Numerical Linear Algebra

[1] Solving the cubic regularization model by a nested restarting Lanczos method

Xiaojing Jia School of Mathematics, Shanghai University of Finance and Economics Xin Liang Yau Mathematical Sciences Center, Tsinghua University, and Yanqi Lake Beijing Insti- tute of Mathematical Sciences and Applications Chungen Shen College of Science, University of Shanghai for Science and Technology Lei-Hong Zhang School of Mathematical Sciences, Soochow University

Numerical Linear Algebra mathscidoc:2204.26005

SIAM J. Matrix Anal. Appl.
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[2] Convergence analysis of vector extended LOBPCG for computing extreme eigenvalues

Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems Xin Liang Yau Mathematical Sciences Center, Tsinghua University

Numerical Linear Algebra mathscidoc:2204.26004

Numer. Lin. Alg. Appl.
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[3] Note on finding an optimal deflation for quadratic matrix polynomials

Xin Liang Yau Mathematical Sciences Center, Tsinghua University

Numerical Linear Algebra mathscidoc:2204.26003

CSIAM Trans. Appl. Math., 2, (2), 336-356, 2021.6
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[4] Relative perturbation theory for quadratic Hermitian eigenvalue problems

Peter Benner Max Planck Institute for Dynamics of Complex Technical Systems Xin Liang Max Planck Institute for Dynamics of Complex Technical Systems Suzana Miodragović Department of Mathematics, University of Osijek Ninoslav Truhar Department of Mathematics, University of Osijek

Numerical Linear Algebra mathscidoc:2204.26002

Linear Algebra Appl., 618, 97-128, 2021.6
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[5] The hyperbolic quadratic eigenvalue problem

Xin Liang School of Mathematical Science, Peking University Ren-Cang Li Department of Mathematics, University of Texas at Arlington

Numerical Linear Algebra mathscidoc:2204.26001

Forum of Mathematics, Sigma, 3, e13, 2015.8
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[6] Kurdyka- Lojasiewicz exponent via inf-projection

Peiran Yu The Hong Kong Polytechnic University, Guoyin Li University of New South Wales Tingkei Pong The Hong Kong Polytechnic University,

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25006

Foundations of Computational Mathematics, 2021.7
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[7] 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 Qufu Normal University, Rizhao, China Yannan Chen South China normal University, China Guoyin Li University of New South Wales Liqun Qi The Hong Kong Polytechnic University,

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25005

25, (1), e2125, 2018.11
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[8] A note on alternating projections for ill-posed semidefinite feasibility problems

Dmitriy Drusvyatskiy University of Washington Guoyin Li University of New South Wales Henry Wolkowicz University of Waterloo

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25003

Mathematical Programming, 162, 537-548, 2017.11
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[9] Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization

V. Jeyakumar University of New South Wales Guoyin Li University of New South Wales

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25002

Mathematical Programming, 147, 171-206, 2014.6
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[10] Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets

J.M. Borwein University of Newcastle Guoyin Li University of New South Wales Liangjin Yao University of Newcastle

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2108.25001

SIAM Journal on Optimization, 24, (1), 498–527, 2014.10
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[11] Accurate Numerical Solution for Structured M-Matrix Algebraic Riccati Equations

Changli Liu Sichuan University Wei-guo Wang Ocean University of China Jungong Xue Fudan University Ren-Cang Li University of Texas at Arlington

Numerical Linear Algebra mathscidoc:2105.26004

Journal of Computational and Applied Mathematics, 396, 113614, 2021.4
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[12] Accurate Numerical Solution For Shifted M-Matrix Algebraic Riccati Equations

Changli Liu Sichuan University Jungong Xue Fudan University Ren-Cang Li University of Texas at Arlington

Numerical Linear Algebra mathscidoc:2105.26003

Journal of Scientific Computing, 84, 15, 2020.3
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[13] First-order Perturbation Theory for Eigenvalues and Eigenvectors

Anne Greenbaum University of Washington Ren-Cang Li University of Texas at Arlington Michael Overton New York University

Numerical Linear Algebra mathscidoc:2105.26002

SIAM Review, 62, (2), 463-482, 2020.6
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[14] Highly Accurate Doubling Algorithm for Quadratic Matrix Equation from Quasi-Birth-and-Death Process

