Liqun Qi

According to our database, Liqun Qi authored at least 241 papers between 1981 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2025

A genuine extension of the Moore-Penrose inverse to dual matrices.

Chunfeng Cui, Liqun Qi

J. Comput. Appl. Math., 2025

2024

Spectral Properties of Dual Unit Gain Graphs.

Chunfeng Cui, Yong Lu, Liqun Qi, Ligong Wang

Symmetry, September, 2024

Moore determinant of dual quaternion Hermitian matrices.

Chunfeng Cui, Liqun Qi, Guang-Jing Song, Qing-Wen Wang

Comput. Appl. Math., September, 2024

A tensor train approach for internet traffic data completion.

Zhiyuan Zhang, Chen Ling, Hongjin He, Liqun Qi

Ann. Oper. Res., August, 2024

A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix.

Chunfeng Cui, Liqun Qi

J. Sci. Comput., July, 2024

A low-rank and sparse enhanced Tucker decomposition approach for tensor completion.

Chenjian Pan, Chen Ling, Hongjin He, Liqun Qi, Yanwei Xu

Appl. Math. Comput., March, 2024

"Sparse + Low-Rank" tensor completion approach for recovering images and videos.

Chenjian Pan, Chen Ling, Hongjin He, Liqun Qi, Yanwei Xu

Signal Process. Image Commun., 2024

Eigenvalues of Dual Hermitian Matrices with Application in Formation Control.

Liqun Qi, Chunfeng Cui

SIAM J. Matrix Anal. Appl., 2024

A Regularization-Patching Dual Quaternion Optimization Method for Solving the Hand-Eye Calibration Problem.

Zhongming Chen, Chen Ling, Liqun Qi, Hong Yan

J. Optim. Theory Appl., 2024

Network traffic recovery from link-load measurements using tensor triple decomposition strategy for third-order traffic tensors.

Zhenyu Ming, Zhenzhi Qin, Liping Zhang, Yanwei Xu, Liqun Qi

J. Comput. Appl. Math., 2024

Non-convex Pose Graph Optimization in SLAM via Proximal Linearized Riemannian ADMM.

Xin Chen, Chunfeng Cui, Deren Han, Liqun Qi

CoRR, 2024

2023

Optimality conditions for Tucker low-rank tensor optimization.

Ziyan Luo, Liqun Qi

Comput. Optim. Appl., December, 2023

Copositivity of Three-Dimensional Symmetric Tensors.

Liqun Qi, Yisheng Song, Xinzhen Zhang

Asia Pac. J. Oper. Res., June, 2023

Low Tucker rank tensor completion using a symmetric block coordinate descent method.

Quan Yu, Xinzhen Zhang, Yannan Chen, Liqun Qi

Numer. Linear Algebra Appl., May, 2023

Practical Sketching Algorithms for Low-Rank Tucker Approximation of Large Tensors.

Wandi Dong, Gaohang Yu, Liqun Qi, Xiaohao Cai

J. Sci. Comput., May, 2023

The analytic connectivity in uniform hypergraphs: Properties and computation.

Chunfeng Cui, Ziyan Luo, Liqun Qi, Hong Yan

Numer. Linear Algebra Appl., March, 2023

Low-rank Tensor Train Decomposition Using TensorSketch.

Zhongming Chen, Huilin Jiang, Gaohang Yu, Liqun Qi

CoRR, 2023

A Randomized Block Krylov Method for Tensor Train Approximation.

Gaohang Yu, Jinhong Feng, Zhongming Chen, Xiaohao Cai, Liqun Qi

CoRR, 2023

2022

Further results on sum-of-squares tensors.

Haibin Chen, Liqun Qi, Yiju Wang, Guanglu Zhou

Optim. Methods Softw., 2022

Quaternion Matrix Optimization: Motivation and Analysis.

Liqun Qi, Ziyan Luo, Qing-Wen Wang, Xinzhen Zhang

J. Optim. Theory Appl., 2022

Multi-mode Tensor Train Factorization with Spatial-spectral Regularization for Remote Sensing Images Recovery.

Gaohang Yu, Shaochun Wan, Liqun Qi, Yanwei Xu

CoRR, 2022

Minimax principle for right eigenvalues of dual quaternion matrices and their generalized inverses.

Chen Ling, Liqun Qi, Hong Yan

CoRR, 2022

Low Rank Approximation of Dual Complex Matrices.

Liqun Qi, David M. Alexander, Zhongming Chen, Chen Ling, Ziyan Luo

CoRR, 2022

Tensor Manifold with Tucker Rank Constraints.

Shih Yu Chang, Ziyan Luo, Liqun Qi

Asia Pac. J. Oper. Res., 2022

2021

Triple Decomposition and Tensor Recovery of Third Order Tensors.

Liqun Qi, Yannan Chen, Mayank Bakshi, Xinzhen Zhang

SIAM J. Matrix Anal. Appl., 2021

A Barzilai-Borwein Gradient Algorithm for Spatio-Temporal Internet Traffic Data Completion via Tensor Triple Decomposition.

Yannan Chen, Xinzhen Zhang, Liqun Qi, Yanwei Xu

J. Sci. Comput., 2021

SLRTA: A sparse and low-rank tensor-based approach to internet traffic anomaly detection.

