Complete Publication

  1. Shuanghua Bai and H.-D. Qi
    Tackling the Flip Ambiguity in Wireless Sensor Network Localization and Beyond
    July 2015 (Matlab code: EDME.zip)
    Digital Signal Processing, 55 (2016), pp. 85--97.
  2. Shenglong Zhou, Naihua Xiu, Yingnan Wang, Lingchen Kong, and Hou-Duo Qi
    A Null-Space-Based Weighted $\ell_1$ Minimization Approach to Compressed Sensing
    Information and Inference 5 (2016), pp. 76--102.
  3. Sohana Jahan and H.-D. Qi
    Regularized Multidimensional Scaling with Radial Basis Functions
    Journal of Industrial Management and Optimization, 12 (2016), pp. 543--563.
  4. Shuanghua Bai, H.-D. Qi and Naihua Xiu
    Constrained Best Euclidean Distance Embedding on a Sphere: a Matrix Optimization Approach
    SIAM J. Optimization, 25 (2015), pp. 439--467.
  5. Chao Ding and H.-D. Qi
    A Computable Characterization of the Extrinsic Mean of Reflection Shapes and Its Asymptotic Properties
    Dedicated to Professor Jiye Han on his 80th birthday.
    Asia-Pacific Journal of Operations Research, 32 (2015), 1540005 (16 pages).
  6. H.-D. Qi and X.M. Yuan
    Computing the Nearest Euclidean Distance Matrix with Low Embedding Dimensions
    (See the Matlab area for the EMBED package used in the paper).
    Mathematical Programming, Ser. A (2014) 147:351–389 (DOI: 10.1007/s10107-013-0726-0).
  7. H.-D. Qi
    Conditional Quadratic Semidefinite Programming: Examples and Methods
    Journal of Operations Research Society of China (2014) 2:143--170
  8. H.-D. Qi, N.H. Xiu, and X.M. Yuan
    A Lagrangian dual approach to the single source localization problem
    (See the Matlab area for the codes used in the paper).

    IEEE Transactions on Signal Processing, 61 (2013), 3815--3826.
  9. H.-D. Qi
    A semismooth Newton method for the nearest Euclidean distance matrix problem (Matlab code: ENewton.m)
    SIAM Journal Matrix Analysis and Applications, 34 (2013), 67--93.
  10. H.-D. Qi and N. Xiu
    A convex quadratic semidefinite programming approach to the partial additive constant problem in multidimensional scaling (published version)
    Journal of Statistical Computation and Simulation, 82 (2012), 1317--1336.
  11. Q. Li and H.-D. Qi
    A sequential semismooth Newton method for the nearest low-rank correlation matrix problem (published version)
    SIAM Journal on Optimization, Vol 21 (2011), 1641—1666.
  12. H.-D. Qi
    A semidefinite programming study of the Elfving theorem
    Journal of Statistical Planning and Inference, Vol 141 (2011), 3117—3130.
  13. Q. Li, H.-D. Qi, and N.H. Xiu
    Block Relaxation and Majorization Methods for the Nearest Correlation Matrix with Factor Structure
    Computational Optimization and Applications, Vol 50 (2011), 327--349.
  14. H.-D. Qi and D.F. Sun
    An Augmented Lagrangian Dual Approach for the $H$-Weighted Nearest Correlation Matrix Problem
    IMA J. Numerical Analysis, Vol 31 (2011), 491—511
  15. Q. Li, D. Li, and H.-D. Qi
    Newton’s method for computing the nearest correlation matrix with a simple upper bound
    Journal of Optimization Theory and Applications, Vol 147 (2010), 546—568.
  16. H.-D. Qi and D.F. Sun
    Correlation stress testing for value-at-risk: an unconstrained convex optimization approach
    Computational Optimization and Applications, vol 45 (2010), 427--462.
  17. H.-D. Qi
    Local duality of nonlinear semidefinite programming
    Mathematics of Operations Research 34(1), (2009), 124--141.
  18. H.-D. Qi
    Positive Semidefinite Matrix Completions on Chordal Graphs and Constraint Nondegeneracy in Semidefinite Programming
    Linear Algebra and Its Applications, Vol 430 (2009), 1151--1164.
