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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