Xiaotong Yu, Ziyan Luo, Liqun Qi, Yanwei Xu

Neurocomputing, 2021

A DCT-based Tensor Completion Approach for Recovering Color Images and Videos from Highly Undersampled Data.

Chenjian Pan, Chen Ling, Hongjin He, Liqun Qi, Yanwei Xu

CoRR, 2021

Tubal Matrix Analysis.

Liqun Qi

CoRR, 2021

ST-SVD Factorization and s-Diagonal Tensors.

Chen Ling, Jinjie Liu, Chen Ouyang, Liqun Qi

CoRR, 2021

Orthogonal Equivalence, Singular Values and T-Rank of Third Order Tensors.

Liqun Qi, Chen Ling, Jinejie Liu, Chen Ouyang

CoRR, 2021

T-Singular Values and T-Sketching for Third Order Tensors.

Liqun Qi, Gaohang Yu

CoRR, 2021

T-product factorization method for internet traffic data completion with spatio-temporal regularization.

Chen Ling, Gaohang Yu, Liqun Qi, Yanwei Xu

Comput. Optim. Appl., 2021

2020

Hypergraph Clustering Using a New Laplacian Tensor with Applications in Image Processing.

Jingya Chang, Yannan Chen, Liqun Qi, Hong Yan

SIAM J. Imaging Sci., 2020

Modified gradient dynamic approach to the tensor complementarity problem.

Xuezhong Wang, Maolin Che, Liqun Qi, Yimin Wei

Optim. Methods Softw., 2020

Low-Rank and Sparse Enhanced Tucker Decomposition for Tensor Completion.

Chenjian Pan, Chen Ling, Hongjin He, Liqun Qi, Yanwei Xu

CoRR, 2020

A Parallelizable Method for Missing Internet Traffic Tensor Data.

Chen Ling, Gaohang Yu, Liqun Qi, Yanwei Xu

CoRR, 2020

A Tensor Rank Theory, Full Rank Tensors and The Sub-Full-Rank Property.

Liqun Qi, Xinzhen Zhang, Yannan Chen

CoRR, 2020

Expected residual minimization method for monotone stochastic tensor complementarity problem.

Zhenyu Ming, Liping Zhang, Liqun Qi

Comput. Optim. Appl., 2020

Stationary Probability Vectors of Higher-Order Two-Dimensional Symmetric Transition Probability Tensors.

Zheng-Hai Huang, Liqun Qi

Asia Pac. J. Oper. Res., 2020

Elasticity M-tensors and the strong ellipticity condition.

Weiyang Ding, Jinjie Liu, Liqun Qi, Hong Yan

Appl. Math. Comput., 2020

2019

DrPOCS: Drug Repositioning Based on Projection Onto Convex Sets.

Yin-Ying Wang, Chunfeng Cui, Liqun Qi, Hong Yan, Xing-Ming Zhao

IEEE ACM Trans. Comput. Biol. Bioinform., 2019

On semi-definiteness and minimal H-eigenvalue of a symmetric space tensor using nonnegative polynomial optimization techniques.

Yi Xu, Liqun Qi, Wenyu Sun

Signal Process. Image Commun., 2019

Stochastic $$R_0$$ R 0 tensors to stochastic tensor complementarity problems.

Maolin Che, Liqun Qi, Yimin Wei

Optim. Lett., 2019

High performance hardware architecture for singular spectrum analysis of Hankel tensors.

Wei-pei Huang, Bowen P. Y. Kwan, Weiyang Ding, Biao Min, Ray C. C. Cheung, Liqun Qi, Hong Yan

Microprocess. Microsystems, 2019

Tensor Complementarity Problems - Part II: Solution Methods.

Liqun Qi, Zheng-Hai Huang

J. Optim. Theory Appl., 2019

Tensor Complementarity Problems - Part III: Applications.

Zheng-Hai Huang, Liqun Qi

J. Optim. Theory Appl., 2019

Tensor Complementarity Problems - Part I: Basic Theory.

Zheng-Hai Huang, Liqun Qi

J. Optim. Theory Appl., 2019

Biquadratic Tensors, Biquadratic Decomposition and Norms of Biquadratic Tensors.

Liqun Qi, Shenglong Hu, Xinzhen Zhang

CoRR, 2019

Nuclear Norm and Spectral Norm of Tensor Product.

Liqun Qi, Shenglong Hu, Xinzhen Zhang

CoRR, 2019

Spectral Norm and Nuclear Norm of a Third Order Tensor.

Liqun Qi, Shenglong Hu

CoRR, 2019

2018

A fast algorithm for the spectral radii of weakly reducible nonnegative tensors.

Guanglu Zhou, Gang Wang, Liqun Qi, Mohammed Alqahtani

Numer. Linear Algebra Appl., 2018

A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test.

Haibin Chen, Yannan Chen, Guoyin Li, Liqun Qi

Numer. Linear Algebra Appl., 2018

A Globally and Quadratically Convergent Algorithm for Solving Multilinear Systems with ℳ-tensors.

Hongjin He, Chen Ling, Liqun Qi, Guanglu Zhou

J. Sci. Comput., 2018

Computing the p-Spectral Radii of Uniform Hypergraphs with Applications.