  19. Z. Xia, H.-D. Qi, M. H. Tu, and W. K. Zhang
    Data Integration for Recommendation Systems.
    In: M.A. Wani, X. Chen, D. Casasent, L. Kurgan, T. Hu, and K. Hafeez, ed. Proceeding of 7th International Conference on Machine Learning and Applications, 2008, 863--866. 7th International Conference on Machine Learning and Applications, DEC 11-13, 2008 San Diego, CA.
  20. Z. Xia, G. Xing, H.-D. Qi, and Q. Li
    Applications of semidefinite programming in XML document classification.
    In: M.W. Berry and M. Castellanos, ed. Survey of Text Mining II: Clustering, Classification, and Retrieval. Springer 2008, pp. 129-144.
  21. H.-D. Qi
    New sufficient conditoions for global robust stability of delayed neural networks
    IEEE Transactions on Circuits and Systems - I: Regular Papers vol. 54, pp. 1131--1141, 2007.
  22. H.-D. Qi, Z. Xia, and G. Xing
    An application of the nearest correlation matrix on Web document classification
    Journal of Industrial Mathematics and Optimization, vol. 3, pp. 701--713, 2007
  23. H.-D. Qi and X.Q. Yang
    Regularity and well-posedness of a dual program for convex best $C^1$-spline interpolation
    Computational Optimzation and Applications, 37, pp. 409--425, 2007.
  24. H.-D. Qi and D. Sun
    A quadratically convergent Newton method for computing the nearest correlation matrix
    SIAM J. Matrix Analysis and Application vol 28 (2), pp. 360--385, 2006.
  25. X. Chen and H.-D. Qi
    Cartesian P-property and its applications to the semidefinite linear complementarity problem
    Math. Programming, 2006 (106), pp. 177--201.
  26. H.-D. Qi and X.Q. Yang
    Armijo Newton method for convex best interpolation
    Optimization Methods and Software, 2006 (21), pp. 179--200.
  27. H.-D. Qi, L. Qi, and X.Q. Yang
    Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis II
    IEEE Transactions on Neural Networks, 2005 (16), pp. 1701--1706.
  28. H.-D. Qi
    Some theoretical aspects on Newton's method for constrained best interpolation
    "Continuous Optimization: Current Trends and Modern Applications" (edited by A. Rubinov and V. Jeyakumar), pp. 23--49. Springer (2005).
  29. X. Chen, H.-D. Qi, L. Qi and K.-L. Teo
    Smooth convex approximation to the maximum eigenvalue function
    J. of Global Optimization, 30 (2004), pp. 253--270.
  30. H.-D. Qi and X.Q Yang
    Semismoothness of spectral functions
    SIAM J. Matrix Anal. Appl. 25 (2004), 784--803.
  31. H.-D. Qi and L. Qi
    Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis
    IEEE Transactions on Neural Networks, 15 (2004), 99--109.
  32. L.-Z. Liao, H.-D. Qi and L. Qi
    Neurodynamic optimization
    J. of Global Optimization, 28 (2004), 175--195.
  33. H.-D. Qi, L. Qi, and D. Sun
    Solving KKT systems via the trust region and the conjugate gradient methods
    SIAM J. Optimization, 14 (2003), 439--463.
  34. H.-D. Qi and L. Qi
    Finite termination of a dual Newton method for convex best $C^1$ interpolation and smoothing
    Numerische Mathematik, 96 (2003), 317--337.
  35. X. Chen, H.-D. Qi, and P. Tseng
    Analysis of nonsmooth symmetric-matrix functions with applications to semidefinite complementarity problems
    SIAM J. Optimization 13 (2003), pp. 960--985.
  36. A.L. Dontchev, H.-D. Qi, and L. Qi
    Quadratic convergence of Newton's method for convex interpolation and smoothing
    Constructive Approximation 19 (2003), pp. 123-143.
  37. D. Sun, R.S. Womersley, and H.-D. Qi
    A feasible semismooth asympototically Newton method for mixed complementarity problems
    Mathematical Programming 94 (2002), pp. 167--187.
  38. C. Kanzow, H.-D. Qi and L. Qi
    On the minimum normal solution of linear programs
    Journal of Optimization Theory and Applications, 116 (2003), pp. 333--345.
