Numerical Linear Algebra

[26] 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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[27] 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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[28] 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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[29] 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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[30] 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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[31] 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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[32] 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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[33] 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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[34] 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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[35] 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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[36] 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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[37] 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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[38] 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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[39] 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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[40] 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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[41] 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 Analysis and Scientific Computing Numerical Linear Algebra mathscidoc:2105.26002

SIAM Review, 62, (2), 463-482, 2020.6
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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] 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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[44] 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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[45] 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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[46] 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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[47] A Scalable Algorithm for Large-scale Unsupervised Multi-view Partial Least Squares

Li Wang University of Texas at Arlington Ren-Cang Li University of Texas at Arlington

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control Machine Learning mathscidoc:2105.41009

IEEE Transactions on Big Data, 8, (4), 1073-1083, 2022.7
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[48] 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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[49] 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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[50] 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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