Jingya Chang, Weiyang Ding, Liqun Qi, Hong Yan

J. Sci. Comput., 2018

Global Uniqueness and Solvability of Tensor Variational Inequalities.

Yong Wang, Zheng-Hai Huang, Liqun Qi

J. Optim. Theory Appl., 2018

A quadratic penalty method for hypergraph matching.

Chunfeng Cui, Qingna Li, Liqun Qi, Hong Yan

J. Glob. Optim., 2018

Positive definiteness of paired symmetric tensors and elasticity tensors.

Zheng-Hai Huang, Liqun Qi

J. Comput. Appl. Math., 2018

Geometric measures of entanglement in multipartite pure states via complex-valued neural networks.

Maolin Che, Liqun Qi, Yimin Wei, Guofeng Zhang

Neurocomputing, 2018

Some properties and applications of odd-colorable -hypergraphs.

Xi-Ying Yuan, Liqun Qi, Jia-Yu Shao, Chen Ouyang

Discret. Appl. Math., 2018

Copositive tensor detection and its applications in physics and hypergraphs.

Haibin Chen, Zheng-Hai Huang, Liqun Qi

Comput. Optim. Appl., 2018

Spectral radii of two kinds of uniform hypergraphs.

Liying Kang, Lele Liu, Liqun Qi, Xi-Ying Yuan

Appl. Math. Comput., 2018

2017

The Fiedler Vector of a Laplacian Tensor for Hypergraph Partitioning.

Yannan Chen, Liqun Qi, Xiaoyan Zhang

SIAM J. Sci. Comput., 2017

Strictly semi-positive tensors and the boundedness of tensor complementarity problems.

Yisheng Song, Liqun Qi

Optim. Lett., 2017

The sparsest solutions to Z-tensor complementarity problems.

Ziyan Luo, Liqun Qi, Naihua Xiu

Optim. Lett., 2017

Improved approximation results on standard quartic polynomial optimization.

Chen Ling, Hongjin He, Liqun Qi

Optim. Lett., 2017

Programmable criteria for strong ℋ-tensors.

Yaotang Li, Qilong Liu, Liqun Qi

Numer. Algorithms, 2017

Copositivity Detection of Tensors: Theory and Algorithm.

Haibin Chen, Zheng-Hai Huang, Liqun Qi

J. Optim. Theory Appl., 2017

Iterative algorithms for computing US- and U-eigenpairs of complex tensors.

Maolin Che, Liqun Qi, Yimin Wei

J. Comput. Appl. Math., 2017

Formulating an <i>n</i>-person noncooperative game as a tensor complementarity problem.

Zheng-Hai Huang, Liqun Qi

Comput. Optim. Appl., 2017

2016

Computing Eigenvalues of Large Scale Sparse Tensors Arising from a Hypergraph.

Jingya Chang, Yannan Chen, Liqun Qi

SIAM J. Sci. Comput., 2016

Comon's Conjecture, Rank Decomposition, and Symmetric Rank Decomposition of Symmetric Tensors.

Xinzhen Zhang, Zheng-Hai Huang, Liqun Qi

SIAM J. Matrix Anal. Appl., 2016

Completely Positive Tensors: Properties, Easily Checkable Subclasses, and Tractable Relaxations.

Ziyan Luo, Liqun Qi

SIAM J. Matrix Anal. Appl., 2016

A Necessary and Sufficient Condition for Existence of a Positive Perron Vector.

Sheng-Long Hu, Liqun Qi

SIAM J. Matrix Anal. Appl., 2016

Computing Extreme Eigenvalues of Large Scale Hankel Tensors.

Yannan Chen, Liqun Qi, Qun Wang

J. Sci. Comput., 2016

Tensor Complementarity Problem and Semi-positive Tensors.

Yisheng Song, Liqun Qi

J. Optim. Theory Appl., 2016

A Tensor Analogy of Yuan's Theorem of the Alternative and Polynomial Optimization with Sign structure.

Sheng-Long Hu, Guoyin Li, Liqun Qi

J. Optim. Theory Appl., 2016

Positive-Definite Tensors to Nonlinear Complementarity Problems.

Maolin Che, Liqun Qi, Yimin Wei

J. Optim. Theory Appl., 2016

Eigenvalue analysis of constrained minimization problem for homogeneous polynomial.

Yisheng Song, Liqun Qi

J. Glob. Optim., 2016

The extremal spectral radii of k -uniform supertrees.

Honghai Li, Jia-Yu Shao, Liqun Qi

J. Comb. Optim., 2016

Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors.

Yannan Chen, Liqun Qi, Qun Wang

J. Comput. Appl. Math., 2016

Higher-degree eigenvalue complementarity problems for tensors.

Chen Ling, Hongjin He, Liqun Qi

Comput. Optim. Appl., 2016

On the cone eigenvalue complementarity problem for higher-order tensors.

Chen Ling, Hongjin He, Liqun Qi

Comput. Optim. Appl., 2016

A semismooth Newton method for tensor eigenvalue complementarity problem.

Zhongming Chen, Liqun Qi

Comput. Optim. Appl., 2016

Further results on Cauchy tensors and Hankel tensors.

Haibin Chen, Guoyin Li, Liqun Qi

Appl. Math. Comput., 2016

2015

Fast Hankel tensor-vector product and its application to exponential data fitting.

