Numerical Linear Algebra

[1] 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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[2] 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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[3] 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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[4] 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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[5] 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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[6] 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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[7] 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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[8] 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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[9] 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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[10] 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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