal =      "Operations Research Letters",
  volume =       "10",
  year =         "1991",
  pages =        "309--312",
}

@Article{int:Rajasekera2,
  author =       "J. R. Rajasekera and S. C. Fang",
  title =        "Deriving an unconstrained convex program for linear
                 programming",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "75",
  number =       "3",
  year =         "1992",
  pages =        "603--612",
}

@TechReport{int:Ralph1,
  author =       "D. Ralph",
  title =        "An affine--scaling, nonsmooth {Newton} hybrid method
                 for constrained optimization",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Rendl1,
  author =       "F. Rendl and R. J. Vanderbei and H. Wolkowicz",
  title =        "Interior--point methods for max--min eigenvalue
                 problems",
  type =         "{Technical Report}",
  number =       "SOR--93--15",
  year =         "1993",
  month =        jul,
  institution =  "Program in Statistics \& Operations Research, Dept.\
                 of Civil Engineering and Operations Research, Princeton
                 University",
  address =      "Princeton, NJ~08544, USA",
}

@Article{int:Renegar1,
  author =       "J. Renegar",
  title =        "A polynomial--time algorithm, based on {N}ewton's
                 method, for linear programming",
  journal =      "Mathematical Programming",
  volume =       "40",
  year =         "1988",
  pages =        "59--93",
}

@TechReport{int:Renegar2,
  author =       "J. Renegar",
  title =        "Path--following methods in linear programming",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Renegar3,
  author =       "J. Renegar and M. Shub",
  title =        "Simplified complexity analysis for {Newton LP}
                 methods",
  type =         "{Technical Report}",
  number =       "807",
  year =         "1988",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@Article{int:Renegar4,
  author =       "J. Renegar and M. Shub",
  title =        "Unified complexity analysis for {Newton LP} methods",
  journal =      "Mathematical Programming",
  volume =       "53",
  year =         "1992",
  pages =        "1--16",
}

@InCollection{int:Renegar5,
  author =       "J. Renegar",
  title =        "Computational complexity of solving real algebraic
                 formulae",
  booktitle =    "Proceedings of the International Congress of
                 Mathematicians, Kyoto, Japan, 1990",
  editor =       "I. Satake",
  year =         "1991",
  pages =        "1595--1606",
  publisher =    "Springer Verlag",
  address =      "Berlin, Germany",
}

@TechReport{int:Resende1,
  author =       "M. G. C. Resende",
  title =        "A generalized quadratic form potential for an interior
                 point algorithm for integer programming",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T~Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@TechReport{int:Resende2,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "An implementation of the dual affine scaling algorithm
                 for network flow problems",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@Article{int:Resende3,
  author =       "M. G. C. Resende and M. H. Wright",
  title =        "Sixty--six attend interior methods workshop at
                 {A}silomar",
  journal =      "SIAM News",
  volume =       "23",
  number =       "3",
  year =         "1990",
  month =        may,
  pages =        "9",
}

@TechReport{int:Resende4,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "A dual affine scaling algorithm for network flows",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@TechReport{int:Resende5,
  author =       "M. G. C. Resende and N. K. Karmarkar and A. P. Kamath
                 and K. G. Ramakrishnan",
  title =        "An interior point approach to graph partitioning",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@TechReport{int:Resende6,
  author =       "M. G. C. Resende and G. Veiga and I. Adler",
  title =        "Experimentation with interior point implementations",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@TechReport{int:Resende7,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "A dual affine scaling algorithm for minimum cost
                 network flow problems",
  type =         "{Technical Report}",
  number =       "1.3",
  year =         "1990",
  month =        nov,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
  note =         "Revised February 1991",
}

@TechReport{int:Resende8,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "Computational investigation of an interior point
                 linear programming algorithm for minimum cost network
                 flow",
  type =         "{Technical Report}",
  number =       "1.0",
  year =         "1991",
  month =        aug,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@TechReport{int:Resende9,
  author =       "M. G. C. Resende and A. P. Kamath and N. K. Karmarkar
                 and K. G. Ramakrishnan",
  title =        "Mathematical programming approach to inductive
                 inference",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@TechReport{int:Resende10,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "Fast solution of network flow problems with a network
                 interior point code",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@TechReport{int:Resende11,
  author =       "M. G. C. Resende and A. P. Kamath and N. K. Karmarkar
                 and K. G. Ramakrishnan",
  title =        "An interior point approach to boolean vector
                 function",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@TechReport{int:Resende12,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "An efficient implementation of a network interior
                 point method",
  type =         "{Technical Report}",
  year =         "1992",
  month =        feb,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
  note =         "Revised March 1992. Revised version 2.0 August 1992.
                 To appear in {\em DIMACS Series in Discrete Mathematics
                 and Theoretical Computer Science}",
}

@TechReport{int:Resende13,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "An implementation of the dual affine scaling algorithm
                 for minimum cost flow on bipartite uncapicitated
                 networks",
  type =         "{Technical Report}",
  year =         "1992",
  month =        mar,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
  note =         "To appear in {\em SIAM Journal on Optimization}",
}

@TechReport{int:Resende14,
  author =       "M. G. C. Resende and G. Veiga",
  title =        "Computational study of two implementations of the dual
                 affine scaling algorithm",
  type =         "{Technical Report}",
  year =         "1992",
  month =        jan,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@TechReport{int:Resende15,
  author =       "M. G. C. Resende and T. Tsuchiya and G. Veiga",
  title =        "Identifying the optimal face of a network linear
                 program with a globally convergent interior point
                 method",
  type =         "{Technical Report}",
  year =         "1993",
  month =        jun,
  institution =  "Mathematical Sciences Research Center, AT~\&~T Bell
                 Laboratories",
  address =      "Murray Hill, NJ~07974--0636, USA",
}

@InBook{int:Richter1,
  author =       "C. Richter",
  title =        "{Optimierungsverfahren und BASIC--Programme
                 (Optimization Methods and BASIC--Programs)}",
  chapter =      "2.3.2~: {Das Projektionsverfahren von Karmarkar (The
                 projection method of Karmarkar), pages 47--50, P.2.4.~:
                 Projektionsverfahren, BASIC--Programm}",
  year =         "1988",
  pages =        "123--124",
  publisher =    "Akademie Verlag",
  address =      "D--1000 Berlin, Germany",
  note =         "(In German)",
}

@Article{int:Rinaldi1,
  author =       "G. Rinaldi",
  title =        "A projective method for linear programming with
                 box--type constraints",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "517--527",
}

@Article{int:Rockett1,
  author =       "A. M. Rockett and J. C. Stevenson",
  title =        "{K}armarkar's algorithm~: {A} method for solving large
                 linear programming",
  journal =      "BYTE",
  volume =       "12",
  number =       "10",
  year =         "1987",
  pages =        "146--162",
}

@Article{int:Roehrkasse1,
  author =       "R. Roehrkasse",
  title =        "Linear programming and {Operations Research}",
  journal =      "IEEE Potentials",
  volume =       "9",
  number =       "4",
  year =         "1990",
  month =        dec,
  pages =        "39--40",
}

@TechReport{int:Roos1,
  author =       "C. Roos",
  title =        "On {K}armarkar's projective method for linear
                 programming",
  type =         "{Technical Report}",
  number =       "85--23",
  year =         "1985",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos2,
  author =       "C. Roos",
  title =        "Linear programming along the trajectory of the
                 problem",
  type =         "{Technical Report}",
  number =       "87--41",
  year =         "1987",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos3,
  author =       "C. Roos",
  title =        "On the trajectory of a linear programming problem",
  type =         "{Technical Report}",
  number =       "87--53",
  year =         "1987",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos4,
  author =       "C. Roos",
  title =        "A new trajectory--following polynomial--time algorithm
                 for the linear programming problem",
  type =         "{Technical Report}",
  number =       "87--87",
  year =         "1987",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos5,
  author =       "C. Roos",
  title =        "Linear programming along the trajectory of the problem
                 in polynomial time",
  type =         "{Technical Report}",
  number =       "88--17",
  year =         "1988",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos6,
  author =       "C. Roos",
  title =        "The influence of the potential function on the
                 performance of a trajectory following algorithm for the
                 linear programming problem",
  type =         "{Technical Report}",
  number =       "88--44",
  year =         "1988",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@Article{int:Roos7,
  author =       "C. Roos",
  title =        "New trajectory--following polynomial--time algorithm
                 for linear programming problems",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "63",
  year =         "1989",
  pages =        "433--458",
}

@InCollection{int:Roos8,
  author =       "C. Roos",
  title =        "An ${O(n^{3}L)}$ approximate center method for linear
                 programming",
  booktitle =    "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  editor =       "S. Dolecki",
  year =         "1989",
  pages =        "147--158",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@TechReport{int:Roos9,
  author =       "C. Roos",
  title =        "Polynomial--time algorithms for linear programming
                 based on the use of the logarithmic barrier penalty
                 function",
  type =         "{Talk held at the 14th Conference on the Mathematics
                 of Operations Research in Dalfsen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos10,
  author =       "C. Roos",
  title =        "A potential reduction method for a class of a smooth
                 convex programming problem",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos11,
  author =       "C. Roos and {D. den} Hertog",
  title =        "A polynomial method of approximate weighted centers
                 for linear programming",
  type =         "{Technical Report}",
  number =       "89--13",
  year =         "1989",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@Article{int:Roos12,
  author =       "C. Roos and J. P. Vial",
  title =        "A polynomial method of approximate centers for linear
                 programming",
  journal =      "Mathematical Programming",
  volume =       "54",
  year =         "1992",
  pages =        "295--305",
}

@TechReport{int:Roos13,
  author =       "C. Roos and J. P. Vial",
  title =        "Analytic centers in linear programming",
  type =         "{Technical Report}",
  number =       "88--74",
  year =         "1988",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@InCollection{int:Roos14,
  author =       "C. Roos and J. P. Vial",
  title =        "Long steps with the logarithmic penalty barrier
                 function in linear programming",
  booktitle =    "Economic Decision--Making~: Games, Economics and
                 Optimization, dedicated to J. H. Dreze",
  editor =       "J. Gabszevwicz and J. F. Richard and L. Wolsey",
  year =         "1989",
  pages =        "433--441",
  publisher =    "Elsevier Science Publisher B.V.",
  address =      "Amsterdam, The Netherlands",
}

@TechReport{int:Roos15,
  author =       "C. Roos",
  title =        "A pivoting rule of the simplex method which is related
                 to {K}armarkar's potential function",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@TechReport{int:Roos16,
  author =       "C. Roos",
  title =        "A projective variant of the approximate center method
                 for linear programming",
  type =         "{Technical Report}",
  number =       "90--83",
  year =         "1990",
  institution =  "Faculty of Mathematics and Informatics, TU Delft",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@Book{int:Roos17,
  author =       "C. Roos and J. P. Vial",
  title =        "Interior Point Methods for Linear Programming~:~Theory
                 and Practice, Proceedings of the Symposium held in
                 Scheveningen, The Netherlands, January 1990",
  year =         "1991",
  series =       "Mathematical Programming",
  volume =       "52",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@InCollection{int:Roos18,
  author =       "C. Roos",
  title =        "Interior point methods for linear
                 programming~:~{T}heory, algorithms and sensitivity
                 analysis",
  booktitle =    "Proceedings of the Symposium on Engineering
                 Mathematics",
  publisher =    "Kluwer Academic Publishers",
  address =      "Dordrecht, The Netherlands",
  editor =       "T. F. Bewley",
  year =         "1993",
}

@TechReport{int:Roos19,
  author =       "C. Roos and J. P. Vial",
  title =        "Achievable potential reductions in the method of
                 {Kojima et al.\ } in the case of linear programming",
  type =         "{Cahiers de Recherche}",
  number =       "1991.2",
  year =         "1991",
  institution =  "Faculte des Sciences Economiques et Sociales,
                 Universite de Geneve",
  address =      "Geneve, Suisse",
}

@Article{int:Ruzinsky1,
  author =       "S. A. Ruzinsky and E. T. Olsen",
  title =        "${L_1}$ and ${L_\infty}$ minimization via a variant of
                 {K}armarkar's algorithm",
  journal =      "IEEE Transactions on Acoustics, Speech, and Signal
                 Processing",
  volume =       "37",
  number =       "2",
  year =         "1989",
  pages =        "245--253",
}

@TechReport{int:Ruszczynski1,
  author =       "A. Ruszczynski",
  title =        "Interior--point methods in stochastic programming",
  type =         "{Technical Report}",
  year =         "1993",
  month =        jan,
  institution =  "International Institute for Applied Systems Analysis",
  address =      "A--2361~Laxenburg, Austria",
}

@Article{int:Sagara1,
  author =       "N. Sagara and M. Fukushima",
  title =        "A hybrid method for the nonlinear least squares
                 problem with simple bounds",
  journal =      "Journal of Computational and Applied Mathematics",
  volume =       "36",
  year =         "1991",
  pages =        "149--157",
}

@TechReport{int:Saigal1,
  author =       "R. Saigal",
  title =        "Tracing homotopy paths in polynomial time",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Dept.\ of Industrial and Operational Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48109--2117, USA",
}

@TechReport{int:Saigal2,
  author =       "R. Saigal",
  title =        "Interior point methods for the transportation
                 problem",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial and Operational Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48109--2117, USA",
}

@TechReport{int:Saigal3,
  author =       "R. Saigal",
  title =        "{SOR}--type iterative techniques for interior point
                 methods",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Industrial and Operational Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48109--2117, USA",
}

@TechReport{int:Saigal4,
  author =       "R. Saigal",
  title =        "An infinitely summable series implementation of
                 interior point methods",
  type =         "{Technical Report}",
  number =       "92--37",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Industrial and Operational Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48109--2117, USA",
}

@TechReport{int:Saigal5,
  author =       "R. Saigal",
  title =        "Matrix partitioning methods for interior point
                 algorithms",
  type =         "{Technical Report}",
  number =       "92--39",
  year =         "1992",
  month =        jun,
  institution =  "Dept.\ of Industrial and Operational Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48109--2117, USA",
}

@TechReport{int:Saigal6,
  author =       "R. Saigal",
  title =        "A three step quadratically convergent implementation
                 of the primal affine scaling method",
  type =         "{Technical Report}",
  number =       "93--9",
  year =         "1993",
  month =        feb,
  institution =  "Dept.\ of Industrial and Operational Engineering,
                 University of Michigan",
  address =      "Ann Arbor, MI~48109--2117, USA",
}

@TechReport{int:Salamanca1,
  author =       "A. Salamanca",
  title =        "An inner ellipsoid algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "1--ABR/86",
  year =         "1986",
  institution =  "Dept.\ of Mathematics, E.~T.~S. de Ingenieros
                 Industriales, Universidad Politecmia de Madrid",
  address =      "Madrid, Spain",
}

@Article{int:Salhi1,
  author =       "A. Salhi and G. R. Lindfield",
  title =        "Effects of ordering and updating techniques on the
                 performance of the {K}armarkar algorithm",
  journal =      "R.A.I.R.O. Recherche Operationnelle/Operations
                 Research",
  volume =       "25",
  number =       "2",
  year =         "1991",
  pages =        "209--236",
}

@PhdThesis{int:Salhi2,
  author =       "A. Salhi",
  title =        "Karmarkar's algorithm~:~{E}xtensions and
                 implementations",
  year =         "1989",
  school =       "Dept.\ of Computer Science and Applied Mathematics,
                 Aston University",
  address =      "Birmingham~B4~7ET, UK",
}

@InCollection{int:Salhi3,
  author =       "A. Salhi and G. R. Lindfield",
  title =        "Standard form {K}armarkar's algorithm for structured
                 linear programming",
  booktitle =    "Algorithms and Parallel VLSI Architectures, Vol.\ B\
                 :\ Proceedings of the International Workshop on
                 Algorithms and Parallel VLSI Architectures,
                 Pont--a--Mousson, France, June 1990",
  editor =       "E. F. Deprettere and A. J. van der Veen",
  year =         "1991",
  pages =        "501--510",
  publisher =    "Elsevier Science Publishers, B.\ V.",
  address =      "Amsterdam, The Netherlands",
}

@InCollection{int:Salhi4,
  author =       "A. Salhi and G. R. Lindfield and L. G. Proll",
  title =        "The role of duality in the efficient use of a variant
                 of {Karmarkar's} algorithm",
  booktitle =    "Symposium on Applied Mathematical Programming and
                 Modeling (APMOD '93), Budapest, Hungary, January 1993,
                 Volume of Extended Abstracts",
  editor =       "I. Maros",
  year =         "1992",
  month =        dec,
  pages =        "516--520",
  publisher =    "Computer and Automation Institute, Hungarian Academy
                 of Sciences",
  address =      "Budapest, Hungary",
}

