Complete Publication
- 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.
- 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.
- Sohana Jahan and H.-D. Qi
Regularized Multidimensional Scaling with Radial Basis Functions
Journal of Industrial Management and Optimization, 12 (2016), pp. 543--563.
- 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.
- 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).
- 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).
- H.-D. Qi
Conditional Quadratic Semidefinite Programming: Examples and Methods
Journal of Operations Research Society of China (2014) 2:143--170
- 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.
- 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.
- 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.
- 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.
- H.-D. Qi
A semidefinite programming study of the Elfving theorem
Journal of Statistical Planning and Inference, Vol 141 (2011), 3117—3130.
- 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.
- 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
- 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.
- 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.
- H.-D. Qi
Local duality of nonlinear semidefinite programming
Mathematics of Operations Research 34(1), (2009), 124--141.
- 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.
- 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.
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- H.-D. Qi and X.Q. Yang
Armijo Newton method for convex best interpolation
Optimization Methods and Software, 2006 (21), pp. 179--200.
- 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.
- 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).
- 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.
- H.-D. Qi and X.Q Yang
Semismoothness of spectral functions
SIAM J. Matrix Anal. Appl. 25 (2004), 784--803.
- 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.
- L.-Z. Liao, H.-D. Qi and L. Qi
Neurodynamic optimization
J. of Global Optimization, 28 (2004), 175--195.
- 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.
- 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.
- 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.
- 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.
- 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.
-
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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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.
- C. Kanzow and H.-D. Qi
A QP-free constrained Newton-type method for
variational inequality problems
Mathematical Programming, 85 (1999), pp. 81-106.
- 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.
- H.-D. Qi
Tikhonov regularization methods for general variational inequality
problems
Journal of Optimization Theory and Applications, 102 (1999), pp. 93--101.
- L.-Z. Liao and H.-D. Qi
A neural network for the linear complementarity problem
Mathematical and Computer Modelling, 29 (1999), pp. 9--18.
- 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.
- 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.
- H.-D. Qi
A monotone property of the projection operator onto closed convex sets
J. Math. Res. Exposition, 18 (1998), pp. 580--582.
- 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.
- H.-D. Qi and J.-Y. Han
Exceptional family and existence theorems in linear
complementarity problems
Mathematica Numerica Sinica, 19 (1997), pp. 70-77.
- 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.