Weiyang Ding, Liqun Qi, Yimin Wei

Numer. Linear Algebra Appl., 2015

Properties of Some Classes of Structured Tensors.

Yisheng Song, Liqun Qi

J. Optim. Theory Appl., 2015

A quadratically convergent algorithm for finding the largest eigenvalue of a nonnegative homogeneous polynomial map.

Qin Ni, Liqun Qi

J. Glob. Optim., 2015

The Laplacian of a uniform hypergraph.

Sheng-Long Hu, Liqun Qi

J. Comb. Optim., 2015

An Explicit SOS Decomposition of A Fourth Order Four Dimensional Hankel Tensor with A Symmetric Generating Vector.

Yannan Chen, Liqun Qi, Qun Wang

CoRR, 2015

2014

M-Tensors and Some Applications.

Liping Zhang, Liqun Qi, Guanglu Zhou

SIAM J. Matrix Anal. Appl., 2014

Nonnegative Tensor Factorization, Completely Positive Tensors, and a Hierarchical Elimination Algorithm.

Liqun Qi, Changqing Xu, Yi Xu

SIAM J. Matrix Anal. Appl., 2014

Geometric Measure of Entanglement and U-Eigenvalues of Tensors.

Guyan Ni, Liqun Qi, Minru Bai

SIAM J. Matrix Anal. Appl., 2014

Nonmonotone Barzilai-Borwein Gradient Algorithm for ℓ₁-Regularized Nonsmooth Minimization in Compressive Sensing.

Yunhai Xiao, Soon-Yi Wu, Liqun Qi

J. Sci. Comput., 2014

Approximation Bounds for Trilinear and Biquadratic Optimization Problems Over Nonconvex Constraints.

Yuning Yang, Qingzhi Yang, Liqun Qi

J. Optim. Theory Appl., 2014

Geometric Measure of Quantum Entanglement for Multipartite Mixed States.

Sheng-Long Hu, Liqun Qi, Yisheng Song, Guofeng Zhang

Int. J. Softw. Informatics, 2014

The eigenvectors associated with the zero eigenvalues of the Laplacian and signless Laplacian tensors of a uniform hypergraph.

Sheng-Long Hu, Liqun Qi

Discret. Appl. Math., 2014

Properties and methods for finding the best rank-one approximation to higher-order tensors.

Yuning Yang, Qingzhi Yang, Liqun Qi

Comput. Optim. Appl., 2014

An alternating structured trust region algorithm for separable optimization problems with nonconvex constraints.

Dan Xue, Wenyu Sun, Liqun Qi

Comput. Optim. Appl., 2014

Space tensor conic programming.

Liqun Qi, Yinyu Ye

Comput. Optim. Appl., 2014

Convergence of a second order Markov chain.

Sheng-Long Hu, Liqun Qi

Appl. Math. Comput., 2014

2013

Spectral Properties of Positively Homogeneous Operators Induced by Higher Order Tensors.

Yisheng Song, Liqun Qi

SIAM J. Matrix Anal. Appl., 2013

On the largest eigenvalue of a symmetric nonnegative tensor.

Guanglu Zhou, Liqun Qi, Soon-Yi Wu

Numer. Linear Algebra Appl., 2013

The dominant eigenvalue of an essentially nonnegative tensor.

Liping Zhang, Liqun Qi, Ziyan Luo, Yi Xu

Numer. Linear Algebra Appl., 2013

The spectral theory of tensors and its applications.

Lek-Heng Lim, Michael K. Ng, Liqun Qi

Numer. Linear Algebra Appl., 2013

The <i>Z</i>-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory.

Guoyin Li, Liqun Qi, Gaohang Yu

Numer. Linear Algebra Appl., 2013

Finding the extreme Z-eigenvalues of tensors via a sequential semidefinite programming method.

Sheng-Long Hu, Zheng-Hai Huang, Liqun Qi

Numer. Linear Algebra Appl., 2013

A survey on the spectral theory of nonnegative tensors.

Kung-Ching Chang, Liqun Qi, Tan Zhang

Numer. Linear Algebra Appl., 2013

On determinants and eigenvalue theory of tensors.

Sheng-Long Hu, Zheng-Hai Huang, Chen Ling, Liqun Qi

J. Symb. Comput., 2013

Finding the Maximum Eigenvalue of Essentially Nonnegative Symmetric Tensors via Sum of Squares Programming.

Sheng-Long Hu, Guoyin Li, Liqun Qi, Yisheng Song

J. Optim. Theory Appl., 2013

Nonnegative Diffusion Orientation Distribution Function.

Liqun Qi, Gaohang Yu, Yi Xu

J. Math. Imaging Vis., 2013

Semi-infinite programming method for optimal power flow with transient stability and variable clearing time of faults.

Xiaojiao Tong, Chen Ling, Soon-Yi Wu, Liqun Qi

J. Glob. Optim., 2013

The E-characteristic polynomial of a tensor of dimension 2.

Sheng-Long Hu, Liqun Qi

Appl. Math. Lett., 2013

2012

The Best Rank-1 Approximation of a Symmetric Tensor and Related Spherical Optimization Problems.