Cairong Chen Beihang University Ren-Cang Li University of Texas at Arlington Changfeng Ma Fujian Normal University

Numerical Linear Algebra mathscidoc:2105.26001

Linear Algebra and its Applications, 583, 1-45, 2019.4
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[15] FAME: Fast Algorithms for Maxwell’s Equations for Three-Dimensional Photonic Crystals

Tsung-Ming Huang National Taiwan Normal University Tiexiang Li Southeast University Jia-Wei Lin National Chiao Tung University Wen-Wei Lin National Chiao Tung University Xing-Long Lyu Southeast University Sheng Wang National Chiao Tung University

Numerical Analysis and Scientific Computing Numerical Linear Algebra mathscidoc:2103.25002

ACM Transactions on Mathematical Software, 2021.1
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[16] The Bi-Lebedev Scheme for the Maxwell Eigenvalue Problem with 3D Bi-anisotropic Complex Media

Xing-Long Lyu Southeast University Tiexiang Li Southeast University Tsung-Ming Huang National Taiwan Normal University Wen-Wei Lin National Chiao Tung University

Numerical Linear Algebra mathscidoc:2103.26001

Computer Physics Communications, 2021.4
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[17] The RayleighRitz method, refinement and Arnoldi process for periodic matrix pairs

Eric King-Wah Chu Hung-Yuan Fan Zhongxiao Jia Tiexiang Li Wen-Wei Lin

Numerical Linear Algebra mathscidoc:1912.43749

Journal of computational and applied mathematics, 235, (8), 2626-2639, 2011.2
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[18] A Schur-Newton algorithm for robust pole assignment

Tiexiang Li Eric King-Wah Chu

Numerical Linear Algebra mathscidoc:1912.43747

Taiwanese Journal of Mathematics, 11, (5), 1485-1502, 2007
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[19] Robust pole assignment for ordinary and descriptor systems via the schur form

Tiexiang Li Eric King-wah Chu Wen-Wei Lin

Numerical Linear Algebra mathscidoc:1912.43742

341-365, 2011
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[20] Solving large-scale discrete-time algebraic Riccati equations by doubling

Tiexiang Li Eric King-wah Chu Wen-Wei Lin

Numerical Linear Algebra mathscidoc:1912.43739

A= A (I+ GH), 1, 3, 2012
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[21] A symmetric structure-preserving QR algorithm for linear response eigenvalue problems

Tiexiang Li Ren-Cang Li Wen-Wei Lin

Numerical Linear Algebra mathscidoc:1912.43737

Linear Algebra and its Applications, 520, 191-214, 2017.5
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[22] The palindromic generalized eigenvalue problem A x= Ax: Numerical solution and applications

Tiexiang Li Chun-Yueh Chiang Eric King-wah Chu Wen-Wei Lin

Numerical Linear Algebra mathscidoc:1912.43736

Linear Algebra and its Applications, 434, (11), 2269-2284, 2011.6
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[23] A variant of multi-task n-vehicle exploration problem: Maximizing every processors average profit

Yangyang Xu Jin-chuan Cui

Numerical Linear Algebra mathscidoc:1912.43155

Acta Mathematicae Applicatae Sinica, English Series, 28, (3), 463-474, 2012.7
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[24] Maximum Correntropy Criterion based Sparse Subspace Learning for Unsupervised Feature Selection

Nan Zhou Yangyang Xu Hong Cheng Zejian Yuan Badong Chen

Numerical Linear Algebra mathscidoc:1912.43154

IEEE Transactions on Circuits and Systems for Video Technology, 29, (2), 404-417, 2017
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[25] Proximal gradient method for huberized support vector machine

Yangyang Xu

Numerical Linear Algebra mathscidoc:1912.43153

2016.6
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[26] Primal-dual stochastic gradient method for convex programs with many functional constraints

Yangyang Xu

Numerical Linear Algebra mathscidoc:1912.43152

arXiv preprint arXiv:1802.02724, 2018.2
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[27] Asynchronous parallel primal-dual block coordinate update methods for affinely constrained convex programs

Yangyang Xu

Numerical Linear Algebra mathscidoc:1912.43151

Computational Optimization and Applications, 72, (1), 87-113, 2019
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[28] Hybrid Jacobian and Gauss-Seidel proximal block coordinate update methods for linearly constrained convex programming

