Error bounds for approximate deflating subspaces for linear response eigenvalue problems

DOI10.1016/j.laa.2016.08.023zbMath1398.15016OpenAlexW2509299940MaRDI QIDQ1789399

Lei-Hong Zhang, Ren-Cang Li, Wei-Guo Wang

Publication date: 10 October 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.08.023

zbMATH Keywords

perturbationrandom phase approximationlinear response eigenvalue problem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (2)

A block Lanczos method for the linear response eigenvalue problem ⋮ Rayleigh-Ritz majorization error bounds for the linear response eigenvalue problem

Cites Work

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• Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods
• Convergence of the block Lanczos method for eigenvalue clusters
• A block Chebyshev-Davidson method for linear response eigenvalue problems
• Perturbation of partitioned linear response eigenvalue problems
• Convergence analysis of Lanczos-type methods for the linear response eigenvalue problem
• Minimization Principles for the Linear Response Eigenvalue Problem II: Computation
• Rayleigh--Ritz Approximation For the Linear Response Eigenvalue Problem
• Vibrational states of nuclei in the random phase approximation
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• Minimization Principles for the Linear Response Eigenvalue Problem I: Theory
• Error Bounds for Approximate Invariant Subspaces of Closed Linear Operators
• On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$

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