Xinzhen Zhang, Chen Ling, Liqun Qi

SIAM J. Matrix Anal. Appl., 2012

Linear convergence of an algorithm for computing the largest eigenvalue of a nonnegative tensor.

Liping Zhang, Liqun Qi

Numer. Linear Algebra Appl., 2012

Structured matrices and tensors.

Michael K. Ng, Raymond H. Chan, Xiaojun Chen, Liqun Qi, Franklin T. Luk, Eugene Tyrtyshnikov

Numer. Linear Algebra Appl., 2012

Semidefinite relaxation approximation for multivariate bi-quadratic optimization with quadratic constraints.

Chen Ling, Xinzhen Zhang, Liqun Qi

Numer. Linear Algebra Appl., 2012

The cubic spherical optimization problems.

Xinzhen Zhang, Liqun Qi, Yinyu Ye

Math. Comput., 2012

Standard bi-quadratic optimization problems and unconstrained polynomial reformulations.

Immanuel M. Bomze, Chen Ling, Liqun Qi, Xinzhen Zhang

J. Glob. Optim., 2012

Algebraic connectivity of an even uniform hypergraph.

Sheng-Long Hu, Liqun Qi

J. Comb. Optim., 2012

A smoothing SQP method for nonlinear programs with stability constraints arising from power systems.

Xiaojiao Tong, Liqun Qi, Soon-Yi Wu, Felix F. Wu

Comput. Optim. Appl., 2012

2011

New ALS Methods With Extrapolating Search Directions and Optimal Step Size for Complex-Valued Tensor Decompositions.

Yannan Chen, Deren Han, Liqun Qi

IEEE Trans. Signal Process., 2011

The Best Rank-One Approximation Ratio of a Tensor Space.

Liqun Qi

SIAM J. Matrix Anal. Appl., 2011

Semidefinite relaxation bounds for bi-quadratic optimization problems with quadratic constraints.

Xinzhen Zhang, Chen Ling, Liqun Qi

J. Glob. Optim., 2011

Preface.

C. K. Chan, Xiaojun Chen, Liqun Qi, Colin Rogers, Zhong-Ci Shi, Ian H. Sloan

J. Comput. Appl. Math., 2011

A feasible direction method for the semidefinite program with box constraints.

Yi Xu, Wenyu Sun, Liqun Qi

Appl. Math. Lett., 2011

2010

Impulse noise removal by a nonmonotone adaptive gradient method.

Gaohang Yu, Liqun Qi, Yimin Sun, Yi Zhou

Signal Process., 2010

Higher Order Positive Semidefinite Diffusion Tensor Imaging.

Liqun Qi, Gaohang Yu, Ed X. Wu

SIAM J. Imaging Sci., 2010

Globally and superlinearly convergent inexact Newton-Krylov algorithms for solving nonsmooth equations.

Jinhai Chen, Liqun Qi

Numer. Linear Algebra Appl., 2010

Pseudotransient Continuation for Solving Systems of Nonsmooth Equations with Inequality Constraints.

J. Chen, Liqun Qi

J. Optim. Theory Appl., 2010

A new smoothing Newton-type algorithm for semi-infinite programming.

Chen Ling, Qin Ni, Liqun Qi, Soon-Yi Wu

J. Glob. Optim., 2010

Global convergence of a filter-trust-region algorithm for solving nonsmooth equations.

Zhenghao Yang, Wenyu Sun, Liqun Qi

Int. J. Comput. Math., 2010

A Nonmonotone Filter Barzilai-Borwein Method for Optimization.

Yan Zhang, Wenyu Sun, Liqun Qi

Asia Pac. J. Oper. Res., 2010

A nonmonotone globalization algorithm with preconditioned gradient path for unconstrained optimization.

Qunyan Zhou, Wenyu Sun, Liqun Qi

Appl. Math. Comput., 2010

A smoothing method for solving portfolio optimization with CVaR and applications in allocation of generation asset.

Xiaojiao Tong, Liqun Qi, Felix F. Wu, Hui Zhou

Appl. Math. Comput., 2010

2009

Nonsmooth and Smoothing Methods for Nonlinear Complementarity Problems and Variational Inequalities.

Liqun Qi, Defeng Sun

Proceedings of the Encyclopedia of Optimization, Second Edition, 2009

Finding the Largest Eigenvalue of a Nonnegative Tensor.

Michael K. P. Ng, Liqun Qi, Guanglu Zhou

SIAM J. Matrix Anal. Appl., 2009

Biquadratic Optimization Over Unit Spheres and Semidefinite Programming Relaxations.

Chen Ling, Jiawang Nie, Liqun Qi, Yinyu Ye

SIAM J. Optim., 2009

Worst-case CVaR based portfolio optimization models with applications to scenario planning.

Xiaojiao Tong, Felix F. Wu, Liqun Qi

Optim. Methods Softw., 2009

A practical method for computing the largest <i>M</i>-eigenvalue of a fourth-order partially symmetric tensor.

Yiju Wang, Liqun Qi, Xinzhen Zhang

Numer. Linear Algebra Appl., 2009

Does diffusion kurtosis imaging lead to better neural tissue characterization? A rodent brain maturation study.

Matthew M. Cheung, Edward S. Hui, Kevin C. Chan, Joseph A. Helpern, Liqun Qi, Ed X. Wu

NeuroImage, 2009

Z-eigenvalue methods for a global polynomial optimization problem.