@TechReport{int:Saltzman1,
  author =       "M. J. Saltzman",
  title =        "Parallel implementation of interior point {LP}
                 algorithms",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Dept.\ of Mathematical Sciences, Clemson University",
  address =      "Clemson, SC~29634--1907, USA",
  note =         "See Saltzman \cite{int:Saltzman5}",
}

@InCollection{int:Saltzman2,
  author =       "M. J. Saltzman and R. Subramaniam and R. E. Marsten",
  title =        "Implementing an interior point {LP} algorithm on a
                 supercomputer",
  booktitle =    "Impacts of Recent Computer Advances on Operations
                 Research",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
  editor =       "R. Sharda and B. L. Golden and E. Wasil and O. Balci
                 and W. Stewart",
  year =         "1989",
  pages =        "158--168",
}

@TechReport{int:Saltzman3,
  author =       "M. J. Saltzman",
  title =        "{WRIP~: A workbench for research in interior point
                 methods}",
  type =         "{Panel Discussion held at the ORSA/TIMS Joint National
                 Meeting in Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Mathematical Sciences, Clemson University",
  address =      "Clemson, SC~29634--1907, USA",
}

@TechReport{int:Saltzman4,
  author =       "M. J. Saltzman and R. Bixby",
  title =        "Recovering an optimal {LP} basis from an interior
                 point solution",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Mathematical Sciences, Clemson University",
  address =      "Clemson, SC~29634--1907, USA",
  note =         "See Bixby and Saltzman \cite{int:Bixby2}",
}

@InCollection{int:Saltzman5,
  author =       "M. J. Saltzman",
  title =        "Implementation of an interior point {LP} algorithm on
                 a shared--memory vector multiprocessor",
  booktitle =    "Operations Research and Computer Science: New
                 Developments in Their Interfaces",
  publisher =    "Pergamon Press",
  address =      "Oxford, UK",
  editor =       "O. Balci and R. Sharda and S. A. Zenios",
  year =         "1992",
}

@TechReport{int:Samuelsen1,
  author =       "C. M. Samuelsen and R. A. Tapia",
  title =        "The {Dikin--Karmarkar} principle for steepest
                 descent",
  type =         "{Talk held at the Second International Conference on
                 Industrial and Applied Mathematics (ICIAM~'91),
                 Washington, DC, USA}",
  year =         "1991",
  month =        jul,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  note =         "See Samuelsen \cite{int:Samuelsen3}",
}

@TechReport{int:Samuelsen2,
  author =       "C. M. Samuelsen and R. A. Tapia",
  title =        "The {Dikin--Karmarkar} principle for steepest
                 descent~:~{Avoiding} short steps",
  type =         "{Technical Report}",
  number =       "TR~91--20",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@PhdThesis{int:Samuelsen3,
  author =       "C. M. Samuelsen",
  title =        "The {Dikin--Karmarkar} principle for steepest
                 descent",
  year =         "1992",
  school =       "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Schneider1,
  author =       "W. Schneider",
  title =        "An inner point preprocessing procedure",
  type =         "{Talk held at the DGOR--Jahrestagung in
                 Stuttgart--Hohernheim, West--Germany}",
  year =         "1991",
  month =        sep,
  institution =  "Institut f{\"u}r Informatik, Universit{\"a}t Linz",
  address =      "P.~O.~Box, A--4040~Linz, Austria",
}

@Article{int:Schoenlein1,
  author =       "A. Sch{\"o}nlein",
  title =        "{Der Algorithmus von Karmarkar---Idee, Realisation,
                 Beispiel und numerische Erfahrungen (The Karmarkar
                 algorithm---idea, realisation, example and numerical
                 experiences)}",
  journal =      "Angewandte Informatik",
  volume =       "8",
  year =         "1986",
  pages =        "344--353",
  note =         "(In German)",
}

@InCollection{int:Schreck1,
  author =       "H. Schreck",
  title =        "Experiences with an implementation of {K}armarkar's
                 {LP}--algorithm",
  booktitle =    "Proceedings of the X.~Symposium on Operations
                 Research, Munich, West--Germany, August 1985",
  editor =       "M. J. Beckmann and K. W. Gaede and K. Ritter and H.
                 Schneeweiss",
  series =       "Methods of Operations Research",
  volume =       "54",
  year =         "1986",
  pages =        "535--542",
  publisher =    "Anton Hain Meisenheim Verlag",
  address =      "K{\"o}nigstein--Taunus, West--Germany",
}

@Article{int:Schrijver1,
  author =       "A. Schrijver",
  title =        "The new linear programming method of {K}armarkar",
  journal =      "CWI Newsletter",
  volume =       "8",
  year =         "1985",
  pages =        "2--14",
}

@InBook{int:Schrijver2,
  author =       "A. Schrijver",
  title =        "Theory of Linear and Integer Programming",
  chapter =      "15.1~: {K}armarkar's polynomial--time algorithm for
                 linear programming",
  pages =        "190--194",
  publisher =    "John Wiley \& Sons",
  address =      "New York",
  year =         "1986",
}

@TechReport{int:Schrijver3,
  author =       "A. Schrijver",
  title =        "The algorithm of {N.~K.~Karmarkar} for linear
                 programming",
  type =         "{Talk held at the 14th Conference on the Mathematics
                 of Operations Research in Dalfsen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Centre for Mathematics and Computer Science (CWI)",
  address =      "Kruislaan 413, NL--1098~SJ~Amsterdam, The
                 Netherlands",
}

@TechReport{int:Schultz1,
  author =       "G. L. Schultz and R. R. Meyer",
  title =        "A structured interior point method",
  type =         "{Technical Report}",
  number =       "934",
  year =         "1990",
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@Article{int:Schultz2,
  author =       "H. Schultz and W. Pulleyblank",
  title =        "Trends in optimization",
  journal =      "OR/MS Today",
  volume =       "18",
  number =       "4",
  year =         "1991",
  month =        aug,
  pages =        "20--25",
}

@Article{int:Schultz3,
  author =       "G. L. Schultz and R. R. Meyer",
  title =        "An interior point method for block angular
                 optimization",
  journal =      "SIAM Journal on Optimization",
  volume =       "1",
  number =       "4",
  year =         "1991",
  pages =        "583--602",
}

@TechReport{int:Setiono1,
  author =       "R. Setiono",
  title =        "An interior dual proximal--point algorithm for linear
                 programs",
  type =         "{Technical Report}",
  number =       "879",
  year =         "1989",
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@Article{int:Setiono2,
  author =       "R. Setiono",
  title =        "Interior proximal--point algorithm for linear
                 programs",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "74",
  number =       "3",
  year =         "1992",
  pages =        "425--444",
}

@TechReport{int:Setiono3,
  author =       "R. Setiono",
  title =        "Interior dual least 2--norm algorithm for linear
                 programs",
  type =         "{Technical Report}",
  number =       "950",
  year =         "1990",
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
  note =         "Revised July 1991",
}

@TechReport{int:Setiono4,
  author =       "R. Setiono",
  title =        "Interior dual proximal--point algorithm using
                 preconditioned conjugate gradient",
  type =         "{Technical Report}",
  number =       "951",
  year =         "1990",
  institution =  "Dept.\ of Computer Science, University of Wisconsin",
  address =      "Madison, WI~53706, USA",
}

@Article{int:Shanno1,
  author =       "D. F. Shanno",
  title =        "Computing {K}armarkar projections quickly",
  journal =      "Mathematical Programming",
  volume =       "41",
  year =         "1988",
  pages =        "61--71",
}

@TechReport{int:Shanno2,
  author =       "D. F. Shanno",
  title =        "Interior--point methods for linear programming~: {T}he
                 state--of--the--computational--art",
  type =         "{Talk held at the Symposium on Mathematical
                 Programming in Oberwolfach, West--Germany}",
  year =         "1990",
  month =        jan,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno3,
  author =       "D. F. Shanno",
  title =        "Interior--point methods for linear programming~: {T}he
                 state--of--the--art",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@Article{int:Shanno4,
  author =       "D. F. Shanno and A. Bagchi",
  title =        "A unified view of interior point methods for linear
                 programming",
  journal =      "Annals of Operations Research",
  volume =       "22",
  year =         "1990",
  pages =        "55--70",
}

@TechReport{int:Shanno5,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "On implementing {K}armarkar's method",
  type =         "{Working Paper}",
  number =       "85--01",
  year =         "1985",
  institution =  "Graduate School of Administration, University of
                 California",
  address =      "Davis, CA~95616, USA",
}

@TechReport{int:Shanno6,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "Implementation of the {K}armarkar algorithm within
                 {XMP} framework",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "Graduate School of Administration, University of
                 California",
  address =      "Davis, CA~95616, USA",
}

@Article{int:Shanno7,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "A reduced--gradient variant of {K}armarkar's algorithm
                 and null--space projections",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "57",
  year =         "1988",
  pages =        "383--397",
}

@TechReport{int:Shanno8,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "Interior point methods for linear programming~:
                 {R}eady for production use",
  type =         "{Workshop held at the ORSA/TIMS Joint National Meeting
                 in New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno9,
  author =       "D. F. Shanno and R. E. Marsten",
  title =        "Set partitioning via interior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno10,
  author =       "D. F. Shanno and C. L. Monma and K. McShane",
  title =        "Computational experience with a primal--dual method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
  note =         "See McShane et al.\ \cite{int:McShane1}",
}

@TechReport{int:Shanno11,
  author =       "D. F. Shanno and R. E. Marsten and M. J. Saltzman and
                 R. Subramaniam",
  title =        "Solving set partitioning problems with cutting planes
                 and an interior point method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno12,
  author =       "D. F. Shanno",
  title =        "An overview of interior point methods with
                 implementation details and computational experience",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno13,
  author =       "D. F. Shanno and T. J. Carpenter",
  title =        "{\em Log}--barrier methods for quadratic and linearly
                 constrained nonlinear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno14,
  author =       "D. F. Shanno",
  title =        "Current state of primal--dual interior code",
  type =         "{Talk held at the Second Asilomar Workshop on Progress
                 in Mathematical Programming, Asimolar Conference
                 Center, Pacific Grove, CA, USA}",
  year =         "1990",
  month =        mar,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno15,
  author =       "D. F. Shanno and T. J. Carpenter",
  title =        "Computational experience with large scale quadratic
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shanno16,
  author =       "D. F. Shanno and T. J. Carpenter",
  title =        "Interior point methods for large scale quadratic
                 programming",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "RUTCOR Center of Operations Research, Rutgers
                 University",
  address =      "New Brunswick, NJ~08903, USA",
}

@TechReport{int:Shaw1,
  author =       "D. Shaw",
  title =        "Several computational considerations for projective
                 behavior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Rider College",
  address =      "Lawrenceville, NJ~08648, USA",
}

@Article{int:Sherali1,
  author =       "H. D. Sherali",
  title =        "Algorithmic insights and a convergence analysis for a
                 {K}armarkar--type of algorithm for linear programming
                 problems",
  journal =      "Naval Research Logistics Quarterly",
  volume =       "34",
  year =         "1987",
  pages =        "399--416",
}

@Article{int:Sherali2,
  author =       "H. D. Sherali and B. O. Skarpness and B. Kim",
  title =        "An assumption--free convergence analysis of the
                 scaling algorithm for linear programs, with application
                 to the ${L_1}$ estimation problem",
  journal =      "Naval Research Logistics Quarterly",
  volume =       "35",
  year =         "1988",
  pages =        "473--492",
}

@TechReport{int:Sheu1,
  author =       "R. Sheu and S. C. Fang",
  title =        "On the relationship of interior point methods",
  type =         "{Technical Report}",
  year =         "1991",
  month =        nov,
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
  note =         "To appear in {\em International Journal of Mathematics
                 and Mathematical Sciences}",
}

@Article{int:Sheu2,
  author =       "R. L. Sheu and S. C. Fang",
  title =        "Insights into interior point methods",
  journal =      "Zeitschrift f{\"u}r Operations Research---Methods and
                 Models of Operations Research",
  volume =       "36",
  number =       "3",
  year =         "1992",
}

@TechReport{int:Sheu3,
  author =       "R. L. Sheu and S. C. Fang",
  title =        "On the generalized path--following methods for linear
                 programming",
  type =         "{OR Research Report}",
  number =       "261",
  year =         "1992",
  month =        jan,
  institution =  "Operations Research Program, North Carolina State
                 University",
  address =      "Raleigh, NC~27695, USA",
  note =         "Revised January 1993",
}

@Article{int:Shi1,
  author =       "M. G. Shi",
  title =        "Some convergence problems of interior point algorithms
                 for linear programming",
  journal =      "Journal of the Tsinghua University",
  volume =       "28",
  number =       "3",
  year =         "1988",
  pages =        "91--101",
  note =         "(In Chinese)",
}

@Article{int:Shub1,
  author =       "M. Shub",
  title =        "On the asymptotic behavior of the projective rescaling
                 algorithm for linear programming",
  journal =      "Journal of Complexity",
  volume =       "3",
  year =         "1987",
  pages =        "258--269",
}

@TechReport{int:Shub2,
  author =       "M. Shub",
  title =        "Boundary and asymptotic behavior of interior point
                 methods for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "IBM~T.~J.~Watson Research Center",
  address =      "Yorktown Heights, NY~10598, USA",
  note =         "See Megiddo and Shub \cite{int:Megiddo12}",
}

@Article{int:Siam1,
  key =          "Siam",
  title =        "New algorithm stirs interest",
  journal =      "SIAM News",
  volume =       "13",
  number =       "1",
  year =         "1985",
  month =        jan,
  pages =        "1, 17",
}

@Article{int:Singh1,
  author =       "D. Singh and J. N. Singh",
  title =        "Some remarks on {K}armarkar's algorithm for linear
                 programming",
  journal =      "Journal of the Bihar Mathematical Society",
  volume =       "11",
  year =         "1987/88",
  pages =        "85--90",
}

@TechReport{int:Singh2,
  author =       "J. N. Singh and D. Singh",
  title =        "A modified termination rule for {Karmarkar's}
                 algorithm",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "College of Business Management, Indian Institute of
                 Technology",
  address =      "India",
}

@TechReport{int:Singh3,
  author =       "A. Singh",
  title =        "A comparison of barrier function methods with
                 {Lagrangian} method for nonlinear programming",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "University of Waterloo",
  address =      "Waterloo, Canada",
}

@MastersThesis{int:Singh4,
  author =       "A. Singh",
  title =        "A trust region method for large--scale engineering
                 optimization using barrier/potential function models",
  year =         "1992",
  school =       "University of Waterloo",
  address =      "Waterloo, Ontario, Canada",
}

@InProceedings{int:Sinha1,
  author =       "L. P. Sinha and B. A. Freedman and N. K. Karmarkar and
                 A. Puchta and K. G. Ramakrishnan",
  title =        "Overseas network planning---{A}pplication of
                 {K}armarkar's algorithm",
  booktitle =    "Proceedings of NETWORK~'86 Conference, Tarpon Spring,
                 FL, USA",
  year =         "1986",
  month =        jun,
  pages =        "8.2.1--8.2.4",
}

@TechReport{int:Slutsman1,
  author =       "L. Slutsman",
  title =        "Implementation of primal--dual series algorithm for
                 convex separable quadratic programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@InCollection{int:Snyman1,
  author =       "J. A. Snyman and M. van Royen",
  title =        "A multiplex algorithm for linear programming
                 problems",
  booktitle =    "System Modelling and Optimization~ Proceedings of the
                 13th IFIP Conference, Tokyo, Japan, Aug./Sept.~1987",
  editor =       "M. Iri and K. Yajima",
  year =         "1988",
  pages =        "177--186",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "113",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@Article{int:Snyman2,
  author =       "J. A. Snyman",
  title =        "An interior feasible direction method with constraint
                 projections for linear programming",
  journal =      "Computers and Mathematics with Applications",
  volume =       "20",
  number =       "12",
  year =         "1990",
  pages =        "43--54",
}

@InCollection{int:Sonnevend1,
  author =       "G. Sonnevend",
  title =        "A new method for solving a set of linear (convex)
                 inequalities and its applications for identification
                 and optimization",
  booktitle =    "Proceedings of the 5th IFAC--IFORS Conference held in
                 Budapest, Hungaria, June 1986",
  editor =       "B. Martos",
  year =         "1987",
  publisher =    "Pergamon Press",
  address =      "Oxford, UK",
}