Yangyang Xu

Numerical Linear Algebra mathscidoc:1912.43150

SIAM Journal on Optimization, 28, (1), 646-670, 2018
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[29] Accelerated Primal-Dual Proximal Block Coordinate Updating Methods for Constrained Convex Optimization

Yangyang Xu Shuzhong Zhang

Numerical Linear Algebra mathscidoc:1912.43149

Computational Optimization and Applications, 70, (1), 91--128, 2018
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[30] Randomized Primal-Dual Proximal Block Coordinate Updates

Xiang Gao Yangyang Xu Shuzhong Zhang

Numerical Linear Algebra mathscidoc:1912.43147

Journal of the Operations Research Society of China, 7, (2), 205--250, 2019
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[31] Decentralized low-rank matrix completion

Qing Ling Yangyang Xu Wotao Yin Zaiwen Wen

Numerical Linear Algebra mathscidoc:1912.43144

2925-2928, 2012.3
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[32] Coordinate Friendly Structures, Algorithms and Applications

Zhimin Peng Tianyu Wu Yangyang Xu Ming Yan Wotao Yin

Numerical Linear Algebra mathscidoc:1912.43143

Annals of Mathematical Sciences and Applications, 1, (1), 57-119, 2016
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[33] Parallel matrix factorization for low-rank tensor completion

Yangyang Xu Ruru Hao Wotao Yin Zhixun Su

Numerical Linear Algebra mathscidoc:1912.43142

Inverse Problems and Imaging, 9, (2), 601-624, 2013
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[34] An alternating direction algorithm for matrix completion with nonnegative factors

Yangyang Xu Wotao Yin Zaiwen Wen Yin Zhang

Numerical Linear Algebra mathscidoc:1912.43141

Frontiers of Mathematics in China, 7, (2), 365-384, 2012.4
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[35] Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed Lq Minimization

Ming-Jun Lai Yangyang Xu Wotao Yin

Numerical Linear Algebra mathscidoc:1912.43140

SIAM Journal on Numerical Analysis, 51, (2), 927-957, 2013.3
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[36] A Riemannian inexact Newton-CG method for constructing a nonnegative matrix with prescribed realizable spectrum

Zhi Zhao Hangzhou Dianzi University Zheng-Jian Bai Xiamen University Xiao-Qing Jin University of Macau

Numerical Linear Algebra mathscidoc:1908.26001

Numerische Mathematik, 140, (4), 827-855, 2018.6
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[37] Structure-Preserving Methods for Computing Complex Band Structures of Three Dimensional Photonic Crystals

Tsung-Ming Huang Department of Mathematics, National Taiwan Normal University Tiexiang Li School of Mathematics, Southeast University Jia-Wei Lin Department of Applied Mathematics, National Chiao Tung University Wen-Wei Lin Department of Applied Mathematics, National Chiao Tung University Guohua Liu School of Mathematics, Southeast University Tian Heng Department of Applied Mathematics, National Chiao Tung University

Numerical Analysis and Scientific Computing Numerical Linear Algebra mathscidoc:1908.25001

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[38] Backward perturbation analysis and residual bounds of the linear response eigenvalue problem

Lei-Hong Zhang Wen-Wei Lin Ren-Cang Li

Numerical Linear Algebra mathscidoc:1904.26008

BIT Numerical Mathematics, 2015
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[39] Maximization of the sum of the trace ratio on the Stiefel manifold, II: Computation

Lei-Hong Zhang Ren-Cang Li

Numerical Linear Algebra Optimization and Control mathscidoc:1904.26007

SCIENCE CHINA Mathematics, 2015
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[40] Maximization of the sum of the trace ratio on the Stiefel manifold, I: Theory

Lei-Hong Zhang Ren-Cang Li

Numerical Linear Algebra Optimization and Control mathscidoc:1904.26006

SCIENCE CHINA Mathematics, 2014
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[41] Rayleigh-Ritz approximation for the linear response eigenvalue problem

Lei-Hong Zhang Jungong Xue Ren-Cang Li

Numerical Linear Algebra mathscidoc:1904.26005

SIAM Journal on Matrix Analysis and Applications, 2014
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[42] An efficient algorithm for second-order cone linear complementarity problems

