A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem
type: Item
instance of: scholarly article
title: A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem
zbMATH Open document ID: 1179.65039
author: Zhen Wang
author: Zhongxiao Jia
published in: Science in China. Series A
publication date: 2009-12-07T00:00:00Z
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 5643364
zbMATH Keywords: eigenvalue
zbMATH Keywords: eigenvector
zbMATH Keywords: inexact Rayleigh quotient iteration
zbMATH Keywords: smallest eigenpair
zbMATH Keywords: large Hermitian matrix
zbMATH Keywords: uniform positiveness condition
zbMATH Keywords: convergence
zbMATH Keywords: misconvergence
zbMATH Keywords: Jacobi-Davidson method
describes a project that uses: JDQZ
describes a project that uses: Harwell-Boeing sparse matrix collection
describes a project that uses: JDCG
MaRDI profile type: Publication
full work available at URL: s11425-008-0050-y
OpenAlex ID: W2030344570
cites work: Q4348515
cites work: Inexact Inverse Iteration with Variable Shift for Nonsymmetric Generalized Eigenvalue Problems
cites work: Two-sided and alternating Jacobi-Davidson
cites work: Convergence Analysis of Inexact Rayleigh Quotient Iteration
cites work: Inexact Rayleigh quotient-type methods for eigenvalue computations
cites work: The effects of inexact solvers in algorithms for symmetric eigenvalue problems
cites work: The convergence of Jacobi–Davidson iterations for Hermitian eigenproblems
cites work: The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
cites work: A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
cites work: Q4414854
cites work: Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem
DOI: 10.1007/S11425-008-0050-Y
Recommended article: On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems
Recommended article: On the convergence of a new Rayleigh quotient method with applications to large eigenproblems
Recommended article: The convergence of Jacobi–Davidson iterations for Hermitian eigenproblems
Recommended article: A convergence analysis of the inexact simplified Jacobi-Davidson algorithm for polynomial eigenvalue problems
Recommended article: Convergence analysis of the Jacobi-Davidson method applied to a generalized eigenproblem
Recommended article: On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems
Recommended article: A new justification of the Jacobi-Davidson method for large eigenproblems
Recommended article: On the Speed of Convergence of Cyclic and Quasicyclic Jacobi Methods for Computing Eigenvalues of Hermitian Matrices
Recommended article: Preconditioned inexact Jacobi-Davidson method for large symmetric eigenvalue problems
Recommended article: Inexact Rayleigh quotient-type methods for eigenvalue computations
description: scientific article; zbMATH DE number 5643364