@InCollection{int:Sonnevend2,
  author =       "G. Sonnevend",
  title =        "An ``analytic center'' for polyhedrons and new classes
                 of global algorithms for linear (smooth, convex)
                 programming",
  booktitle =    "System Modelling and Optimization~: Proceedings of the
                 12th IFIP--Conference held in Budapest, Hungary,
                 September 1985",
  editor =       "A. Prekopa and J. Szelezsan and B. Strazicky",
  year =         "1986",
  pages =        "866--876",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "84",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@InCollection{int:Sonnevend3,
  author =       "G. Sonnevend",
  title =        "New algorithms in convex programming based on a notion
                 of ''centre'' (for systems of analytic inequalities)
                 and on rational extrapolation",
  booktitle =    "Trends in Mathematical Optimization~: Proceedings of
                 the 4th French--German Conference on Optimization in
                 Irsee, West--Germany, April 1986",
  editor =       "K. H. Hoffmann and J. B. Hiriat--Urruty and C.
                 Lemarechal and J. Zowe",
  year =         "1988",
  pages =        "311--327",
  series =       "International Series of Numerical Mathematics",
  volume =       "84",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
}

@TechReport{int:Sonnevend4,
  author =       "G. Sonnevend",
  title =        "Application of analytic centers to the design of
                 observers and feedback controllers",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700 W{\"u}rzburg, West--Germany",
}

@Article{int:Sonnevend5,
  author =       "G. Sonnevend and J. Stoer",
  title =        "Global ellipsoid approximations and homotopy methods
                 for solving convex analytic programs",
  journal =      "Applied Mathematics~\&~Optimization",
  volume =       "21",
  year =         "1990",
  pages =        "139--166",
}

@Article{int:Sonnevend6,
  author =       "G. Sonnevend and J. Stoer and G. Zhao",
  title =        "On the complexity of following the central path by
                 linear extrapolation in linear programming",
  journal =      "Methods of Operations Research",
  volume =       "62",
  year =         "1990",
  pages =        "19--31",
}

@Article{int:Sonnevend7,
  author =       "G. Sonnevend",
  title =        "Applications of the notion of analytic center in
                 approximation (estimation) problem",
  journal =      "Journal of Computational and Applied Mathematics",
  volume =       "28",
  year =         "1989",
  pages =        "349--358",
}

@InCollection{int:Sonnevend8,
  author =       "G. Sonnevend",
  title =        "Applications of analytic centers for the numerical
                 solution of semiinfinte, convex programs arising in
                 control theory",
  booktitle =    "System Modelling and Optimization~: Proceedings of the
                 14th IFIP--Conference, Leipzig, East--Germany, July
                 1989",
  editor =       "H. J. Sebastian and K. Tammer",
  year =         "1990",
  pages =        "413--422",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "143",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@Article{int:Sonnevend9,
  author =       "G. Sonnevend and J. Stoer and G. Zhao",
  title =        "On the complexity of following the central path of
                 linear programs by linear extrapolation~{II}",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "527--553",
}

@InCollection{int:Sonnevend10,
  author =       "G. Sonnevend",
  title =        "Application of analytic centers to feedback design for
                 systems with uncertainties",
  booktitle =    "Control of Uncertain Systems",
  editor =       "D. Hinrichsen and B. Martensson",
  year =         "1989",
  pages =        "271--289",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
}

@InCollection{int:Sonnevend11,
  author =       "G. Sonnevend",
  title =        "Applications of analytic centers",
  booktitle =    "Numerical Linear Algebra, Digital Signal Processing
                 and Parallel Algorithms",
  series =       "NATO ASI Series",
  volume =       "F70",
  year =         "1991",
  pages =        "617--632",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@InCollection{int:Sonnevend12,
  author =       "G. Sonnevend",
  title =        "Construction and implementation of a central path
                 following algorithm for semifinte convex programs in
                 {MATLAB}",
  booktitle =    "Symposium on Applied Mathematical Programming and
                 Modeling (APMOD '93), Budapest, Hungary, January 1993,
                 Volume of Extended Abstracts",
  editor =       "I. Maros",
  year =         "1992",
  month =        dec,
  pages =        "541",
  publisher =    "Computer and Automation Institute, Hungarian Academy
                 of Sciences",
  address =      "Budapest, Hungary",
}

@Article{int:Spiegel1,
  key =          "Spiegel",
  title =        "{Neuer Dampf (New power)}",
  journal =      "Der Spiegel",
  volume =       "38",
  number =       "49",
  year =         "1984",
  pages =        "239--240",
  note =         "(In German)",
}

@InCollection{int:Sridhar1,
  author =       "P. Sridhar and U. R. P. Kumar and A. K. Pujari",
  title =        "Neural implementation of {Karmarkar's} algorithm",
  booktitle =    "Proceedings of the IEEE International Symposium on
                 Circuits and Systems, Singapore, June 1991",
  year =         "1991",
  pages =        "1617--1620",
  publisher =    "IEEE New York",
  address =      "New York, NY, USA",
}

@MastersThesis{int:Steger1,
  author =       "A. E. Steger",
  title =        "An extension of {K}armarkar's algorithm for bounded
                 linear programming problems",
  year =         "1985",
  month =        aug,
  school =       "Dept.\ of Applied Mathematics, State University of New
                 York",
  address =      "Stony Brook, NY~11794, USA",
  note =         "Condensed version in~: H. Schellhaas, {P. van} Beek,
                 H. Isermann, R. Schmidt and M. Zijlstra, editors, {\em
                 Operations Research Proceedings 1987}, pages 88--95,
                 Springer Verlag, Berlin, West--Germany, 1988",
}

@TechReport{int:Stewart1,
  author =       "D. E. Stewart and S. J. Wright",
  title =        "Monotone convergent methods for a variational
                 inequality",
  type =         "{Advanced Computing Technical Report Series}",
  number =       "3--09--91",
  year =         "1991",
  month =        sep,
  institution =  "Australian National University",
}

@Article{int:Stipp1,
  author =       "D. Stipp",
  title =        "{AT~\&~T} problem--solving math procedure passes early
                 tests of its practical value",
  journal =      "The Wallstreet Journal",
  year =         "1985",
  month =        mar # "~5,",
}

@TechReport{int:Stoer1,
  author =       "J. Stoer",
  title =        "{Innere--Punkte--Verfahren und ihre Komplexit{\"at}
                 (I}nterior point methods and their complexity)",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
}

@TechReport{int:Stoer2,
  author =       "J. Stoer",
  title =        "Complexity bounds for interior point methods to solve
                 linear programs",
  type =         "{Talk held at the Symposium on Mathematical
                 Programming in Oberwolfach, West--Germany}",
  year =         "1990",
  month =        jan,
  institution =  "Institut f{\"u}r Angewandte Mathematik und Statistik,
                 Universit{\"a}t W{\"u}rzburg",
  address =      "Am Hubland, D--8700~W{\"u}rzburg, West--Germany",
}

@InCollection{int:Stoer3,
  author =       "J. Stoer",
  title =        "{Innere--Punkte--Verfahren zur L{\"o}sung
                 quadratischer Optimierungsprobleme und ihre
                 Komplexit{\"a}t (Interior point methods for solving
                 quadratic optimization problems and their
                 complexity)}",
  booktitle =    "{Informatik und Mathematik}",
  editor =       "M. Broy",
  year =         "1991",
  pages =        "137--141",
  publisher =    "Springer Verlag",
  address =      "Berlin, Germany",
  note =         "(In German)",
}

@InCollection{int:Stoer4,
  author =       "J. Stoer",
  title =        "On interior--point methods for solving linear programs
                 and their complexity",
  booktitle =    "{Proceedings of the Mathematical Theory of Control
                 Symposium in Bombay (India) 1990}",
  year =         "1993",
  pages =        "337--352",
  series =       "Lecture Notes in Pure and Applied Mathematics",
  volume =       "142",
  publisher =    "Marcel Dekker, Inc.",
  address =      "New York, USA",
}

@TechReport{int:Stone1,
  author =       "R. E. Stone and C. A. Tovey",
  title =        "Karmarkar's algorithm as a generalization of simplex",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Los Angeles, CA, USA}",
  year =         "1986",
  month =        apr,
  institution =  "Graduate School of Business Administration, Harvard
                 University",
  address =      "Boston, MA~02163, USA",
}

@TechReport{int:Stone2,
  author =       "R. E. Stone",
  title =        "Karmarkar's algorithm",
  type =         "{Unpublished Report}",
  year =         "1985",
  institution =  "Graduate School of Business Administration, Harvard
                 University",
  address =      "Boston, MA~02163, USA",
}

@Article{int:Stone3,
  author =       "R. E. Stone and C. A. Tovey",
  title =        "The simplex and projective scaling algorithms as
                 iteratively reweighted least squares methods",
  journal =      "SIAM Review",
  volume =       "33",
  number =       "2",
  year =         "1991",
  month =        jun,
  pages =        "220--237",
  note =         "Errata in {\em SIAM Review} 33(3):461, September
                 1991",
}

@TechReport{int:Stone4,
  author =       "R. E. Stone and M. H. Wright",
  title =        "Recent developments in linear and nonlinear
                 programming",
  type =         "{Short Course held at the Third SIAM Conference on
                 Optimization in Boston, MA, USA}",
  year =         "1989",
  month =        apr,
  institution =  "AT\&T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Strang1,
  author =       "G. Strang",
  title =        "Karmarkar's algorithm in a nutshell",
  journal =      "SIAM News",
  volume =       "18",
  number =       "6",
  year =         "1985",
  month =        nov,
  pages =        "13",
}

@InBook{int:Strang2,
  author =       "G. Strang",
  title =        "Introduction to Applied Mathematics",
  chapter =      "8.2~: The simplex method and {K}armarkar's method",
  year =         "1986",
  pages =        "673--689",
  publisher =    "Wellesley--Cambridge--Press",
  address =      "Cambridge, MA, USA",
}

@Article{int:Strang3,
  author =       "G. Strang",
  title =        "Karmarkar's algorithm and its place in applied
                 mathematics",
  journal =      "The Mathematical Intelligencer",
  volume =       "9",
  number =       "2",
  year =         "1987",
  pages =        "4--10",
}

@TechReport{int:Sturm1,
  author =       "J. F. Sturm and S. Zhang",
  title =        "A potential reduction method for harmonically convex
                 programming",
  type =         "{Research Memorandum}",
  number =       "525",
  year =         "1993",
  institution =  "Dept. of Econometrics, University of Groningen",
  address =      "NL--9700~AV~Groningen, The Netherlands",
}

@TechReport{int:Sun1,
  author =       "J. Sun",
  title =        "An affine--scaling method for linearly constrained
                 convex programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Management
                 Science, Northwestern University",
  address =      "Evanston, IL~60208, USA",
}

@Article{int:Sun2,
  author =       "J. Sun and L. Qi",
  title =        "An interior point algorithm of {$O(\sqrt{n}
                 |\ln\varepsilon |)$} iterations for {$C^{1}$}--convex
                 programming",
  journal =      "Mathematical Programming",
  volume =       "57",
  year =         "1992",
  pages =        "239--257",
}

@Article{int:Sun3,
  author =       "J. Sun",
  title =        "A convergence proof for an affine--scaling algorithm
                 for convex quadratic programming without nondegeneracy
                 assumptions",
  journal =      "Mathematical Programming",
  volume =       "60",
  year =         "1993",
  pages =        "69--79",
}

@Article{int:Swart1,
  author =       "E. R. Swart",
  title =        "How {I} implemented the {K}armarkar algorithm in one
                 evening",
  journal =      "APL Quote Quad",
  volume =       "15",
  number =       "3",
  year =         "1985",
  pages =        "13--16",
}

@TechReport{int:Swart2,
  author =       "E. R. Swart",
  title =        "A modified version of the {K}armarkar algorithm",
  type =         "{Research Report in Mathematics}",
  number =       "98",
  year =         "1985",
  institution =  "Dept.\ of Mathematics and Statistics, University of
                 Guelph",
  address =      "Guelph, Ontario~N1G~2W1, Canada",
}

@PhdThesis{int:Tachat1,
  author =       "D. Tachat",
  title =        "Methodes interieures en programmation lineaire~:
                 {E}laboration et mise en oeuvre de procedures de
                 projection exacte et approchee {(Elaboration and
                 performance of exact and approximate projection
                 procedures)}",
  year =         "1991",
  school =       "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
  note =         "(In French)",
}

@TechReport{int:Takehara1,
  author =       "H. Takehara",
  title =        "An interior point algorithm for large scale portfolio
                 optimization",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "MTB Investment Technology Institute",
  address =      "Nihon Building, 2--6--2~Ohtemachi, Tokyo~100, Japan",
}

@Article{int:Tamura1,
  author =       "A. Tamura and H. Takehara and K. Fukuda and S.
                 Fujishige and M. Kojima",
  title =        "A dual interior primal simplex method for linear
                 programming",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "31",
  year =         "1988",
  pages =        "413--429",
}

@Article{int:Tamura2,
  author =       "T. E. Tamura",
  title =        "Characteristics of {K}armarkar method compared with
                 {S}implex method",
  journal =      "Bulletin of Nagoya Institute of Technology (Nagoya,
                 Japan)",
  volume =       "38",
  year =         "1986",
  pages =        "251--256",
  note =         "(In Japanese)",
}

@TechReport{int:Tan1,
  author =       "K. C. Tan and R. M. Freund",
  title =        "Newton's method for general parametric center problem
                 with applications",
  type =         "{Technical Report}",
  number =       "RR~457",
  year =         "1991",
  institution =  "Dept.\ of Mathematics, National University of
                 Singapore",
  address =      "Singapore, India",
}

@InProceedings{int:Tanabe1,
  author =       "K. Tanabe",
  title =        "Complementarity--enforced centered {N}ewton method for
                 mathematical programming",
  booktitle =    "New Methods for Linear Programming",
  editor =       "K. Tone",
  year =         "1987",
  pages =        "118--144",
  address =      "The Institute of Statistical Mathematics,
                 4--6--7~Minami Azabu, Minatoku, Tokyo~106, Japan",
}

@InCollection{int:Tanabe2,
  author =       "K. Tanabe",
  title =        "Centered {N}ewton method for mathematical
                 programming",
  booktitle =    "System Modelling and Optimization~: Proceedings of the
                 13th IFIP Conference, Tokyo, Japan, Aug./Sept.~1987",
  editor =       "M. Iri and K. Yajima",
  year =         "1988",
  pages =        "197--206",
  series =       "Lecture Notes in Control and Information Sciences",
  volume =       "113",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@TechReport{int:Tanabe3,
  author =       "K. Tanabe",
  title =        "Centered {N}ewton method for linear programming
                 exterior point method",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "The Institute of Statistical Mathematics",
  address =      "4--6--7~Minami Azabu, Minatoku, Tokyo~106, Japan",
}

@TechReport{int:Tanabe4,
  author =       "K. Tanabe",
  title =        "Center flattening transformation and a centered
                 {N}ewton method for linear programming",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "The Institute of Statistical Mathematics",
  address =      "4--6--7~Minami Azabu, Minatoku, Tokyo~106, Japan",
}

@Article{int:Tanabe5,
  author =       "K. Tanabe and T. Tsuchiya",
  title =        "Global analysis of dynamical systems associated with
                 {K}armarkar's method for linear programming",
  journal =      "Proceedings of the Annual Meeting of the Operations
                 Research Society of Japan",
  year =         "1987",
  pages =        "132--133",
}

@Article{int:Tanabe6,
  author =       "K. Tanabe",
  title =        "Centered {Newton} method for liner programming and
                 quadratic programming",
  journal =      "Proceedings of the 8th Mathematical Programming
                 Symposium in Japan",
  year =         "1987",
  pages =        "131--152",
}

@Article{int:Tapia1,
  author =       "R. A. Tapia",
  title =        "Current research in numerical optimization",
  journal =      "SIAM News",
  volume =       "20",
  year =         "1987",
  month =        mar,
  pages =        "10--11",
}

@TechReport{int:Tapia2,
  author =       "R. A. Tapia",
  title =        "Accelerating interior--point methods",
  type =         "{Talk held at the Symposium on Mathematical
                 Programming in Oberwolfach, West--Germany}",
  year =         "1990",
  month =        jan,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Tapia3,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "An optimal basis identification technique for interior
                 point linear programming methods",
  type =         "{Technical Report}",
  number =       "TR--89--01",
  year =         "1989",
  month =        apr,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  note =         "Revised September 1990. Essentially contained in Tapia
                 and Zhang \cite{int:Tapia7}",
}

@TechReport{int:Tapia4,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "Accelerating the convergence of interior point
                 methods",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Tapia5,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "A cubically convergent method for locating a nearby
                 vertex in linear programming",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "67",
  year =         "1990",
  pages =        "217--225",
}