Lei-Hong Zhang

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:1904.25010

MATHEMATICS OF COMPUTATION, 2014
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[43] An efficient matrix splitting method for the second-order cone complementarity problem

Lei-Hong Zhang WEI HONG YANG

Numerical Linear Algebra Optimization and Control mathscidoc:1904.26004

SIAM J. OPTIM., 2014
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[44] A Krylov subspace method for the large-scale second-order cone complementarity problem

Lei-Hong Zhang WEI HONG YANG CHUNGEN SHEN REN-CANG LI

Numerical Linear Algebra Optimization and Control mathscidoc:1904.26003

SIAM J. SCI. COMPUT.
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[45] A Lanczos method for large-scale extreme Lorentz eigenvalue problems

Lei-Hong Zhang CHUNGEN SHEN WEI HONG YANG JOAQUIM J. JU ́DICE

Numerical Linear Algebra Optimization and Control mathscidoc:1904.26002

SIAM J. MATRIX ANAL. APPL., 2018.4
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[46] A nested Lanczos method for the trust-region subproblem

Lei-Hong Zhang Shanghai University of Finance and Economics CHUNGEN SHEN

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:1904.25009

SIAM J. SCI. COMPUT., 2018.3
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[47] On an Eigenvector-Dependent Nonlinear Eigenvalue Problem

YUNFENG CAI Peking University Lei-Hong Zhang Shanghai University of Finance and Economics ZHAOJUN BAI University of California REN-CANG LI University of Texas at Arlington

Numerical Linear Algebra mathscidoc:1904.26001

SIAM J. MATRIX ANAL. APPL, 2018.9
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[48] Electromagnetic Field Behavior of 3D Maxwell’s Equations for Chiral Media

Tsung-Ming Huang Department of Mathematics, National Taiwan Normal University Tiexiang Li School of Mathematics, Southeast University Ruey-Lin Chern Institute of Applied Mechanics, National Taiwan University Wen-Wei Lin Department of Applied Mathematics, National Chiao Tung University

Numerical Linear Algebra mathscidoc:1901.26001

Journal Of Computational Physics, 2019
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[49] Electromagnetic Field Behavior of 3D Maxwell's Equations for Chiral Media

Tsung-Ming Huang National Taiwan Normal University Tiexiang Li Southeast University Ruey-Lin Chern National Taiwan University Wen-Wei Lin National Chiao Tung University

Numerical Linear Algebra mathscidoc:1811.26001

Journal of Computational Physics, 379, 118-131, 2019.3
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[50] Computing the full spectrum of large sparse palindromic quadratic eigenvalue problems arising from surface Green's function calculations

Tsung-Ming Huang Department of Mathematics, National Taiwan Normal University Wen-Wei Lin Department of Applied Mathematics, National Chiao Tung University Tian Heng Department of Applied Mathematics, National Chiao Tung University Guan-Hua Chen Department of Chemistry, The University of Hong Kong

Numerical Analysis and Scientific Computing Numerical Linear Algebra mathscidoc:1810.25001

Distinguished Paper Award in 2018

Journal of Computational Physics, 356, 340-355
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[51] Solving Three Dimensional Maxwell Eigenvalue Problems with Fourteen Bravais Lattices

Tsung-Ming Huang Department of Mathematics, National Taiwan Normal University Tiexiang Li School of Mathematics, Southeast University Wei-De Li Department of Mathematics, National Tsing-Hua University Jia-Wei Lin Department of Applied Mathematics, National Chiao Tung University Wen-Wei Lin Department of Applied Mathematics, National Chiao Tung University Tian Heng Department of Applied Mathematics, National Chiao Tung University

Numerical Analysis and Scientific Computing Numerical Linear Algebra mathscidoc:1810.07001

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[52] Highly Accurate Doubling Algorithms for M-matrix Algebraic Riccati Equations

Jungong Xue Fudan University Ren-Cang Li University of Texas at Arlington

Numerical Linear Algebra mathscidoc:1808.26002

Numerische Mathematik, 135, 733-767, 2017.10
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[53] Convergence of the block Lanczos method for eigenvalue clusters

Ren-Cang Li University of Texas at Arlington Lei-hong Zhang Shanghai University of Finance and Economics