Liqun Qi, Fei Wang, Yiju Wang

Math. Program., 2009

Shape-Preserving Interpolation and Smoothing for Options Market Implied Volatility.

Hongxia Yin, Y. Wang, Liqun Qi

J. Optimization Theory and Applications, 2009

Global Error Bound for the Generalized Linear Complementarity Problem over a Polyhedral Cone.

Hongchun Sun, Yiju Wang, Liqun Qi

J. Optimization Theory and Applications, 2009

On Nonmonotone Chambolle Gradient Projection Algorithms for Total Variation Image Restoration.

Gaohang Yu, Liqun Qi, Yu-Hong Dai

J. Math. Imaging Vis., 2009

A smoothing projected Newton-type algorithm for semi-infinite programming.

Liqun Qi, Chen Ling, Xiaojiao Tong, Guanglu Zhou

Comput. Optim. Appl., 2009

2008

Available Transfer Capability Calculation Using a Smoothing Pointwise Maximum Function.

Xiaojiao Tong, Felix F. Wu, Liqun Qi

IEEE Trans. Circuits Syst. I Regul. Pap., 2008

An Eigenvalue Method for Testing Positive Definiteness of a Multivariate Form.

Qin Ni, Liqun Qi, Fei Wang

IEEE Trans. Autom. Control., 2008

Projected Pseudotransient Continuation.

C. T. Kelley, Li-Zhi Liao, Liqun Qi, Moody T. Chu, Jill P. Reese, C. Winton

SIAM J. Numer. Anal., 2008

The SC.

Chen Ling, Liqun Qi, Guanglu Zhou, Louis Caccetta

Oper. Res. Lett., 2008

A new class of quasi-Newton updating formulas.

Dong-Hui Li, Liqun Qi, Vera Roshchina

Optim. Methods Softw., 2008

Extreme diffusion values for non-Gaussian diffusions.

Deren Han, Liqun Qi, Ed X. Wu

Optim. Methods Softw., 2008

Towards better MR characterization of neural tissues using directional diffusion kurtosis analysis.

Edward S. Hui, Matthew M. Cheung, Liqun Qi, Ed X. Wu

NeuroImage, 2008

Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems.

Zeng Xin Wei, Guoyin Li, Liqun Qi

Math. Comput., 2008

2007

On the successive supersymmetric rank-1 decomposition of higher-order supersymmetric tensors.

Yiju Wang, Liqun Qi

Numer. Linear Algebra Appl., 2007

On Semismooth Newton's Methods for Total Variation Minimization.

Michael K. Ng, Liqun Qi, Yu-Fei Yang, Yu-Mei Huang

J. Math. Imaging Vis., 2007

2006

A Truncated Projected Newton-Type Algorithm for Large-Scale Semi-infinite Programming.

Qin Ni, Chen Ling, Liqun Qi, Kok Lay Teo

SIAM J. Optim., 2006

On the convergence of an inexact Newton-type method.

Guanglu Zhou, Liqun Qi

Oper. Res. Lett., 2006

Convergence rate of Newton's method for <i>L</i>₂ spectral estimation.

Hongxia Yin, Chen Ling, Liqun Qi

Math. Program., 2006

Rank and eigenvalues of a supersymmetric tensor, the multivariate homogeneous polynomial and the algebraic hypersurface it defines.

Liqun Qi

J. Symb. Comput., 2006

Boundedness and Regularity Properties of Semismooth Reformulations of Variational Inequalities.

Liqun Qi

J. Glob. Optim., 2006

The shortest path improvement problems under Hamming distance.

Binwu Zhang, Jianzhong Zhang, Liqun Qi

J. Comb. Optim., 2006

Some further results on minimum distribution cost flow problems.

Haiyan Lu, Enyu Yao, Liqun Qi

J. Comb. Optim., 2006

The Lagrangian Globalization Method for Nonsmooth Constrained Equations.

Xiaojiao Tong, Liqun Qi, Yu-Fei Yang

Comput. Optim. Appl., 2006

New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems.

Zengxin Wei, Guoyin Li, Liqun Qi

Appl. Math. Comput., 2006

New quasi-Newton methods for unconstrained optimization problems.

Zengxin Wei, Guoyin Li, Liqun Qi

Appl. Math. Comput., 2006

2005

Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis-II.

Houduo Qi, Liqun Qi, Xiaoqi Yang

IEEE Trans. Neural Networks, 2005

A novel neural network for variational inequalities with linear and nonlinear constraints.

Xing-Bao Gao, Li-Zhi Liao, Liqun Qi

IEEE Trans. Neural Networks, 2005

Comments on "Explicit criterion for the positive definiteness of a general quartic form".

Fei Wang, Liqun Qi

IEEE Trans. Autom. Control., 2005

An iterative method for solving KKT system of the semi-infinite programming.

Soon-Yi Wu, Dong-Hui Li, Liqun Qi, Guanglu Zhou

Optim. Methods Softw., 2005

Differentiability and semismoothness properties of integral functions and their applications.

Liqun Qi, Alexander Shapiro, Chen Ling

Math. Program., 2005

Eigenvalues of a real supersymmetric tensor.