@TechReport{int:Tapia6,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "A polynomial and superlinearly convergent primal--dual
                 interior algorithm for linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Tapia7,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "An optimal--basis identification technique for
                 interior--point linear programming algorithms",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "343--363",
}

@TechReport{int:Tapia8,
  author =       "R. A. Tapia and Y. Zhang and M. Saltzman and A.
                 Weiser",
  title =        "The predictor--corrector interior--point method as a
                 composite {N}ewton method",
  type =         "{Technical Report}",
  number =       "TR~90--17",
  year =         "1990",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Tapia9,
  author =       "R. A. Tapia and Y. Zhang and Y. Ye",
  title =        "On the convergence of the iteration sequence in
                 primal--dual interior point methods",
  type =         "{Technical Report}",
  number =       "TR~91--24",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Tapia10,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "Interpretation and optimality properties of the
                 {Karmarkar} algorithm",
  type =         "{Technical Report}",
  number =       "(in preparation)",
  year =         "1992",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Tapia11,
  author =       "R. A. Tapia and Y. Zhang",
  title =        "On the quadratic convergence of the singular
                 {Newton's} method",
  journal =      "SIAG/OPT Views--and--News, A forum for the SIAM
                 Activity Group on Optimization",
  volume =       "1",
  year =         "1992",
  pages =        "6--8",
}

@Article{int:Tarasov1,
  author =       "S. P. Tarasov and L. G. Khachiyan and I. I. Erlikh",
  title =        "The method of inscribed ellipsoids",
  journal =      "Soviet Mathematics Doklady",
  volume =       "37",
  year =         "1988",
  pages =        "226--230",
}

@Article{int:Terlaky1,
  author =       "T. Terlaky",
  title =        "A {Karmarkar} tipusu algoritmusokrol ({On Karmarkar}
                 type algorithms)",
  journal =      "Alkalmazott Matematikai Lapok",
  volume =       "15",
  year =         "1990/91",
  pages =        "133--162",
  note =         "(In Hungarian, English summary)",
}

@Article{int:Todd1,
  author =       "M. J. Todd",
  title =        "A review of {N. Karmarkar}",
  journal =      "Computing Reviews",
  volume =       "27",
  year =         "1986",
  month =        mar,
  pages =        "95--96",
}

@InCollection{int:Todd2,
  author =       "M. J. Todd",
  title =        "Polynomial algorithms for linear programming",
  booktitle =    "Advances in Optimization and Control, Proceedings of
                 the Conference {"Optimization Days '86"} held at
                 Montreal, Quebec, Canada, April/May 1986",
  editor =       "H. A. Eiselt",
  year =         "1988",
  pages =        "49--66",
  series =       "Lecture Notes in Economics and Mathematical Systems",
  volume =       "302",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@Article{int:Todd3,
  author =       "M. J. Todd",
  title =        "Improved bounds and containing ellipsoids in
                 {K}armarkar's linear programming algorithm",
  journal =      "Mathematics of Operations Research",
  volume =       "13",
  year =         "1988",
  pages =        "650--659",
}

@Article{int:Todd4,
  author =       "M. J. Todd",
  title =        "Exploiting special structure in {K}armarkar's
                 algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "41",
  year =         "1988",
  pages =        "97--113",
}

@Article{int:Todd5,
  author =       "M. J. Todd",
  title =        "A {Dantzig--Wolfe--like variant of K}armarkar's
                 interior--point linear programming algorithm",
  journal =      "Operations Research",
  volume =       "38",
  year =         "1990",
  pages =        "1006--1018",
}

@TechReport{int:Todd6,
  author =       "M. J. Todd",
  title =        "The effects of degeneracy and sparsity on
                 {K}armarkar's projective algorithm and its variants",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "See Todd \cite{int:Todd9}",
}

@InCollection{int:Todd7,
  author =       "M. J. Todd",
  title =        "Recent developments and new directions in linear
                 programming",
  booktitle =    "Mathematical Programming~: Recent Developments and
                 Applications",
  editor =       "M. Iri and K. Tanabe",
  year =         "1989",
  pages =        "109--157",
  publisher =    "Kluwer Academic Press",
  address =      "Dordrecht, The Netherlands",
}

@Article{int:Todd8,
  author =       "M. J. Todd",
  title =        "On {A}nstreicher's combined phase~{I} -- phase~{II}
                 projective algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "55",
  year =         "1992",
  pages =        "1--15",
}

@InCollection{int:Todd9,
  author =       "M. J. Todd",
  title =        "The effects of degeneracy, null and unbounded
                 variables on variants of {K}armarkar's linear
                 programming algorithm",
  booktitle =    "Large--Scale Numerical Optimization, Papers from the
                 Workshop held at Cornell University, Ithaca, NY, USA,
                 October 1989",
  series =       "SIAM Proceedings in Applied Mathematics",
  volume =       "46",
  year =         "1990",
  pages =        "81--91",
  editor =       "T. F. Coleman and Y. Li",
  publisher =    "Society of Industrial and Applied Mathematics (SIAM)",
  address =      "Philadelphia, PA, USA",
}

@Article{int:Todd10,
  author =       "M. J. Todd",
  title =        "The affine--scaling direction for linear programming
                 is a limit of projective--scaling directions",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "93--105",
}

@TechReport{int:Todd11,
  author =       "M. J. Todd",
  title =        "Anticipated behavior of {K}armarkar's algorithm",
  type =         "{Technical Report}",
  number =       "879",
  month =        dec,
  year =         "1989",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Todd12,
  author =       "M. J. Todd",
  title =        "Anticipated behavior of interior point methods for
                 linear programming",
  type =         "{Talk held at the Symposium on Mathematical
                 Programming in Oberwolfach, West--Germany}",
  year =         "1990",
  month =        jan,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "See Todd \cite{int:Todd11}, Mizuno et al.\
                 \cite{int:Mizuno4,int:Mizuno5}",
}

@Article{int:Todd13,
  author =       "M. J. Todd",
  title =        "A low complexity interior point algorithm for linear
                 programming",
  journal =      "SIAM Journal on Optimization",
  volume =       "2",
  year =         "1992",
  pages =        "198--209",
}

@Article{int:Todd14,
  author =       "M. J. Todd and B. P. Burrell",
  title =        "An extension of {K}armarkar's algorithm for linear
                 programming using dual variables",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "409--424",
}

@TechReport{int:Todd15,
  author =       "M. J. Todd and C. C. Gonzaga",
  title =        "An ${O(\sqrt{n}L)}$--iteration large--step
                 primal--dual affine algorithm for linear programming",
  type =         "{Talk held at the First International Symposium on
                 Interior Point Methods for Linear Programming~: Theory
                 and Practice, in Scheveningen, The Netherlands}",
  year =         "1990",
  month =        jan,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "See Gonzaga and Todd \cite{int:Gonzaga12}",
}

@Article{int:Todd16,
  author =       "M. J. Todd and Y. Wang",
  title =        "On combined phase~{I} -- phase~{II} projective methods
                 for linear programming",
  journal =      "Algorithmica",
  volume =       "9",
  number =       "1",
  year =         "1993",
  pages =        "64--83",
}

@Article{int:Todd17,
  author =       "M. J. Todd and Y. Ye",
  title =        "A centered projective algorithm for linear
                 programming",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "508--529",
}

@TechReport{int:Todd18,
  author =       "M. J. Todd",
  title =        "Projected scaled steepest descent in
                 {Kojima--Mizuno--Yoshise's} potential reduction
                 algorithm for the linear complementarity problem",
  type =         "{Technical Report}",
  number =       "950",
  year =         "1990",
  month =        dec,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@Article{int:Todd19,
  author =       "M. J. Todd",
  title =        "Combining phase~{I} and phase~{II} in a potential
                 reduction algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "59",
  year =         "1993",
  pages =        "133--150",
}

@Article{int:Todd20,
  author =       "M. J. Todd and J. P. Vial",
  title =        "Todd's low--complexity algorithm is a
                 predictor--corrector path--following method",
  journal =      "Operations Research Letters",
  volume =       "11",
  year =         "1992",
  pages =        "199--207",
}

@TechReport{int:Todd21,
  author =       "M. J. Todd and Y. Wang",
  title =        "A projective algorithm for convex quadratic
                 programming",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@Article{int:Todd22,
  author =       "M. J. Todd",
  title =        "Playing with interior points",
  journal =      "COAL Newsletter",
  volume =       "19",
  year =         "1991",
  month =        aug,
  pages =        "17--25",
}

@TechReport{int:Todd23,
  author =       "M. J. Todd and S. Mizuno and Y. Ye",
  title =        "Anticipated behavior of path--following algorithms for
                 linear programming",
  type =         "{Talk held at the Second Asilomar Workshop on Progress
                 in Mathematical Programming, Asilomar, CA, USA}",
  year =         "1990",
  month =        feb,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "See Mizuno et al.\ \cite{int:Mizuno4}",
}

@Article{int:Todd24,
  author =       "M. J. Todd",
  title =        "Probabilistic models in linear programming",
  journal =      "Mathematics of Operations Research",
  volume =       "16",
  number =       "4",
  year =         "1991",
  pages =        "671--693",
}

@TechReport{int:Todd25,
  author =       "M. J. Todd",
  title =        "Recent developments on interior point methods for
                 linear programming",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "There is no underlying report",
}

@TechReport{int:Todd26,
  author =       "M. J. Todd",
  title =        "Another derivation of the {Karmarkar} direction for
                 linear programming",
  type =         "{Technical Report}",
  number =       "91--20",
  year =         "1991",
  month =        dec,
  institution =  "Computational Optimization Project, Center for Applied
                 Mathematics, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Todd27,
  author =       "M. J. Todd",
  title =        "Interior--point algorithms for semi--infinite
                 programming",
  type =         "{Technical Report}",
  number =       "978",
  year =         "1991",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Todd28,
  author =       "M. J. Todd",
  title =        "Analysis of interior--point methods for linear
                 programming problems with variable upper bounds",
  type =         "{Technical Report}",
  number =       "1044",
  year =         "1993",
  month =        jan,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Todd29,
  author =       "M. J. Todd",
  title =        "A lower bound on the number of iterations of
                 primal--dual interior--point methods for linear
                 programming",
  type =         "{Technical Report}",
  number =       "1050",
  year =         "1993",
  month =        mar,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "Revised June 1993",
}

@TechReport{int:Tolla1,
  author =       "P. Tolla",
  title =        "Validation numerique de l'algorithme de {K}armarkar
                 {(Numerical validation of Karmarkar's algorithm)}",
  type =         "Cahier",
  number =       "76",
  year =         "1987",
  month =        apr,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
  note =         "(In French)",
}

@TechReport{int:Tolla2,
  author =       "P. Tolla",
  title =        "Amelioration des performances de l'algorithme de
                 {K}armarkar dans le cas de programmes lineaires a
                 variables bornees superieurement {(Improving the
                 performance of Karmarkar's algorithm in linear programs
                 with upper bounded variables)}",
  type =         "Cahier",
  number =       "82",
  year =         "1987",
  month =        nov,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
  note =         "(In French)",
}

@InCollection{int:Tolla3,
  author =       "P. Tolla",
  title =        "Optimal criterion and optimal solution accuracy test
                 in {K}armarkar's algorithm",
  booktitle =    "Numerical and Applied Mathematics, Part~II. Papers
                 from the Twelfth IMACS World Congress on Scientific
                 Computation in Paris, France, July 1988",
  editor =       "C. Brezinski",
  series =       "IMACS Annals of Computational and Applied
                 Mathematics",
  volume =       "1.2",
  year =         "1989",
  pages =        "629--633",
  publisher =    "Baltzer Verlag",
  address =      "Basel, Switzerland",
}

@InCollection{int:Tolla4,
  author =       "P. Tolla",
  title =        "Elaboration de logiciels efficaces utilisant
                 l'algorithme de {K}armarkar {(Elaboration of a
                 computationally efficient utilization of Karmarkar's
                 algorithm)}",
  booktitle =    "New Methods in Optimization and Their Industrial
                 Uses",
  editor =       "J. P. Penot",
  series =       "International Series of Numerical Mathematics",
  volume =       "87",
  year =         "1989",
  pages =        "173--190",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
  note =         "(In French)",
}

@TechReport{int:Tolla5,
  author =       "P. Tolla",
  title =        "Implementation and validation of interior point
                 methods for linear programming",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
}

@TechReport{int:Tolla6,
  author =       "P. Tolla",
  title =        "New numerical results on {K}armarkar's algorithm",
  type =         "Cahier",
  year =         "1988",
  institution =  "Laboratoire de Analyse et Modelisation de Systemes
                 pour l'Aide a la Decision (LAMSADE), Universite de
                 Paris Dauphine",
  address =      "F--75775~Paris~Cedex~16, France",
}

@Unpublished{int:Tomlin1,
  author =       "J. A. Tomlin",
  title =        "Experimental results with an implementation of the
                 projective method",
  type =         "{Manuscript}",
  year =         "1985",
  note =         "Early draft of Tomlin \cite{int:Tomlin2}",
}

@Article{int:Tomlin2,
  author =       "J. A. Tomlin",
  title =        "An experimental approach to {K}armarkar's projective
                 method for linear programming",
  journal =      "Mathematical Programming Study",
  volume =       "31",
  year =         "1987",
  pages =        "175--191",
}

@InCollection{int:Tomlin3,
  author =       "J. A. Tomlin",
  title =        "A note on comparing simplex and interior methods for
                 linear programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer Verlag",
  address =      "New York",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "91--104",
}

@TechReport{int:Tomlin4,
  author =       "J. A. Tomlin and J. S. Welch",
  title =        "Implementing an interior point method in a
                 mathematical programming system~: {Part~I}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Miami, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "Ketron Management Science, Inc.",
  address =      "Mountain View, CA~94040, USA",
}

@TechReport{int:Tomlin5,
  author =       "J. A. Tomlin and J. S. Welch",
  title =        "Implementing an interior point method in a
                 mathematical programming system",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New Orleans, USA}",
  year =         "1987",
  month =        may,
  institution =  "Ketron Management Science, Inc.",
  address =      "Mountain View, CA~94040, USA",
  note =         "See Tomlin \cite{int:Tomlin3}",
}

@TechReport{int:Tomlin6,
  author =       "J. A. Tomlin and J. J. Forrest",
  title =        "Switching from interior to vertex solutions in {OSL
                 (Optimization Subroutine Library)}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "IBM Almaden Research Center",
  address =      "San Jose, CA~95120, USA",
}

@InProceedings{int:Tompkins1,
  author =       "C. B. Tompkins",
  title =        "Projection methods in calculation",
  booktitle =    "Proceedings of the Second Symposium in Linear
                 Programming",
  editor =       "H. A. Antosiewicz",
  year =         "1955",
  pages =        "425--448",
  address =      "U.~S.~Air Force, Washington, DC, USA",
}

@Article{int:Tompkins2,
  author =       "C. B. Tompkins",
  title =        "Some methods of computational attack on programming
                 problems, other than the simplex method",
  journal =      "Naval Research Logistics Quarterly",
  volume =       "4",
  year =         "1957",
  pages =        "95--96",
}

@TechReport{int:Tone1,
  author =       "K. Tone",
  title =        "A hybrid method for linear programming",
  type =         "{Technical Report}",
  number =       "85--B--1",
  year =         "1985",
  institution =  "Graduate School for Policy Science, Saitama
                 University",
  address =      "Urawa, Saitama~338, Japan",
}

@TechReport{int:Tone2,
  author =       "K. Tone",
  title =        "An implementation of a revised {K}armarkar method",
  type =         "{Technical Report}",
  year =         "1986/87",
  institution =  "Graduate School for Policy Science, Saitama
                 University",
  address =      "Urawa, Saitama~338, Japan",
}

@Article{int:Tone3,
  author =       "K. Tone",
  title =        "Linear programming and {K}armarkar patents",
  journal =      "Systems, Control and Information",
  volume =       "34",
  number =       "5",
  year =         "1990",
  month =        apr,
  pages =        "209--215",
  note =         "(In Japanese)",
}

@TechReport{int:Tone4,
  author =       "K. Tone",
  title =        "An {$O(\sqrt{n}L)$} iteration large--step logarithmic
                 barrier function algorithm for linear programming",
  type =         "{Research Report}",
  number =       "89--B--5",
  year =         "1989",
  institution =  "Graduate School for Policy Science, Saitama
                 University",
  address =      "Urawa, Saitama~338, Japan",
}