Numerical Linear Algebra mathscidoc:1808.26001

Distinguished Paper Award in 2019

Numerische Mathematik, 131, 83-113, 2015.10
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[54] M-tensors and some applications

Li-Ping Zhang Department of Mathematical Sciences, Tsinghua University Liqun Qi Department of Applied Mathematics, Hong Kong Polytechnic University Guanglu Zhou Department of Mathematics and Statistics, Curtin University, Perth, Australia

Numerical Linear Algebra mathscidoc:1804.26001

SIAM Journal on Matrix Analysis and Applications, 35, (2), 437-452, 2014.4
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[55] A Novel Algorithm for Volume-Preserving Parameterizations of 3-Manifolds

Mei-Heng Yueh National Taiwan Normal University Tiexiang Li Southeast University Wen-Wei Lin National Chiao Tung University Shing-Tung Yau Harvard University

Computational Geometry Numerical Linear Algebra mathscidoc:1802.09001

SIAM Journal on Imaging Sciences, 12, (2), 1071–1098, 2019.6
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[56] A Finite Element Based Fast Eigensolver for Three Dimensional Anisotropic Photonic Crystals

So-Hsiang Chou Bowling Green State University Tsung-Ming Huang National Taiwan Normal University Tiexiang Li Southeast University Jia-Wei Lin National Chiao Tung University Wen-Wei Lin National Chiao Tung University

Numerical Linear Algebra mathscidoc:1802.26001

Journal of Computational Physics, 386, 611-631, 2019.6
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[57] A Riemannian Newton Algorithm for Nonlinear Eigenvalue Problems

Zhi Zhao University of Macau Zheng-Jian Bai Xiamen University Xiao-Qing Jin University of Macau

Numerical Linear Algebra mathscidoc:1801.26002

SIAM Journal on Matrix Analysis, 36, (2), 752-774, 2015.6
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[58] A Geometric Nonlinear Conjugate Gradient Method for Stochastic Inverse Eigenvalue Problems

Zhi Zhao Hangzhou Dianzi University Xiao-Qing Jin University of Macau Zheng-Jian Bai Xiamen University

Numerical Linear Algebra mathscidoc:1801.26001

SIAM Journal on Numerical Analysis, 54, (4), 2015-2035, 2016.7
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[59] RankRev: a Matlab package for computing the numerical rank and updating/downdating

Tsung-Lin Lee National Sun Yat-sen University Tien-Yien Li Michigan State University Zhonggang Zeng Northeastern Illinois University

Numerical Linear Algebra mathscidoc:1704.26001

2017.4
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[60] Minimization Principle for Linear Response Eigenvalue Problem II: Computation

Zhaojun Bai University of California at Davis Ren-Cang Li University of Texas at Arlington

Numerical Linear Algebra mathscidoc:1703.26005

SIAM Journal on Matrix Analysis and Applications, 34, (2), 392-416, 2013.1
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[61] Minimization Principle for Linear Response Eigenvalue Problem I: Theory

Zhaojun Bai University of California at Davis Ren-Cang Li University of Texas at Arlington

Numerical Linear Algebra mathscidoc:1703.26004

SIAM Journal on Matrix Analysis and Applications, 33, (4), 1075-1100, 2012.1
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[62] Alternating-Directional Doubling Algorithm for M-Matrix Algebraic Riccati Equations

Wei-guo Wang Ocean University of China Wei-chao Wang University of Texas at Arlington Ren-Cang Li University of Texas at Arlington

Numerical Linear Algebra mathscidoc:1703.26003

SIAM Journal on Matrix Analysis and Applications, 33, (1), 170-194, 2012.1
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[63] Perturbation Analysis for Matrix Joint Block Diagonalization

Yunfeng Cai Peking University Ren-Cang Li University of Texas at Arlington

Numerical Linear Algebra mathscidoc:1703.26001

Linear Algebra and its Applications, 581, 163-197, 2019.3
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[64] A positivity preserving inverse iteration for finding the Perron pair of an irreducible nonnegative third order tensor

Ching-Sung Liu National University of Kaohsiung Chun-Hua Guo University of Regina Wen-Wei Lin National Chiao Tung University

Numerical Linear Algebra mathscidoc:1605.31001

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