Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems

DOI10.1137/20M136606XzbMath1492.65142arXiv2009.09022OpenAlexW4214931394MaRDI QIDQ5862811

Ren-Cang Li, Zhaojun Bai, Ding Lu

Publication date: 10 March 2022

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.09022

zbMATH Keywords

nonlinear eigenvalue problemconvergence factorself-consistent field iterationlevel-shifted SCF

Mathematics Subject Classification ID

Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (4)

Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration ⋮ Trace ratio optimization with an application to multi-view learning ⋮ Interpolating self consistent field for eigenvector nonlinearities ⋮ Maximizing sum of coupled traces with applications

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