@Article{int:Tone5,
  author =       "K. Tone",
  title =        "An active--set strategy in interior point method for
                 linear programming",
  journal =      "Mathematical Programming",
  volume =       "59",
  year =         "1993",
  pages =        "345--360",
}

@Article{int:Tone6,
  author =       "K. Tone",
  title =        "Remarks on potential versus barrier function methods
                 for linear programming",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "34",
  number =       "4",
  year =         "1991",
  pages =        "436--448",
}

@TechReport{int:Torabi1,
  author =       "M. Torabi",
  title =        "Decomposed block {C}holesky factorization in the
                 {K}armarkar algorithm~: {A} proposed scheme for solving
                 a class of super large {LP} problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@Article{int:Torabi2,
  author =       "M. Torabi",
  title =        "Decomposed block {C}holesky factorization in the
                 {K}armarkar algorithm.~{S}olving a class of super large
                 {LP} problems",
  journal =      "Computers and Mathematics with Applications",
  volume =       "20",
  number =       "2",
  year =         "1990",
  pages =        "1--7",
}

@TechReport{int:Tovey1,
  author =       "C. A. Tovey",
  title =        "Integrating {K}armarkar's algorithm into the
                 curriculum",
  type =         "{Workshop held at the ORSA/TIMS Joint National Meeting
                 in Miami Beach, FL, USA}",
  year =         "1986",
  month =        oct,
  institution =  "School of Industrial and Systems Engineering, Georgia
                 Technology Institute",
  address =      "Atlanta, GA~30322--0205, USA",
}

@Article{int:Tovey2,
  author =       "C. A. Tovey",
  title =        "The challenge~: {Teaching K}armarkar's algorithm",
  journal =      "OR/MS Today",
  volume =       "15",
  number =       "2",
  year =         "1988",
  month =        apr,
  pages =        "18--19",
}

@TechReport{int:Trafalis1,
  author =       "T. B. Trafalis and T. L. Morin",
  title =        "Interior point methods in multiobjective convex
                 optimization",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "School of Industrial Engineering, University of
                 Oklahoma",
  address =      "Norman, OK~73019, USA",
}

@PhdThesis{int:Trafalis2,
  author =       "T. B. Trafalis",
  title =        "Efficient faces of a polytope~: {I}nterior methods in
                 multiple objective optimization",
  year =         "1989",
  month =        aug,
  school =       "Dept.\ of Mathematics and Computer Science, School of
                 Industrial Engineering, Purdue University",
  address =      "West Lafayette, IN~47907, USA",
}

@TechReport{int:Trafalis3,
  author =       "T. B. Trafalis",
  title =        "Interior point methods in backpropagation neural
                 networks",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "School of Industrial Engineering, University of
                 Oklahoma",
  address =      "Norman, OK~73019, USA",
}

@TechReport{int:Trafalis4,
  author =       "T. B. Trafalis",
  title =        "A method of centers that computes {Pareto} solutions
                 of cooperative games in polynomial time",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "School of Industrial Engineering, University of
                 Oklahoma",
  address =      "Norman, OK~73019, USA",
}

@Article{int:Tseng1,
  author =       "P. Tseng",
  title =        "A simple complexity proof for a polynomial--time
                 linear programming algorithm",
  journal =      "Operations Research Letters",
  volume =       "8",
  year =         "1989",
  pages =        "155--159",
}

@Article{int:Tseng2,
  author =       "P. Tseng",
  title =        "Global linear convergence of a path--following
                 algorithm for some monotone variational inequality
                 problems",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "75",
  number =       "2",
  year =         "1992",
  pages =        "265--279",
}

@Article{int:Tseng3,
  author =       "P. Tseng and Z. Q. Luo",
  title =        "On the convergence of the affine--scaling algorithm",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1992",
  pages =        "301--319",
}

@TechReport{int:Tseng4,
  author =       "P. Tseng",
  title =        "A path--following algorithm for linear programming
                 using quadratic and logarithmic penalty functions",
  type =         "{Technical Report}",
  year =         "1990",
  month =        apr,
  institution =  "Laboratory for Information and Decision Systems,
                 Massachusetts Institute of Technology",
  address =      "Cambridge, MA~02139, USA",
  note =         "To appear in {\em SIAM Journal on Control and
                 Optimization}",
}

@TechReport{int:Tseng5,
  author =       "P. Tseng",
  title =        "Path following by alternating minimization",
  type =         "{Technical Report}",
  year =         "1991",
  month =        apr,
  institution =  "Dept.\ of Mathematics, GN--50, University of
                 Washington",
  address =      "Seattle, WA, USA",
}

@Article{int:Tseng6,
  author =       "P. Tseng",
  title =        "Complexity analysis of a linear complementarity
                 algorithm based on a {Lyapunov} function",
  journal =      "Mathematical Programming",
  volume =       "53",
  year =         "1992",
  pages =        "297--306",
}

@Article{int:Tsuchiya1,
  author =       "T. Tsuchiya",
  title =        "Global convergence of the affine scaling methods for
                 degenerate linear programming problems",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "377--404",
}

@Article{int:Tsuchiya2,
  author =       "T. Tsuchiya and K. Tanabe",
  title =        "Local convergence properties of new methods in linear
                 programming",
  journal =      "Journal of the Operations Research Society of Japan",
  volume =       "33",
  year =         "1990",
  pages =        "22--45",
}

@Article{int:Tsuchiya3,
  author =       "T. Tsuchiya",
  title =        "Degenerate linear programming problems and the affine
                 scaling method",
  journal =      "Systems, Control and Information",
  volume =       "34",
  number =       "4",
  year =         "1990",
  month =        apr,
  pages =        "216--222",
  note =         "(In Japanese)",
}

@Article{int:Tsuchiya4,
  author =       "T. Tsuchiya",
  title =        "On {Yamashita's method and Freund's method} for linear
                 programming",
  journal =      "Cooperative Research Report of the Institute of
                 Statistical Mathematics",
  volume =       "10",
  year =         "1988",
  pages =        "105--115",
  note =         "(In Japanese)",
}

@Article{int:Tsuchiya5,
  author =       "T. Tsuchiya",
  title =        "Dual standard form linear programming problems and
                 {K}armarkar's canonical form",
  journal =      "Lecture Note of the Research Institute of Statistical
                 Mathematics",
  volume =       "676",
  year =         "1988",
  pages =        "330--336",
  note =         "(In Japanese)",
}

@Article{int:Tsuchiya6,
  author =       "T. Tsuchiya",
  title =        "Global convergence property of the affine scaling
                 methods for primal degenerate linear programming
                 problems",
  journal =      "Mathematics of Operations Research",
  volume =       "17",
  number =       "3",
  year =         "1992",
  pages =        "527--557",
}

@TechReport{int:Tsuchiya7,
  author =       "T. Tsuchiya",
  title =        "Local analysis of {Iri and Imai's} method for
                 degenerate linear programming problems",
  type =         "{Research Memorandum (in preparation)}",
  year =         "1991",
  institution =  "The Institute of Statistical Mathematics",
  address =      "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan",
  note =         "This report has been finished as Tsuchiya
                 \cite{int:Tsuchiya8}",
}

@TechReport{int:Tsuchiya8,
  author =       "T. Tsuchiya",
  title =        "Quadratic convergence of {Iri and Imai's} method for
                 degenerate linear programming problems",
  type =         "{Research Memorandum}",
  number =       "412",
  year =         "1991",
  institution =  "The Institute of Statistical Mathematics",
  address =      "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan",
  note =         "Tentatively accepted for publication in {\em Journal
                 of Optimization Theory and Applications}",
}

@PhdThesis{int:Tsuchiya9,
  author =       "T. Tsuchiya",
  title =        "A study on the global and local convergence properties
                 of the interior point algorithms for linear
                 programming",
  year =         "1991",
  school =       "Faculty of Engineering, The University of Tokyo",
  address =      "Tokyo, Japan",
  note =         "(In Japanese)",
}

@TechReport{int:Tsuchiya10,
  author =       "T. Tsuchiya and M. Muramatsu",
  title =        "Global convergence of the long--step affine scaling
                 algorithm for degenerate linear programming problems",
  type =         "{Research Memorandum}",
  number =       "423",
  year =         "1992",
  month =        jan,
  institution =  "The Institute of Statistical Mathematics",
  address =      "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan",
  note =         "Revised September 1992",
}

@TechReport{int:Tsuchiya11,
  author =       "T. Tsuchiya",
  title =        "Global convergence of the affine scaling algorithm for
                 primal degenerate strictly convex quadratic programming
                 problems",
  type =         "{Research Memorandum}",
  number =       "417",
  year =         "1991",
  month =        aug,
  institution =  "The Institute of Statistical Mathematics",
  address =      "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan",
  note =         "To appear in {\em Annals of Operations Research}",
}

@TechReport{int:Tsuchiya12,
  author =       "T. Tsuchiya and R. D. C. Monteiro",
  title =        "Superlinear convergence of the affine scaling
                 algorithm",
  type =         "{Research Memorandum}",
  year =         "1992",
  month =        nov,
  institution =  "The Institute of Statistical Mathematics",
  address =      "4--6--7~Minami--Azabu, Minato--ku, Tokyo~106, Japan",
}

@TechReport{int:Tuncel1,
  author =       "L. Tun{\c c}el",
  title =        "On the convergence of primal--dual interior point
                 methods with wide neighborhoods",
  type =         "{Technical Report}",
  number =       "1003",
  year =         "1992",
  month =        may,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Tuncel2,
  author =       "L. Tun{\c c}el",
  title =        "A note on the primal--dual affine scaling algorithms",
  type =         "{Technical Report}",
  number =       "92--8",
  year =         "1992",
  month =        may,
  institution =  "Computational Optimization Project, Center for Applied
                 Mathematics, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
  note =         "For generalizations and extensions see Tun{\c c}el
                 \cite{int:Tuncel4}",
}

@TechReport{int:Tuncel3,
  author =       "L. Tun{\c c}el and M. J. Todd",
  title =        "Asymptotic behavior of interior--point methods\ :\ {A}
                 view from semi--infinite programming",
  type =         "{Technical Report}",
  number =       "1031",
  year =         "1992",
  month =        sep,
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Tuncel4,
  author =       "L. Tun{\c c}el",
  title =        "Constant potential primal--dual algorithms~:\ {A}
                 framework",
  type =         "{Technical Report}",
  number =       "1018",
  year =         "1992",
  institution =  "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@TechReport{int:Tuncel5,
  author =       "L. Tun{\c c}el",
  title =        "A pseudo--polynomial complexity analysis for
                 interior--point algorithms",
  type =         "{Research Report}",
  number =       "93--16",
  year =         "1993",
  institution =  "Dept.\,of Combinatorics and Optimization, Faculty of
                 Mathematics, University of Waterloo",
  address =      "Waterloo, Ontario, Canada",
}

@TechReport{int:Turner1,
  author =       "K. Turner",
  title =        "A variable metric variant of the {K}armarkar algorithm
                 for linear programming",
  type =         "{Technical Report}",
  number =       "TR--87--13",
  year =         "1987",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@Article{int:Turner2,
  author =       "K. Turner",
  title =        "Computing projections for the {K}armarkar algorithm",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "141--154",
}

@TechReport{int:Vaidya1,
  author =       "P. M. Vaidya",
  title =        "Linear programming and the center of a polytope",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@InCollection{int:Vaidya2,
  author =       "P. M. Vaidya",
  title =        "A locally well--behaved potential function and a
                 simple {N}ewton--type method for finding the center of
                 a polytope",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer Verlag",
  address =      "New York",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "79--90",
}

@TechReport{int:Vaidya3,
  author =       "P. M. Vaidya",
  title =        "A new algorithm for minimizing a convex function over
                 convex sets",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Vaidya4,
  author =       "P. M. Vaidya",
  title =        "An algorithm for linear programming which requires
                 ${O((m + n)n^2 + (m + n)^{1.5}nL)}$ arithmetic
                 operations",
  journal =      "Mathematical Programming",
  volume =       "47",
  year =         "1990",
  pages =        "175--201",
  note =         "Condensed version in~: {\em Proceedings of the 19th
                 Annual ACM Symposium on Theory of Computing}, pages
                 29--38, 1987",
}

@InCollection{int:Vaidya5,
  author =       "P. M. Vaidya",
  title =        "Reducing the parallel complexity of certain linear
                 programming problems",
  booktitle =    "Proceedings of the 31st Annual Symposium on
                 Foundations of Computer Science, St.~Louis, MO, USA,
                 October 1990",
  year =         "1990",
  pages =        "583--589",
  publisher =    "IEEE Computer Society Press",
  address =      "Los Alamitos, CA, USA",
}

@InCollection{int:Vaidya6,
  author =       "P. M. Vaidya",
  title =        "Speeding--up linear programming using fast matrix
                 multiplication",
  booktitle =    "Proceedings of the 30th Annual Symposium on
                 Foundations of Computer Science, Research Triangle
                 Park, NC, USA, 1989",
  year =         "1990",
  pages =        "332--337",
  publisher =    "IEEE Computer Society Press",
  address =      "Los Alamitos, CA, USA",
}

@InCollection{int:Vaidya7,
  author =       "P. M. Vaidya",
  title =        "A new algorithm for minimizing a convex function over
                 convex sets",
  booktitle =    "Proceedings of the 30th Annual Symposium on
                 Foundations of Computer Science, Research Triangle
                 Park, NC, USA, 1989",
  year =         "1990",
  pages =        "338--343",
  publisher =    "IEEE Computer Society Press",
  address =      "Los Alamitos, CA, USA",
}

@TechReport{int:Vandenberghe1,
  author =       "L. Vandenberghe and S. Boyd",
  title =        "Primal--dual potential reduction method for problems
                 involving matrix inequalities",
  type =         "{Technical Report}",
  year =         "1993",
  month =        jan,
  institution =  "Information Systems Laboratory, Dept.\ of Electrical
                 Engineering, Stanford University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Vanderbei1,
  author =       "R. J. Vanderbei",
  title =        "A rescaled orthant variant of {K}armarkar's
                 algorithm",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Holmdel, NJ~07733, USA",
}

@TechReport{int:Vanderbei2,
  author =       "R. J. Vanderbei",
  title =        "The affine--scaling algorithm and primal degeneracy",
  type =         "{Talk held at the Second Asilomar Workshop on Progress
                 in Mathematical Programming, Asimolar Conference
                 Center, Pacific Grove, CA, USA}",
  year =         "1987",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Misc{int:Vanderbei3,
  author =       "R. J. Vanderbei",
  title =        "Methods and apparatus for efficient resource
                 allocation",
  howpublished = "U.S.~Patent No.~4.744.026",
  year =         "1988",
  note =         "AT~\&~T Bell Laboratories, Murray Hill, NJ~07974,
                 USA",
}

@Article{int:Vanderbei4,
  author =       "R. J. Vanderbei",
  title =        "Affine--scaling for linear programs with free
                 variables",
  journal =      "Mathematical Programming",
  volume =       "43",
  year =         "1989",
  pages =        "31--44",
}

@TechReport{int:Vanderbei5,
  author =       "R. J. Vanderbei",
  title =        "New developments in the affine--scaling algorithm for
                 {LP}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@InCollection{int:Vanderbei6,
  author =       "R. J. Vanderbei and J. C. Lagarias",
  title =        "{I. I. Dikin's} convergence result for the
                 affine--scaling algorithm",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "109--119",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@Article{int:Vanderbei7,
  author =       "R. J. Vanderbei and M. S. Meketon and B. A. Freedman",
  title =        "A modification of {K}armarkar's linear programming
                 algorithm",
  journal =      "Algorithmica",
  volume =       "1",
  number =       "4",
  year =         "1986",
  pages =        "395--407",
}

@TechReport{int:Vanderbei8,
  author =       "R. J. Vanderbei",
  title =        "Efficient handling of dense columns in linear and
                 quadratic programs",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "10~Knob Hill Road, Morganville, NJ~07751, USA",
}

@Article{int:Vanderbei9,
  author =       "R. J. Vanderbei",
  title =        "Splitting dense columns in sparse linear systems",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "107--117",
}

@TechReport{int:Vanderbei10,
  author =       "R. J. Vanderbei",
  title =        "Symmetric quasi--definite matrices",
  type =         "{Technical Report}",
  number =       "SOL~91--10",
  year =         "1991",
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@Article{int:Vanderbei11,
  author =       "R. J. Vanderbei and T. J. Carpenter",
  title =        "Symmetric indefinite systems for interior point
                 methods",
  journal =      "Mathematical Programming",
  volume =       "58",
  year =         "1993",
  pages =        "1--32",
}