Liqun Qi

J. Symb. Comput., 2005

A Gradient-based Continuous Method for Large-scale Optimization Problems.

Li-Zhi Liao, Liqun Qi, Hon Wah Tam

J. Glob. Optim., 2005

Special Issue of <i>Journal of Global Optimization</i> on Optimization Techniques and Applications.

Duan Li, Liqun Qi, Kok Lay Teo

J. Glob. Optim., 2005

Smoothing Trust Region Methods for Nonlinear Complementarity Problems with <i>P</i> ₀-Functions.

Yu-Fei Yang, Liqun Qi

Ann. Oper. Res., 2005

A manufacturing supply chain optimization model for distilling process.

Jiangtao Mo, Liqun Qi, Zengxin Wei

Appl. Math. Comput., 2005

2004

Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis.

Houduo Qi, Liqun Qi

IEEE Trans. Neural Networks, 2004

A Squared Smoothing Newton Method for Nonsmooth Matrix Equations and Its Applications in Semidefinite Optimization Problems.

Jie Sun, Defeng Sun, Liqun Qi

SIAM J. Optim., 2004

Global Minimization of Normal Quartic Polynomials Based on Global Descent Directions.

Liqun Qi, Zhong Wan, Yu-Fei Yang

SIAM J. Optim., 2004

Sub-quadratic convergence of a smoothing Newton algorithm for the <i>P</i> _<i>0</i>- and monotone LCP.

Zheng-Hai Huang, Liqun Qi, Defeng Sun

Math. Program., 2004

Extrema of a Real Polynomial.

Liqun Qi

J. Glob. Optim., 2004

Neurodynamical Optimization.

Li-Zhi Liao, Houduo Qi, Liqun Qi

J. Glob. Optim., 2004

A Smoothing Newton Method for Semi-Infinite Programming.

Dong-Hui Li, Liqun Qi, Judy Tam, Soon-Yi Wu

J. Glob. Optim., 2004

Smooth Convex Approximation to the Maximum Eigenvalue Function.

Xin Chen, Houduo Qi, Liqun Qi, Kok Lay Teo

J. Glob. Optim., 2004

Regularized Newton Methods for Convex Minimization Problems with Singular Solutions.

Dong-Hui Li, Masao Fukushima, Liqun Qi, Nobuo Yamashita

Comput. Optim. Appl., 2004

2003

A Feasible Sequential Linear Equation Method for Inequality Constrained Optimization.

Yu-Fei Yang, Dong-Hui Li, Liqun Qi

SIAM J. Optim., 2003

Solving Karush--Kuhn--Tucker Systems via the Trust Region and the Conjugate Gradient Methods.

Houduo Qi, Liqun Qi, Defeng Sun

SIAM J. Optim., 2003

Finite termination of a dual Newton method for convex best <i>C</i> ^<i>1</i> interpolation and smoothing.

Houduo Qi, Liqun Qi

Numerische Mathematik, 2003

Semismooth Newton Methods for Solving Semi-Infinite Programming Problems.

Liqun Qi, Soon-Yi Wu, Guanglu Zhou

J. Glob. Optim., 2003

Multivariate Polynomial Minimization and Its Application in Signal Processing.

Liqun Qi, Kok Lay Teo

J. Glob. Optim., 2003

A Strongly Semismooth Integral Function and Its Application.

Liqun Qi, Hongxia Yin

Comput. Optim. Appl., 2003

Guest Editorial.

Liqun Qi

Comput. Optim. Appl., 2003

2002

Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations.

Guang-Ze Gu, Dong-Hui Li, Liqun Qi, Shu-Zi Zhou

SIAM J. Numer. Anal., 2002

A Newton Method for Shape-Preserving Spline Interpolation.

Asen L. Dontchev, Houduo Qi, Liqun Qi, Hongxia Yin

SIAM J. Optim., 2002

2001

Corrigendum: On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods.

Liqun Qi, Zengxin Wei

SIAM J. Optim., 2001

Second-Order Algorithms for Generalized Finite and Semi-Infinite Min-Max Problems.

Elijah Polak, Liqun Qi, Defeng Sun

SIAM J. Optim., 2001

Convergence of Newton's method for convex best interpolation.

Asen L. Dontchev, Houduo Qi, Liqun Qi

Numerische Mathematik, 2001

A Globally and Superlinearly Convergent SQP Algorithm for Nonlinear Constrained Optimization.

Liqun Qi, Yu-Fei Yang

J. Glob. Optim., 2001

Stability Analysis of Gradient-Based Neural Networks for Optimization Problems.

Qiaoming Han, Li-Zhi Liao, Houduo Qi, Liqun Qi

J. Glob. Optim., 2001

2000

Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations.

Xiaojun Chen, Zuhair Nashed, Liqun Qi

SIAM J. Numer. Anal., 2000

A Smoothing Newton Method for Minimizing a Sum of Euclidean Norms.

Liqun Qi, Guanglu Zhou

SIAM J. Optim., 2000

On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods.

Liqun Qi, Zengxin Wei

SIAM J. Optim., 2000

A New QP-Free, Globally Convergent, Locally Superlinearly Convergent Algorithm For Inequality Constrained Optimization.

Houduo Qi, Liqun Qi

SIAM J. Optim., 2000

A new look at smoothing Newton methods for nonlinear complementarity problems and box constrained variational inequalities.