  39. A.L. Dontchev, H.-D. Qi, L. Qi and H. Yin
    A Newton method for shape-preserving spline interpolation
    SIAM J. Optimization 13 (2002), pp. 588-602.
  40. A.L. Dontchev, H.-D. Qi and L. Qi
    Quadratic convergence of Newton's method for constrained interpolation
    Approximation Theory X: Wavelets, Splines, and Applications, (2002), pp. 261--270.
    Charles K. Chui, Larry L. Schumaker, and Joachim Stoeckler (eds.) Vanderbilt University Press, Nashville, TN.
  41. Q.-M. Han, L.-Z. Liao, H.-D. Qi and L. Qi
    Stability analysis of gradient-based neural network for optimization problems
    Journal of Global Optimization, 19 (2001), pp. 363-381.
  42. L.-Z. Liao, H.-D. Qi and L. Qi
    Solving nonlinear complementarity problems with neural networks: a reformulation method approach
    Journal of Computational and Applied Mathematics, 131 (2001), pp. 343-359.
  43. A.L. Dontchev, H.-D. Qi and L. Qi
    Convergence of Newton's methods for convex best interpolation
    Numerische Mathematik, 87 (2001), pp. 435-456.
  44. H.-D. Qi and L. Qi
    A new QP-free, globally convergent, locally superlinearly convergent algorithm for inequality constrained optimization
    SIAM Journal on Optimization, 11 (2000), pp. 113-132
  45. H.-D. Qi and L.-Z. Liao
    A smoothing Newton method for general nonlinear complementarity problems
    Computational Optimization and Applications, 17 (2000), pp. 231-253.
  46. H.-D. Qi and Y.-Z. Zhang
    A globally derivative-free descent method for nonlinear complementarity problems
    Journal of Computational Mathematics, 18 (2000), pp. 251-264.
  47. H.-D. Qi
    A regularized smoothing Newton method for box constrained variational inequality problems with $P0$-functions
    SIAM Journal on Optimization, 10 (2000), pp. 315-330.
  48. H.-D. Qi and L.-Z. Liao
    A smoothing Newton method for extended vertical linear complementarity problems
    SIAM J. Matrix Anal. Appl., 21 (2000), pp. 45-66.
  49. C. Kanzow and H.-D. Qi
    A QP-free constrained Newton-type method for variational inequality problems
    Mathematical Programming, 85 (1999), pp. 81-106.
  50. H.-D. Qi
    On stationary and minimizing sequences of a new class of merit functions for nonlinear complementarity problems
    Journal of Optimization Theory and Applications, 102 (1999), pp. 411--431.
  51. H.-D. Qi
    Tikhonov regularization methods for general variational inequality problems
    Journal of Optimization Theory and Applications, 102 (1999), pp. 93--101.
  52. L.-Z. Liao and H.-D. Qi
    A neural network for the linear complementarity problem
    Mathematical and Computer Modelling, 29 (1999), pp. 9--18.
  53. H.-D. Qi, L.-Z. Liao and Z.-H. Lin
    Regularized smoothing approximations to vertical nonlinear complementarity problems
    Journal of Mathematical Analysis and Applications, 230 (1999), pp. 261--276.
  54. Y.-B. Zhao, J.-Y. Han and H.-D. Qi
    Exceptional families and existence theorems for variational inequality problems
    Journal of Optimization Theory and Applications, 101 (1999), pp. 475--495.
  55. H.-D. Qi
    A monotone property of the projection operator onto closed convex sets
    J. Math. Res. Exposition, 18 (1998), pp. 580--582.
  56. G.-H. Liu, J.-Y. Han, H.-D. Qi and Z.-L. Xu
    Convergence analysis of a class of conjugate gradient methods without sufficient decrease condition
    Acta Math. Sci. (English Ed.), 18 (1998), pp.11-16.
  57. H.-D. Qi and J.-Y. Han
    Exceptional family and existence theorems in linear complementarity problems
    Mathematica Numerica Sinica, 19 (1997), pp. 70-77.
  58. H.-D. Qi, J.-Y. Han and G.-H. Liu
    Modified Hestenes-Stiefel conjugate gradient methods
    Chinese Annual of Mathematics, 17 (A) (1996), pp. 277--284.