@TechReport{int:Vanderbei12,
  author =       "R. J. Vanderbei",
  title =        "{ALPO~: Another linear program solver}",
  type =         "{Manuscript}",
  year =         "1990",
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "Revised May 1991, Dept.\ of Civil Engineering and
                 Operations Research, Princeton University, Princeton,
                 NJ~08544, USA",
}

@TechReport{int:Vanderbei13,
  author =       "R. J. Vanderbei",
  title =        "{Performance of the AT~\&~T KORBX System}",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "AT~\&~T Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@Article{int:Vanderbei14,
  author =       "R. J. Vanderbei",
  title =        "{A brief description of ALPO}",
  journal =      "Operations Research Letters",
  volume =       "10",
  year =         "1991",
  pages =        "531--534",
}

@InProceedings{int:Vanderbei15,
  author =       "R. J. Vanderbei",
  title =        "Dense columns and interior--point methods for {LP}",
  booktitle =    "Proceedings of the IMACS'91 World Congress on
                 Computation and Applied Mathematics in Dublin,
                 Ireland",
  year =         "1991",
  month =        jul,
}

@TechReport{int:Vanderbei16,
  author =       "R. J. Vanderbei",
  title =        "Robust optimization~:~{S}olution methologies with
                 interior point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Vanderbei17,
  author =       "R. J. Vanderbei",
  title =        "Primal--dual symmetric formulations of the
                 predictor--corrector method for {QP}",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Vanderbei18,
  author =       "R. J. Vanderbei",
  title =        "{LOQO User's Manual}",
  type =         "{Technical Report}",
  number =       "SOL~92--05",
  year =         "1992",
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Vanderbei19,
  author =       "R. J. Vanderbei",
  title =        "{Interior--point methods for mathematical
                 programming~:\ Theory and practice}",
  type =         "{Unpublished Manuscript}",
  year =         "1990",
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@TechReport{int:Vanderbei20,
  author =       "R. J. Vanderbei",
  title =        "Affine--scaling trajectories associated with a
                 semi--infinite linear program",
  type =         "{Technical Report}",
  number =       "SOR--92--18",
  year =         "1992",
  month =        dec,
  institution =  "Dept.\ of Civil Engineering and Operations Research,
                 Princeton University",
  address =      "Princeton, NJ~08544, USA",
}

@InProceedings{int:Vannelli1,
  author =       "A. Vannelli",
  title =        "An interior point method for solving the global
                 routing problem",
  booktitle =    "Proceedings of the IEEE Custom Integrated Circuits
                 Conference, San Diego, CA, USA, May 1988",
  year =         "1989",
  pages =        "3.4.1--3.4.4",
}

@TechReport{int:Vannelli2,
  author =       "A. Vannelli and E. Klein",
  title =        "A {C}holesky--conjugate gradient implementation of
                 {K}armarkar's algorithm",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@Article{int:Vannelli3,
  author =       "A. Vannelli",
  title =        "An adaptation of the interior point method for solving
                 the global routing problem",
  journal =      "IEEE Transactions on Computer--Aided Design of
                 Integrated Circuits and Systems",
  volume =       "10",
  number =       "2",
  year =         "1991",
  month =        feb,
  pages =        "193--203",
}

@Article{int:Vannelli4,
  author =       "A. Vannelli and L. Vargas and V. H. Quintana",
  title =        "Interior point optimization methods~:\ {Theory},
                 implementations and engineering applications",
  journal =      "Canadian Journal of Electrical and Computer
                 Engineering",
  volume =       "117",
  year =         "1992",
  pages =        "84--94",
}

@InProceedings{int:Vannelli5,
  author =       "A. Vannelli",
  title =        "A parallel implementation of an interior point method
                 for linear programming",
  booktitle =    "Parallel Processing for Scientific Computing (Houston
                 Texas, USA), 1991",
  year =         "1992",
  pages =        "163--167",
  publisher =    "SIAM",
  address =      "Philadelphia, USA",
}

@TechReport{int:Vargas1,
  author =       "L. Vargas and V. H. Quintana and A. Vannelli",
  title =        "A tutorial description of an interior point method and
                 its applications to security--constrained economic
                 dispatch",
  type =         "{Technical Report}",
  year =         "1991",
  institution =  "Faculty of Engineering, Dept.\ of Electrical
                 Engineering, University of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
  note =         "To appear in {\em IEEE Transactions on Power Systems,
                 February 1993}",
}

@Article{int:Venkaiah1,
  author =       "V. C. Venkaiah",
  title =        "An efficient algorithm for linear programming",
  journal =      "Proceedings of the Indian Academy of Sciences,
                 Mathematical Sciences",
  volume =       "100",
  number =       "3",
  year =         "1990",
  pages =        "205--301",
  note =         "See also K{\"a}schel\,\cite{int:Kaeschel2}",
}

@InCollection{int:Vial1,
  author =       "J. P. Vial",
  title =        "Approximate projections in a projective method for the
                 linear feasibility problem",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer Verlag",
  address =      "New York",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "65--78",
}

@Article{int:Vial2,
  author =       "J. P. Vial",
  title =        "A Fully Polynomial-Time Projective Method",
  journal =      "Operations Research Letters",
  volume =       "7",
  year =         "1988",
  pages =        "15--19",
}

@InCollection{int:Vial3,
  author =       "J. P. Vial",
  title =        "A unified approach to projective algorithms for linear
                 programming",
  booktitle =    "Optimization~: Proceedings of the 5th French--German
                 Conference in Castel--Novel, Varetz, France, October
                 1988",
  editor =       "S. Dolecki",
  year =         "1989",
  pages =        "191--220",
  series =       "Lecture Notes in Mathematics",
  volume =       "1405",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@InCollection{int:Vial4,
  author =       "J. P. Vial",
  title =        "Decomposition of structured linear programs based on
                 analytic centers",
  year =         "1991",
  pages =        "190--203",
  series =       "Lecture Notes in Economics and Mathematical Systems",
  volume =       "353",
  publisher =    "Springer Verlag",
  address =      "Berlin, West--Germany",
}

@InCollection{int:Vial5,
  author =       "J. P. Vial",
  title =        "Computational experience with a primal--dual
                 interior--point method for smooth convex programming",
  booktitle =    "Symposium on Applied Mathematical Programming and
                 Modeling (APMOD '93), Budapest, Hungary, January 1993,
                 Volume of Extended Abstracts",
  editor =       "I. Maros",
  year =         "1992",
  month =        dec,
  pages =        "583--586",
  publisher =    "Computer and Automation Institute, Hungarian Academy
                 of Sciences",
  address =      "Budapest, Hungary",
}

@InCollection{int:Vorst1,
  author =       "{J. G. G. van der} Vorst",
  title =        "An attempt to use parallel computing in large scale
                 optimisation",
  booktitle =    "Logistics, Where Ends Have to Meet~: Proceedings of
                 the Shell Conference on Logistics in Apeldoorn, The
                 Netherlands, November 1988",
  editor =       "{C. F. H. van} Rijn",
  year =         "1989",
  pages =        "112--119",
  publisher =    "Pergamon Press",
  address =      "Oxford, United Kingdom",
}

@InCollection{int:Vorst2,
  author =       "{J. G. G. van de} Vorst",
  title =        "A parallel implementation of the {K}armarkar algorithm
                 using a parallel linear algebra library",
  booktitle =    "Parallel Computing 1988, Proceedings of the SHELL
                 Conference, Amsterdam, The Netherlands, June 1988",
  editor =       "G. A. van Zee and J. G. G. van de Vorst",
  year =         "1988",
  pages =        "127--135",
  series =       "Lecture Notes in Computer Science",
  volume =       "384",
  publisher =    "Springer Verlag",
  address =      "Berlin, Germany",
}

@TechReport{int:Vucetic1,
  author =       "V. Vucetic",
  title =        "Active set strategies in linear programming using
                 barrier functions",
  type =         "{Talk held at the TIMS/SOBRAPO Joint International
                 Meeting in Rio de Janeiro, Brazil}",
  year =         "1991",
  month =        jul,
  institution =  "Energoinvest--Sou",
  address =      "Tvornicka~3, YU--71000~Sarajevo, Yugoslavia",
}

@Article{int:Wallacher1,
  author =       "C. Wallacher and U. Zimmermann",
  title =        "A combinatorial interior point method for network flow
                 problems",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1992",
  pages =        "321--335",
}

@PhdThesis{int:Wang1,
  author =       "Y. Wang",
  title =        "A study of projective algorithms for linear and convex
                 quadratic programming",
  year =         "1992",
  month =        jan,
  school =       "School of Operations Research and Industrial
                 Engineering, Cornell University",
  address =      "Ithaca, NY~14853--3801, USA",
}

@Article{int:Wang2,
  author =       "Y. Wang and G. C. Feng and T. Z. Liu",
  title =        "An interior point algorithm for convex nonlinear
                 programming problems",
  journal =      "Numerical Mathematics (A Journal of Chinese
                 Universities, English Series)",
  volume =       "1",
  number =       "1",
  year =         "1993",
}

@InProceedings{int:Wanka1,
  author =       "A. Wanka",
  title =        "Interior and exterior methods for linear programming",
  booktitle =    "Operations Research Proceedings 1988",
  editor =       "D. Pressmar and K. E. Jaeger and H. Krallmann and H.
                 Schellhaas and L. Streitfeldt",
  year =         "1989",
  pages =        "214--221",
  address =      "Springer Verlag, Berlin, West--Germany",
}

@Article{int:Wei1,
  author =       "Z. L. Wei",
  title =        "An exact solution to linear programming using an
                 interior point method",
  journal =      "Journal of Computational Mathematics",
  volume =       "5",
  year =         "1987",
  pages =        "264--271",
}

@Article{int:Wei2,
  author =       "Z. L. Wei",
  title =        "An interior point method for linear programming",
  journal =      "Journal of Computational Mathematics",
  volume =       "5",
  year =         "1987",
  pages =        "342--351",
}

@Article{int:Wei3,
  author =       "Z. L. Wei",
  title =        "Some recent developments in linear programming",
  journal =      "Mathematics in Practice and Theory",
  volume =       "3",
  year =         "1988",
  pages =        "82--89",
  note =         "(In Chinese)",
}

@InBook{int:Werner1,
  author =       "J. Werner",
  title =        "Numerische Mathematik~2 (Numerical Mathematics~2)",
  chapter =      "6.4~: {Das Karmarkar Verfahren (The Karmarkar
                 algorithm)}",
  year =         "1992",
  pages =        "128--141",
  publisher =    "Vieweg Verlag",
  address =      "Braunschweig, Germany",
}

@TechReport{int:Whisman1,
  author =       "A. W. Whisman",
  title =        "Optimization modelling in the military airlift
                 command",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "CINCMAC Analysis Group, HQ~MAC/AG",
  address =      "Scott AFB, IL~62225, USA",
}

@TechReport{int:White1,
  author =       "D. J. White",
  title =        "Linear programming and {H}uard's method of centres",
  type =         "{Working Paper}",
  year =         "1989",
  institution =  "Universities of Manchester and Virginia",
  address =      "Manchester, United Kingdom",
}

@MastersThesis{int:Wiegers1,
  author =       "R. M. Wiegers",
  title =        "Implementation of the primal--dual interior point
                 method for linear programming on a transputer network",
  year =         "1990",
  month =        jun,
  school =       "Faculty of Electrical Engineering, Delft University of
                 Technology",
  address =      "NL--2628~BL~Delft, The Netherlands",
}

@Article{int:Wild1,
  author =       "W. G. Wild and O. Port",
  title =        "The startling discovery {Bell Labs} kept in the
                 shadows",
  journal =      "{Business Week}",
  year =         "1987",
  month =        sep # " 21st",
}

@TechReport{int:Williams1,
  author =       "R. O. Williams",
  title =        "An implementation of the affine scaling algorithm for
                 linear programming problems with network constraints",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Management Science, California State
                 University",
  address =      "Northridge, Los Angeles, CA~90024, USA",
}

@TechReport{int:Wilson1,
  author =       "J. Wilson",
  title =        "A barrier function approach to mixed integer
                 programming",
  type =         "{Talk held at the Symposium APMOD~'91---Applied
                 Mathematical Programming and Modelling, Brunel
                 University, London, UK}",
  year =         "1991",
  month =        jan,
  institution =  "Loughborough University",
  address =      "Loughborough, UK",
}

@InBook{int:Winston1,
  author =       "W. L. Whinston",
  title =        "Operations Research\ :\ Applications and Algorithms",
  chapter =      "4--13~: {K}armarkar's method for solving {LPs}, pages
                 178--179, chapter 10--6~: {K}armarkar's method for
                 solving {LPs}",
  year =         "1992",
  pages =        "569--574",
  publisher =    "PWS--Kent Publishing Company",
  address =      "Boston, USA",
  edition =      "second",
}

@InCollection{int:Witzgall1,
  author =       "C. Witzgall and P. T. Boggs and P. D. Domich",
  title =        "On the convergence behavior of trajectories for linear
                 programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "161--187",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Witzgall2,
  author =       "C. Witzgall and P. T. Boggs and P. D. Domich",
  title =        "On center trajectories and their relatives in linear
                 programming",
  type =         "{NISTIR Technical Report (in preparation)}",
  year =         "1991",
  institution =  "United States Department of Commerce, Applied and
                 Computational Mathematics Division, National Institute
                 of Standards and Technology",
  address =      "Gaithersburg, MD~20899, USA",
  note =         "First draft in April 1988",
}

@TechReport{int:Wolkowicz1,
  author =       "H. Wolkowicz and A. {Ben--Israel}",
  title =        "A volume and constraint reducing algorithm for linear
                 programming",
  type =         "{Technical Report}",
  year =         "1986",
  institution =  "Dept.\ of Combinatorics and Optimization, University
                 of Waterloo",
  address =      "Waterloo, Ontario~N2L~3G1, Canada",
}

@TechReport{int:Wright1,
  author =       "M. H. Wright",
  title =        "Issues of numerical analysis in barrier trajectory
                 methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "See Wright \cite{int:Wright7,int:Wright9}, and Murray
                 and Wright \cite{int:Murray3}",
}

@TechReport{int:Wright2,
  author =       "M. H. Wright",
  title =        "Interior methods for nonlinearly constrained
                 optimization",
  type =         "{Talk held at the SIAM Annual Meeting in Chicago, IL,
                 USA}",
  year =         "1990",
  month =        jul,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "See Wright \cite{int:Wright7,int:Wright9}, and Murray
                 and Wright \cite{int:Murray3}",
}

@TechReport{int:Wright3,
  author =       "M. H. Wright",
  title =        "Why a pure primal {Newton} barrier step may be
                 infeasible",
  type =         "{Technical Report}",
  number =       "93--02",
  year =         "1993",
  month =        mar,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:Wright4,
  author =       "M. H. Wright",
  title =        "Strategies in path--following methods for nonlinear
                 constraints",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "See Wright \cite{int:Wright7,int:Wright9}, and Murray
                 and Wright \cite{int:Murray3}",
}

@TechReport{int:Wright5,
  author =       "M. H. Wright",
  title =        "Linear algebra issues in interior methods",
  type =         "{Talk held at the Fourth SIAM Conference on Applied
                 Linear Algebra in Minneapolis, MN, USA}",
  year =         "1991",
  month =        sep,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "See Wright \cite[Section\ 7]{int:Wright9}",
}

@Article{int:Wright6,
  author =       "M. H. Wright",
  title =        "A brief history of linear programming",
  journal =      "SIAM News",
  volume =       "18",
  number =       "3",
  year =         "1985",
  month =        nov,
  pages =        "4",
}

@InCollection{int:Wright7,
  author =       "M. H. Wright",
  title =        "Interior methods for constrained optimization",
  booktitle =    "Acta Numerica~1992",
  editor =       "A. Iserles",
  year =         "1992",
  pages =        "341--407",
  publisher =    "Cambridge University Press",
  address =      "New York, USA",
}

@TechReport{int:Wright8,
  author =       "M. H. Wright",
  title =        "Interior point methods for large--scale nonlinear
                 optimization problems",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
  note =         "See Wright \cite{int:Wright9}",
}

@TechReport{int:Wright9,
  author =       "M. H. Wright",
  title =        "Determining subspace information from the {Hessian} of
                 a barrier function",
  type =         "{Numerical Analysis Manuscript}",
  number =       "92--02",
  year =         "1992",
  institution =  "AT~\&~T~Bell Laboratories",
  address =      "Murray Hill, NJ~07974, USA",
}

@TechReport{int:SWright1,
  author =       "S. J. Wright",
  title =        "An interior point algorithm for linearly constrained
                 optimization",
  type =         "{Technical Report}",
  number =       "MCS--P162--0790",
  year =         "1990",
  month =        jul,
  institution =  "Mathematical and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
  note =         "To appear in {\em SIAM Journal on Optimization}",
}