Liqun Qi, Defeng Sun, Guanglu Zhou

Math. Program., 2000

Improving the convergence of non-interior point algorithms for nonlinear complementarity problems.

Liqun Qi, Defeng Sun

Math. Comput., 2000

Introduction.

Masao Fukushima, Liqun Qi

Comput. Optim. Appl., 2000

1999

Properties of the Moreau-Yosida regularization of a piecewise C² convex function.

Robert Mifflin, Liqun Qi, Defeng Sun

Math. Program., 1999

A smoothing method for mathematical programs with equilibrium constraints.

Francisco Facchinei, Houyuan Jiang, Liqun Qi

Math. Program., 1999

On NCP-Functions.

Defeng Sun, Liqun Qi

Comput. Optim. Appl., 1999

First-Order Algorithms for Generalized Semi-Infinite Min-Max Problems.

Elijah Polak, Liqun Qi, Defeng Sun

Comput. Optim. Appl., 1999

1998

Quasi-Newton Bundle-Type Methods for Nondifferentiable Convex Optimization.

Robert Mifflin, Defeng Sun, Liqun Qi

SIAM J. Optim., 1998

A Trust Region Method for Solving Generalized Complementarity Problems.

Houyuan Jiang, Masao Fukushima, Liqun Qi, Defeng Sun

SIAM J. Optim., 1998

Secant methods for semismooth equations.

Florian A. Potra, Liqun Qi, Defeng Sun

Numerische Mathematik, 1998

Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities.

Xiaojun Chen, Liqun Qi, Defeng Sun

Math. Comput., 1998

1997

Convergence of Newton's Method for Singular Smooth and Nonsmooth Equations Using Adaptive Outer Inverses.

Xiaojun Chen, Zuhair Nashed, Liqun Qi

SIAM J. Optim., 1997

On superlinear convergence of quasi-Newton methods for nonsmooth equations.

Liqun Qi

Oper. Res. Lett., 1997

Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving these Equations.

Liqun Qi, Houyuan Jiang

Math. Oper. Res., 1997

1996

A Globally and Superlinearly Convergent Algorithm for Nonsmooth Convex Minimization.

Masao Fukushima, Liqun Qi

SIAM J. Optim., 1996

Globalization of Newton's Method for Solving Non-linear Equations.

John L. Nazareth, Liqun Qi

Numer. Linear Algebra Appl., 1996

A preconditioning proximal Newton method for nondifferentiable convex optimization.

Liqun Qi, Xiaojun Chen

Math. Program., 1996

1995

Trust Region Algorithms for Solving Nonsmooth Equations.

Liqun Qi

SIAM J. Optim., 1995

Subdifferential Convergence in Stochastic Programs.

John R. Birge, Liqun Qi

SIAM J. Optim., 1995

Iteration Functions in Some Nonsmooth Optimization Algorithms.

René Poliquin, Liqun Qi

Math. Oper. Res., 1995

An SQP algorithm for extended linear-quadratic problems in stochastic programming.

Liqun Qi, Robert S. Womersley

Ann. Oper. Res., 1995

Continuous approximation schemes for stochastic programs.

John R. Birge, Liqun Qi

Ann. Oper. Res., 1995

1994

A trust region algorithm for minimization of locally Lipschitzian functions.

Liqun Qi, Jie Sun

Math. Program., 1994

Superlinearly convergent approximate Newton methods for LC optimization problems.

Liqun Qi

Math. Program., 1994

A parameterized Newton method and a quasi-Newton method for nonsmooth equations.

Xiaojun Chen, Liqun Qi

Comput. Optim. Appl., 1994

1993

Nonsmooth Equations: Motivation and Algorithms.

Jong-Shi Pang, Liqun Qi

SIAM J. Optim., 1993

A nonsmooth version of Newton's method.

Liqun Qi, Jie Sun

Math. Program., 1993

Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations.

Liqun Qi

Math. Oper. Res., 1993

Semiregularity and Generalized Subdifferentials with Applications to Optimization.

John R. Birge, Liqun Qi

Math. Oper. Res., 1993

Linear-Time Separation Algorithms for the Three-Index Assignment Polytope.

Egon Balas, Liqun Qi

Discret. Appl. Math., 1993

1992

An interior point algorithm of O(Quadrat Root(m) absolute (ln epsilon)) iterations for C-convex programming.

Jie Sun, Liqun Qi

Math. Program., 1992

On facets of the three-index assignment polytope.

Geena Gwan, Liqun Qi

Australas. J Comb., 1992

1991

Quasidifferentials and maximal normal operators.

Liqun Qi

Math. Program., 1991

1988

Directed submodularity, ditroids and directed submodular flows.

Liqun Qi

Math. Program., 1988

Odd Submodular Functions, Dilworth Functions and Discrete Convex Functions.

Liqun Qi

Math. Oper. Res., 1988

1987

The <i>A</i>-Forest Iteration Method for the Stochastic Generalized Transportation Problem.

Liqun Qi

Math. Oper. Res., 1987

1983

Complete Closedness of Maximal Monotone Operators.

Liqun Qi

Math. Oper. Res., 1983

1981

Interval boxes of solutions of nonlinear systems.

Liqun Qi

Computing, 1981