Numerical Linear Algebra

[1] Sharp Estimation Of Convergence Rate For Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems

Zhaojun Bai University of California, Davis Ren-Cang Li The University of Texas at Arlington Ding Lu University of Kentucky

Numerical Analysis and Scientific Computing Numerical Linear Algebra mathscidoc:2309.25001

SIAM Journal on Matrix Analysis and Applications, 43, (1), 301-327, 2022.1
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[2] On Nonlinear Matrix Equations from the First Standard Form

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

Numerical Analysis and Scientific Computing Numerical Linear Algebra mathscidoc:2309.26002

Annals of Mathematical Sciences and Applications, 7, (2), 169-191, 2022.6
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[3] On Generalizing Trace Minimization Principles

Xin Liang Tsinghua University Li Wang The University of Texas at Arlington Lei-Hong Zhang Soochow University Ren-Cang Li The University of Texas at Arlington

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control mathscidoc:2309.26001

Linear Algebra and Its Applications, 656, 483-509, 2023.1
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[4] Maximizing Sum of Coupled Traces with Applications

Li Wang The University of Texas at Arlington Lei-Hong Zhang Soochow University Ren-Cang Li The University of Texas at Arlington

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control Machine Learning mathscidoc:2309.41003

Numerische Mathematik, 152, 587-629, 2022.9
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[5] Trace ratio optimization with an application to multi-view learning

Li Wang The University of Texas at Arlington Lei-Hong Zhang Soochow University Ren-Cang Li The University of Texas at Arlington

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control Machine Learning mathscidoc:2309.41002

Mathematical Programming, 201, 97-131, 2023.1
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[6] Multi-view Orthonormalized Partial Least Squares: Regularizations and Deep Extensions

Li Wang The University of Texas at Arlington Ren-Cang Li The University of Texas at Arlington Wen-Wei Lin National Chiao Tung University

Numerical Analysis and Scientific Computing Numerical Linear Algebra Optimization and Control Machine Learning mathscidoc:2309.41001

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 34, (8), 4371-4385, 2023.8
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[7] 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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[8] 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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[9] 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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[10] 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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