@TechReport{int:SWright2,
  author =       "S. J. Wright",
  title =        "Interior point methods for optimal control of
                 discrete--time systems",
  type =         "{Technical Report}",
  number =       "MCS--P226--0491",
  year =         "1991",
  month =        apr,
  institution =  "Mathematical and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
  note =         "To appear in {\em Journal on Optimization Theory and
                 Applications}",
}

@InCollection{int:SWright3,
  author =       "S. J. Wright",
  title =        "Structured interior point methods for optimal
                 control",
  booktitle =    "Proceedings of the 30th Conference on Decision and
                 Control",
  year =         "1991",
  month =        dec,
  pages =        "1711--1716",
  publisher =    "IEEE Control Society",
}

@TechReport{int:SWright4,
  author =       "S. J. Wright",
  title =        "Structured interior point methods for stagewise
                 extended linear quadratic programming {(ELQP)}
                 problems",
  type =         "{Talk held at the American Control Conference}",
  year =         "1992",
  month =        jun,
  institution =  "Mathematical and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
  note =         "{Technical Report} in preparation",
}

@TechReport{int:SWright5,
  author =       "S. J. Wright",
  title =        "An infeasible interior point algorithm for linear
                 complementarity problems",
  type =         "{Technical Report}",
  number =       "MCS--P331--1092",
  year =         "1992",
  month =        oct,
  institution =  "Mathematical and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
}

@TechReport{int:SWright6,
  author =       "S. J. Wright",
  title =        "Convergence of an interior--point algorithm for linear
                 complementarity problems under weak assumptions",
  type =         "{Technical Report}",
  number =       "MCS--P340--1192",
  year =         "1992",
  month =        oct,
  institution =  "Mathematical and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
}

@TechReport{int:SWright7,
  author =       "S. J. Wright",
  title =        "A superlinear infeasible--interior--point algorithm
                 for monotone nonlinear complementarity problems",
  type =         "{Technical Report}",
  number =       "MCS--P344--1292",
  year =         "1993",
  month =        jan,
  institution =  "Mathematical and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
  note =         "Submitted to {\em Mathematics of Operations
                 Research}",
}

@TechReport{int:SWright8,
  author =       "S. J. Wright",
  title =        "A path--following infeasible--interior--point
                 algorithm for linear complementarity problems",
  type =         "{Technical Report}",
  number =       "MCS--P334--1292",
  year =         "1992",
  month =        nov,
  institution =  "Mathematical and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL~60439, USA",
  note =         "Revised January 1993. Submitted to {\em Optimization
                 Methods and Software}",
}

@Article{int:Wu1,
  author =       "S. Q. Wu and F. Wu",
  title =        "New algorithms for linear programming",
  journal =      "Acta Mathematica Applicatae Sinica (English Series)",
  volume =       "8",
  number =       "1",
  year =         "1992",
  pages =        "18--26",
}

@Article{int:Wu2,
  author =       "S. Q. Wu and F. Wu",
  title =        "A direct ellipsoid method for linear programming",
  journal =      "Bulletin of the Australian Matehmatical Society",
  volume =       "47",
  number =       "1",
  year =         "1993",
  pages =        "73--78",
}

@TechReport{int:Xiao1,
  author =       "D. Xiao",
  title =        "Fractional linear functions and the analysis of
                 variants of {K}armarkar's method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Xiao2,
  author =       "D. Xiao and D. Goldfarb",
  title =        "A primal projective interior point method for linear
                 programming",
  type =         "{Talk held at the CORS/ORSA/TIMS Joint National
                 Meeting in Vancouver, British Columbia, Canada}",
  year =         "1989",
  month =        may,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Xiao3,
  author =       "D. Xiao and D. Goldfarb",
  title =        "A path--following projective interior point method for
                 linear programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@TechReport{int:Xiao4,
  author =       "D. Xiao and D. Goldfarb",
  title =        "On the complexity of a class of projective interior
                 point methods",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
  note =         "See Goldfarb and Xiao \cite{int:Goldfarb14}",
}

@PhdThesis{int:Xiao5,
  author =       "D. Xiao",
  title =        "Projective interior point methods for linear
                 programming",
  year =         "1991",
  school =       "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Xu1,
  author =       "S. R. Xu and H. B. Yao and Y. Q. Chen",
  title =        "An improved {Karmarkar} algorithm for linear
                 programming and its numerical tests",
  journal =      "Mathematica Applicata",
  volume =       "5",
  number =       "1",
  year =         "1992",
  pages =        "14--21",
  note =         "(In Chinese, English summary)",
}

@TechReport{int:Yamashita1,
  author =       "H. Yamashita",
  title =        "A polynomially and quadratically convergent method for
                 linear programming",
  type =         "{Working Paper}",
  year =         "1986",
  institution =  "Mathematical Systems Institute, Inc.",
  address =      "Tokyo, Japan",
}

@TechReport{int:Yamashita2,
  author =       "H. Yamashita",
  title =        "A class of primal dual method for constrained
                 optimization",
  type =         "{Working Paper}",
  year =         "1991",
  institution =  "Mathematical Systems Institute, Inc.",
  address =      "Tokyo, Japan",
}

@TechReport{int:Yamashita3,
  author =       "H. Yamashita and T. Tanabe",
  title =        "A primal--dual interior point method for linear and
                 nonlinear programming",
  type =         "{Talk held at the Fourth SIAM Conference on
                 Optimization in Chicago, IL, USA}",
  year =         "1992",
  month =        may,
  institution =  "Mathematical Systems Institute, Inc.",
  address =      "Tokyo, Japan",
}

@TechReport{int:Yang1,
  author =       "E. K. Yang and W. S. Hwang",
  title =        "An interior point method for dynamic {L}eontief type
                 linear programs",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Las Vegas, NV, USA}",
  year =         "1990",
  month =        may,
  institution =  "Institute of Applied Mathematics, Tsing Hua
                 University",
  address =      "Hsinchu, 30043, People Republic of China",
  note =         "See Yang and Hwang \cite{int:Yang2}",
}

@Article{int:Yang2,
  author =       "E. K. Yang and W. S. Hwang",
  title =        "A barrier method for dynamic {Leontief} type linear
                 programs",
  journal =      "European Journal of Operational Research",
  volume =       "60",
  year =         "1992",
  pages =        "296--305",
}

@TechReport{int:Ye1,
  author =       "Y. Ye",
  title =        "A large group of projections for linear programming",
  type =         "{Working Paper}",
  year =         "1985",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye2,
  author =       "Y. Ye",
  title =        "Cutting current--objective method in projective
                 algorithm for linear programming",
  type =         "{Working Paper}",
  year =         "1985",
  month =        feb,
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye3,
  author =       "Y. Ye",
  title =        "Cutting--objective and scaling methods---a polynomial
                 algorithm for linear programming",
  type =         "{Working Paper}",
  year =         "1985",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
  note =         "Submitted to {\em Mathematical Programming}",
}

@TechReport{int:Ye4,
  author =       "Y. Ye",
  title =        "Barrier projection and sliding current objective
                 method for linear programming",
  type =         "{Talk held at the 12th Mathematical Programming
                 Symposium, Boston, MA, USA}",
  year =         "1985",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@PhdThesis{int:Ye5,
  author =       "Y. Ye",
  title =        "Interior algorithms for linear, quadratic, and
                 linearly constrained convex programming",
  year =         "1987",
  school =       "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye6,
  author =       "Y. Ye",
  title =        "Dual approach of {K}armarkar's algorithm and the
                 ellipsoid method",
  type =         "{Working Paper}",
  year =         "1987",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye7,
  author =       "Y. Ye",
  title =        "Further development on the interior algorithm for
                 convex quadratic programming",
  type =         "{Working Paper}",
  year =         "1987",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Ye8,
  author =       "Y. Ye",
  title =        "Karmarkar's algorithm and the ellipsoid method",
  journal =      "Operations Research Letters",
  volume =       "6",
  year =         "1987",
  pages =        "177--182",
}

@Article{int:Ye9,
  author =       "Y. Ye",
  title =        "An ${O(n^{3}L)}$ potential reduction algorithm for
                 linear programming",
  journal =      "Mathematical Programming",
  volume =       "50",
  year =         "1991",
  pages =        "239--258",
}

@TechReport{int:Ye10,
  author =       "Y. Ye",
  title =        "The ''build--down'' scheme for path--following
                 algorithms",
  type =         "{Technical Report}",
  year =         "1988",
  institution =  "Integrated Systems Inc.",
  address =      "Santa Clara, CA, USA",
}

@TechReport{int:Ye11,
  author =       "Y. Ye",
  title =        "A class of potential functions for linear
                 programming",
  type =         "Management Science Working Paper",
  number =       "88--13",
  year =         "1988",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye12,
  author =       "Y. Ye",
  title =        "Potential functions and polytopes",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 New York, NY, USA}",
  year =         "1989",
  month =        oct,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye13,
  author =       "Y. Ye",
  title =        "Eliminating columns and rows in potential reduction
                 and path--following algorithms for linear programming",
  type =         "{Working Paper Series}",
  number =       "89--7",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@InCollection{int:Ye14,
  author =       "Y. Ye",
  title =        "An extension of {K}armarkar's algorithm and the trust
                 region method for quadratic programming",
  booktitle =    "Progress in Mathematical Programming~: Interior Point
                 and Related Methods",
  publisher =    "Springer Verlag",
  address =      "New York",
  editor =       "N. Megiddo",
  year =         "1989",
  pages =        "49--64",
}

@Article{int:Ye15,
  author =       "Y. Ye",
  title =        "Comparative analysis of affine scaling algorithms
                 based on simplifying assumptions",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1991",
  pages =        "405--414",
}

@Article{int:Ye16,
  author =       "Y. Ye",
  title =        "A ''build--down'' scheme for linear programming",
  journal =      "Mathematical Programming",
  volume =       "46",
  year =         "1990",
  pages =        "61--72",
}

@Article{int:Ye17,
  author =       "Y. Ye",
  title =        "A class of projective transformations for linear
                 programming",
  journal =      "SIAM Journal on Computing",
  volume =       "19",
  year =         "1990",
  pages =        "457--466",
}

@Article{int:Ye18,
  author =       "Y. Ye",
  title =        "Recovering optimal basic variables in {K}armarkar's
                 polynomial algorithm for linear programming",
  journal =      "Mathematics of Operations Research",
  volume =       "15",
  year =         "1990",
  pages =        "564--572",
}

@TechReport{int:Ye19,
  author =       "Y. Ye",
  title =        "Complexity analysis on {K}armarkar's algorithm",
  type =         "{Manuscript}",
  year =         "1990",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@Article{int:Ye20,
  author =       "Y. Ye and M. Kojima",
  title =        "Recovering optimal dual solutions in {K}armarkar's
                 polynomial algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "39",
  year =         "1987",
  pages =        "305--317",
}

@Article{int:Ye21,
  author =       "Y. Ye and P. M. Pardalos",
  title =        "A class of linear complementarity problems solvable in
                 polynomial time",
  journal =      "Linear Algebra and Its Applications",
  volume =       "152",
  year =         "1991",
  pages =        "3--17",
}

@Article{int:Ye22,
  author =       "Y. Ye and M. J. Todd",
  title =        "Containing and shrinking ellipsoids in the
                 path--following algorithm",
  journal =      "Mathematical Programming",
  volume =       "47",
  year =         "1990",
  pages =        "1--10",
}

@TechReport{int:Ye23,
  author =       "Y. Ye and E. Tse",
  title =        "A polynomial--time algorithm for convex quadratic
                 programming",
  type =         "{Working Paper}",
  year =         "1986",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Ye24,
  author =       "Y. Ye and E. Tse",
  title =        "An extension of {K}armarkar's projective algorithm for
                 convex quadratic programming",
  journal =      "Mathematical Programming",
  volume =       "44",
  year =         "1989",
  pages =        "157--179",
}

@InCollection{int:Ye25,
  author =       "Y. Ye",
  title =        "A further result on the potential reduction algorithm
                 for the {$P$}--matrix linear complementarity problem",
  booktitle =    "Advances in Optimization and Parallel Computing",
  editor =       "P. M. Pardalos",
  year =         "1992",
  pages =        "310--316",
  publisher =    "North Holland",
  address =      "Amsterdam, The Netherlands",
}

@Article{int:Ye26,
  author =       "Y. Ye",
  title =        "Interior point algorithms for global optimization",
  journal =      "Annals of Operations Research",
  volume =       "25",
  year =         "1990",
  pages =        "59--74",
}

@InCollection{int:Ye27,
  author =       "Y. Ye",
  title =        "Interior point algorithms for quadratic programming",
  booktitle =    "Recent Developments in Mathematical Programming",
  editor =       "S. Kumar",
  year =         "1991",
  publisher =    "Gordon~\& Beach Scientific Publishers",
  address =      "Philadelphia, PA, USA",
}

@TechReport{int:Ye28,
  author =       "Y. Ye",
  title =        "Line searches in potential reduction algorithm for
                 linear programming",
  type =         "Manuscript",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@Article{int:Ye29,
  author =       "Y. Ye",
  title =        "On an affine scaling algorithm for nonconvex quadratic
                 programming",
  journal =      "Mathematical Programming",
  volume =       "52",
  year =         "1992",
  pages =        "285--300",
}

@Article{int:Ye30,
  author =       "Y. Ye",
  title =        "A fully polynomial--time approximation algorithm for
                 computing a stationary point of the generalized linear
                 complementarity problem",
  journal =      "Mathematics of Operations Research",
  volume =       "18",
  year =         "1993",
  pages =        "334--345",
}

@TechReport{int:Ye31,
  author =       "Y. Ye",
  title =        "Further developments in potential reduction
                 algorithm",
  type =         "{Technical Report}",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye32,
  author =       "Y. Ye",
  title =        "Bimatrix equilibrium points and potential functions",
  type =         "{Working Paper}",
  number =       "88--16",
  year =         "1988",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye33,
  author =       "Y. Ye",
  title =        "A combinatorial property of analytic centers of
                 polytopes",
  type =         "{Manuscript}",
  year =         "1989",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye34,
  author =       "Y. Ye",
  title =        "Anticipated behavior of affine scaling algorithms for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@Article{int:Ye35,
  author =       "Y. Ye",
  title =        "On the finite convergence of interior--point
                 algorithms for linear programming",
  journal =      "Mathematical Programming",
  volume =       "57",
  year =         "1992",
  pages =        "325--335",
}

@TechReport{int:Ye36,
  author =       "Y. Ye and S. S. Chiu",
  title =        "Recovering the shadow price in projection methods for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1985",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye37,
  author =       "Y. Ye and F. A. Potra",
  title =        "An interior--point algorithm for solving entropy
                 optimization problems with globally linear and locally
                 quadratic convergence rate",
  type =         "{Working Paper Series}",
  number =       "90--22",
  year =         "1990",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
  note =         "Same as Potra and Ye \cite{int:Potra5}",
}

@TechReport{int:Ye38,
  author =       "Y. Ye",
  title =        "On the interior algorithms for nonconvex quadratic
                 programming",
  type =         "{Manuscript}",
  year =         "1988",
  institution =  "Integrated Systems, Inc.",
  address =      "Santa Clara, CA, USA",
}

@InCollection{int:Ye39,
  author =       "Y. Ye",
  title =        "An {$O(n^{3}L)$} potential reduction algorithm for
                 linear programming",
  booktitle =    "Mathematical Developments Arising from Linear
                 Programming~: Proceedings of a Joint Summer Research
                 Conference held at Bowdoin College, Brunswick, Maine,
                 USA, June/July 1988",
  editor =       "J. C. Lagarias and M. J. Todd",
  year =         "1990",
  pages =        "77--88",
  series =       "Contemporary Mathematics",
  volume =       "114",
  publisher =    "American Mathematical Society",
  address =      "Providence, Rhode Island, USA",
}

@TechReport{int:Ye40,
  author =       "Y. Ye",
  title =        "A ''build--down'' simplex--{K}armarkar method for
                 linear programming",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@Article{int:Ye41,
  author =       "Y. Ye",
  title =        "A potential reduction algorithm allowing column
                 generation",
  journal =      "SIAM Journal on Optimization",
  volume =       "2",
  year =         "1992",
  pages =        "7--20",
}

@Article{int:Ye42,
  author =       "Y. Ye and K. O. Kortanek and J. A. Kaliski and S.
                 Huang",
  title =        "Near--boundary behavior of primal--dual potential
                 reduction algorithms for linear programming",
  journal =      "Mathematical Programming",
  volume =       "58",
  year =         "1993",
  pages =        "243--255",
}

@Article{int:Ye43,
  author =       "Y. Ye and O. G{\"u}ler and R. A. Tapia and Y. Zhang",
  title =        "A quadratically convergent ${O(\sqrt{n}L)}$--iteration
                 algorithm for linear programming",
  journal =      "Mathematical Programming",
  volume =       "59",
  year =         "1993",
  pages =        "151--162",
}

@TechReport{int:Ye44,
  author =       "Y. Ye and R. A. Tapia and Y. Zhang",
  title =        "A superlinearly convergent ${O(\sqrt{n}L)}$--iteration
                 algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "TR--91--22",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Ye45,
  author =       "Y. Ye",
  title =        "Toward probabilistic analysis of interior--point
                 algorithms for linear programming",
  type =         "{Working Paper Series}",
  number =       "91--13",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye46,
  author =       "Y. Ye",
  title =        "{K}--projection and cutting--objective method for
                 linear programming",
  type =         "{Talk held at the 12th Mathematical Programming
                 Symposium, Boston, MA, USA}",
  year =         "1985",
  institution =  "Dept.\ of Engineering Economic Systems, Stanford
                 University",
  address =      "Stanford, CA~94305, USA",
}

@TechReport{int:Ye47,
  author =       "Y. Ye and J. A. Kaliski",
  title =        "Further results on build--up approaches for linear
                 programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in,
                 Anaheim, CA, USA}",
  year =         "1991",
  month =        nov,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye48,
  author =       "Y. Ye",
  title =        "The potential algorithm for linear complementarity
                 problems",
  type =         "{Technical Report}",
  year =         "1990",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@Article{int:Ye49,
  author =       "Y. Ye",
  title =        "Extensions of the potential reduction algorithm for
                 linear programming",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "72",
  number =       "3",
  year =         "1992",
  pages =        "487--498",
}

@TechReport{int:Ye50,
  author =       "Y. Ye",
  title =        "Improving the asymptotic convergence of
                 interior--point algorithms for linear programming",
  type =         "{Working Paper}",
  number =       "91--15",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye51,
  author =       "Y. Ye and K. M. Anstreicher",
  title =        "On quadratic and ${O(\sqrt{n} L)}$ convergence of a
                 predictor--corrector algorithm for the linear
                 complementary problem",
  type =         "{Working Paper}",
  number =       "91--20",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye52,
  author =       "Y. Ye",
  title =        "On the ${Q}$--order of convergence of interior--point
                 algorithms for linear programming",
  type =         "{Working Paper}",
  number =       "91--17",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye53,
  author =       "Y. Ye",
  title =        "A low complexity combined {phase~I -- phase~II}
                 potential reduction algorithm for linear programming",
  type =         "{Working Paper}",
  number =       "91--1",
  year =         "1991",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye54,
  author =       "Y. Ye",
  title =        "On the {von Neumann} economic growth problem",
  type =         "{Working Paper}",
  number =       "92--6",
  year =         "1992",
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
}

@TechReport{int:Ye55,
  author =       "Y. Ye and M. J. Todd nad S. Mizuno",
  title =        "An {$O(\sqrt{n} L)$}--iteration homogeneous and
                 self--dual linear programming algorithm",
  type =         "{Technical Report}",
  year =         "1992",
  month =        jun,
  institution =  "Dept.\ of Management Science, University of Iowa",
  address =      "Iowa City, IA~52242, USA",
  note =         "Also appeared as Technical Report 1007, School of
                 Operations Research and Industrial Engineering, Cornell
                 University, Ithaca, NY~14853--3801, USA",
}

@PhdThesis{int:Yeh1,
  author =       "Q. J. Yeh",
  title =        "A reduced dual affine scaling algorithm for solving
                 assignment and transportation problems",
  year =         "1989",
  school =       "Dept.\ of Industrial Engineering and Operations
                 Research, Columbia University",
  address =      "New York, NY~10027, USA",
}

@Article{int:Zaijan1,
  author =       "D. Zaijan",
  title =        "A modified {K}armarkar's algorithm",
  journal =      "Applied Mathematics---A Journal of Chinese
                 Universities",
  volume =       "3",
  year =         "1988",
  pages =        "41--56",
}

@TechReport{int:Zenios1,
  author =       "S. A. Zenios and R. Qi",
  title =        "Data--level parallel computing with interior point
                 algorithms",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Orlando, FL, USA}",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Decision Sciences, The Wharton School,
                 University of Pennsylvania",
  address =      "Philadelphia, PA~19104, USA",
  note =         "See Eckstein et al.\ \cite{int:Eckstein1}",
}

@Article{int:Zhang1,
  author =       "Y. Zhang and R. A. Tapia and J. E. Dennis",
  title =        "On the superlinear and quadratic convergence of
                 primal--dual interior point linear programming
                 algorithms",
  journal =      "SIAM Journal on Optimization",
  volume =       "2",
  number =       "2",
  year =         "1992",
  pages =        "304--324",
}

@Article{int:Zhang2,
  author =       "Y. Zhang and R. A. Tapia and F. Potra",
  title =        "On the superlinear convergence of interior point
                 algorithms for a general class of problems",
  journal =      "SIAM Journal on Optimization",
  volume =       "3",
  number =       "2",
  year =         "1993",
  pages =        "413--422",
}

@TechReport{int:Zhang3,
  author =       "Y. Zhang and R. A. Tapia",
  title =        "A polynomial--time and superlinearly convergent
                 interior point algorithm for linear programming",
  type =         "{Technical Report}",
  year =         "1991",
  month =        mar,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  note =         "To appear in {\em SIAM Journal on Optimization,
                 1992}",
}

@TechReport{int:Zhang4,
  author =       "S. Zhang",
  title =        "On the convergence property of {Iri--Imai's} method
                 for linear programming",
  type =         "{Technical Report}",
  number =       "8917/A",
  year =         "1989",
  institution =  "Economic Institute, Erasmus University",
  address =      "Rotterdam, The Netherlands",
}

@TechReport{int:Zhang5,
  author =       "Y. Zhang",
  title =        "Super--linear convergence of interior point algorithms
                 for a class of mathematical programming problems",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Nashville, Tennessee, USA}",
  year =         "1991",
  month =        may,
  institution =  "Dept.\ of Mathematics \& Statistics, University of
                 Maryland Baltimore County",
  address =      "Baltimore, MD~21228, USA",
}

@Article{int:Zhang6,
  author =       "J. Z. Zhang",
  title =        "The affine transformation method and the path
                 following method for solving linear programming
                 problems",
  journal =      "Chinese Journal of Operations Research",
  volume =       "8",
  number =       "2",
  year =         "1989",
  pages =        "25--34",
  note =         "(In Chinese)",
}

@TechReport{int:Zhang7,
  author =       "Y. Zhang and R. A. Tapia",
  title =        "A quadratically convergent polynomial primal--dual
                 interior--point algorithm for linear programming",
  type =         "{Technical Report}",
  number =       "TR~90--40",
  year =         "1990",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  note =         "To appear in {\em SIAM Journal on Optimization 3
                 (1993)}",
}

@Article{int:Zhang8,
  author =       "Y. Zhang and R. A. Tapia",
  title =        "Superlinear and quadratic convergence of primal--dual
                 interior--point methods for linear programming
                 revisited",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "73",
  number =       "2",
  year =         "1992",
  pages =        "229--242",
}

@TechReport{int:Zhang9,
  author =       "Y. Zhang and R. A. Tapia",
  title =        "On the convergence of interior--point methods to the
                 center of the solution set in linear programming",
  type =         "{Technical Report}",
  number =       "TR~91--30",
  year =         "1991",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Zhang10,
  author =       "Y. Zhang and A. S. El--Bakry",
  title =        "A modified predictor--corrector algorithm for locating
                 weighted centers in linear programming",
  type =         "{Technical Report}",
  number =       "TR~92--19",
  year =         "1992",
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
}

@TechReport{int:Zhang11,
  author =       "Y. Zhang",
  title =        "On the convergence of a class of infeasible
                 interior--point methods for the horizontal linear
                 complementarity problem",
  type =         "{Research Report}",
  number =       "92--07",
  year =         "1992",
  month =        apr,
  institution =  "Dept.\ of Mathematics and Statistics, University of
                 Maryland Baltimore County",
  address =      "Baltimore, MD~21228--5398, USA",
  note =         "{\em OLD TITLE\,:} {\em On the convergence of an
                 infeasible interior--point algorithm for linear
                 programming and other problems}. {\newline To appear in
                 {\em SIAM Journal on Optimization, February 1994}}",
}

@TechReport{int:Zhang12,
  author =       "Y. Zhang",
  title =        "A primal--dual interior point approach for computing
                 the ${L}_{1}$ and ${L}_{\infty}$ solutions of
                 overdetermined linear systems",
  type =         "{Technical Report}",
  year =         "1990",
  month =        apr,
  institution =  "Dept.\ of Mathematical Sciences, Rice University",
  address =      "Houston, TX~77251, USA",
  note =         "To appear in {\em Journal of Optimization Theory and
                 Applications, 1992}",
}

@TechReport{int:Zhang13,
  author =       "Y. Zhang and D. Zhang",
  title =        "Superlinear convergence of infeasible interior--point
                 methods for linear programming",
  type =         "{Research Report}",
  number =       "92--15",
  year =         "1992",
  institution =  "Dept.\ of Mathematics and Statistics, University of
                 Maryland Baltimore County",
  address =      "Baltimore, MD~21228--5398, USA",
}

@Article{int:Zhang14,
  author =       "Y. Zhang",
  title =        "A primal--dual interior point approach for computing
                 the $\ell_{1}$ and $\ell_{\infty}$ solutions of
                 overdetermined linear systems",
  journal =      "Journal of Optimization Theory and Applications",
  volume =       "77",
  number =       "2",
  year =         "1993",
}

@TechReport{int:Zhang15,
  author =       "D. Zhang and Y. Zhang",
  title =        "An infeasible--interior--point algorithm with
                 polynomiality and {$Q$}--subcubic convergence",
  type =         "{Research Report}",
  number =       "93--13",
  year =         "1993",
  month =        jul,
  institution =  "Dept.\ of Mathematics and Statistics, University of
                 Maryland Baltimore County",
  address =      "Baltimore, MD~21228--5398, USA",
}

@TechReport{int:Zhang16,
  author =       "Y. Zhang and D. Zhang",
  title =        "On polynomiality of the {Mehrotra}--type
                 predictor--corrector interior--point algorithm",
  type =         "{Research Report}",
  number =       "93--12",
  year =         "1993",
  month =        jun,
  institution =  "Dept.\ of Mathematics and Statistics, University of
                 Maryland Baltimore County",
  address =      "Baltimore, MD~21228--5398, USA",
}

@TechReport{int:SZhang1,
  author =       "S. Zhang",
  title =        "The convergence property of the {Iri--Imai} algorithm
                 for some smooth convex programming problems",
  type =         "{Research Memorandum}",
  number =       "485",
  year =         "1992",
  month =        jul,
  institution =  "Dept.\ of Econometrics, University of Groningen",
  address =      "NL--9700~AV~Groningen, The Netherlands",
  note =         "Revised January 1993. To appear in {\em Journal of
                 Optimization Theory and Applications}",
}

@Article{int:Zhao1,
  author =       "G. Zhao and J. Stoer",
  title =        "Estimating the complexity of path--following methods
                 for solving linear programs by curvature integrals",
  journal =      "Applied Mathematics~{\&}~Optimization",
  volume =       "27",
  number =       "1",
  year =         "1993",
  pages =        "85--103",
}

@TechReport{int:Zhao2,
  author =       "Y. Zhao",
  title =        "A classification of trajectory optimization
                 algorithms",
  type =         "{Technical Report}",
  number =       "91/115",
  year =         "1991",
  month =        apr,
  institution =  "Minnesota Supercomputer Institute, University of
                 Minnesota",
  address =      "Minneapolis, MN~55415, USA",
}

@Article{int:Zheng1,
  author =       "Q. Zheng",
  title =        "On the complexity of linear programming problems",
  journal =      "Chinese Journal of Operations Research",
  volume =       "7",
  number =       "2",
  year =         "1988",
  pages =        "1--10",
  note =         "(In Chinese)",
}

@Article{int:Zhou1,
  author =       "J. Zhou and N. Xu and W. Chen",
  title =        "Discussion on {K}armarkar's method for solving
                 unstandard model",
  journal =      "Journal of Southeastern University (Nanjing, PR
                 China), English Edition",
  volume =       "5",
  number =       "1",
  year =         "1989",
  pages =        "38--45",
}

@TechReport{int:Zhu1,
  author =       "J. Zhu and K. O. Kortanek",
  title =        "A polynomial path--following algorithm for linearly
                 constrained convex programming",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Philadelphia, PA, USA}",
  year =         "1990",
  month =        oct,
  institution =  "College of Business Administration, University of
                 Iowa",
  address =      "Iowa City, IA~52240, USA",
}

@Article{int:Zhu2,
  author =       "J. Zhu",
  title =        "A path following algorithm for a class of convex
                 programming problems",
  journal =      "Zeitschrift f{\"u}r Operations Research---Methods and
                 Models of Operations Research",
  volume =       "36",
  number =       "4",
  pages =        "539--377",
  year =         "1992",
}

@Article{int:Zhu3,
  author =       "J. Zhu and S. Huang",
  title =        "On the convergence rate of the duality gap in a
                 symmetric primal--dual potential reduction algorithm",
  journal =      "Operations Research Letters",
  volume =       "11",
  year =         "1992",
  pages =        "289--291",
}

@TechReport{int:Zikan1,
  author =       "K. Zikan and R. W. Cottle",
  title =        "The box method for linear programming, part~{I~:
                 B}asic theory",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305--4022, USA",
}

@TechReport{int:Zikan2,
  author =       "K. Zikan and R. W. Cottle",
  title =        "The box method for linear programming, part~{II~:
                 T}reatment of problems in standard form with explicitly
                 bounded variables",
  type =         "{Technical Report}",
  year =         "1987",
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305--4022, USA",
}

@TechReport{int:Zikan3,
  author =       "K. Zikan and R. W. Cottle",
  title =        "Solving linear programs with the box method",
  type =         "{Talk held at the ORSA/TIMS Joint National Meeting in
                 Washington, DC, USA}",
  year =         "1988",
  month =        apr,
  institution =  "Systems Optimization Laboratory, Dept.\ of Operations
                 Research, Stanford University",
  address =      "Stanford, CA~94305--4022, USA",
}

@InCollection{int:Zimmermann1,
  author =       "U. Zimmermann",
  title =        "On recent developments in linear programming",
  booktitle =    "Trends in Mathematical Optimization~: Proceedings of
                 the 4th French--German Conference on Optimization in
                 Irsee, West--Germany, April 1986",
  editor =       "K. H. Hoffmann and J. B. Hiriat--Urruty and C.
                 Lemarechal and J. Zowe",
  series =       "International Series of Numerical Mathematics",
  volume =       "84",
  year =         "1988",
  pages =        "353--390",
  publisher =    "Birkh{\"a}user Verlag",
  address =      "Basel, Switzerland",
}

@TechReport{int:Zimmermann2,
  author =       "U. Zimmermann",
  title =        "Search directions for projective methods",
  type =         "{Technical Report}",
  year =         "1989",
  month =        feb,
  institution =  "Technische Universit{\"a}t Braunschweig, Institut
                 f{\"u}r Angewandte Mathematik, Abt.\ f{\"u}r Math.\
                 Optimierung",
  address =      "Pockelstr.~14, D--3300~Braunschweig, West--Germany",
}

@Article{int:Zimmermann3,
  author =       "U. Zimmermann",
  title =        "Search directions for a class of projective methods",
  journal =      "Zeitschrift f{\"u}r Operations Research---Methods and
                 Models of Operations Research",
  volume =       "34",
  year =         "1990",
  pages =        "353--379",
}

@TechReport{int:Zimmermann4,
  author =       "U. Zimmermann and C. Wallacher",
  title =        "An interior point method for flow problems",
  type =         "{Talk held at the DGOR--Jahrestagung in Vienna,
                 Austria}",
  year =         "1990",
  month =        aug,
  institution =  "Technische Universit{\"a}t Braunschweig, Institut
                 f{\"u}r Angewandte Mathematik, Abt.\ f{\"u}r Math.\
                 Optimierung",
  address =      "Pockelstr.~14, D--3300~Braunschweig, West--Germany",
  note =         "See also Wallacher and Zimmermann
                 \cite{int:Wallacher1}",
}