On the convergence of iterative methods for solving singular linear systems
type: Item
instance of: scholarly article
title: On the convergence of iterative methods for solving singular linear systems
zbMATH Open document ID: 1005.65031
DOI: 10.1016/S0377-0427(01)00531-3
author: Zhi-Hao Cao
published in: Journal of Computational and Applied Mathematics
publication date: 2002-08-22T00:00:00Z
review text: The author first shows that for stationary iterative methods for solving consistent singular linear systems the convergence and the quotient convergence are equivalent, and then analyses the convergence of the multisplitting algorithm for solving linear systems with singular coefficient matrices when the matrix is Hermitian positive semidefinite.
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1787670
zbMATH Keywords: stationary iterative methods
zbMATH Keywords: singular linear systems
zbMATH Keywords: convergence
zbMATH Keywords: multisplitting algorithm
reviewed by: F. Szidarovszky
MaRDI profile type: Publication
cites work: Q4061081
cites work: Q3943082
cites work: OnM-multisplittings of singularM-matrices with application to Markov chains
cites work: Models of parallel chaotic iteration methods
cites work: Symmetric multisplitting of a symmetric positive definite matrix
cites work: Convergence of non-stationary parallel multisplitting methods for hermitian positive definite matrices
cites work: Convergence of relaxed parallel multisplitting methods
cites work: Consistency and Convergence of the Parallel Multisplitting Method for Singular M-Matrices
cites work: On the Solution of Singular and Semidefinite Linear Systems by Iteration
cites work: Convergence of nested classical iterative methods for linear systems
cites work: A note on comparison theorems for splittings and multisplittings of Hermitian positive definite matrices
cites work: Convergent nonnegative matrices and iterative methods for consistent linear systems
cites work: Convergence of parallel multisplitting iterative methods for M-matrices
cites work: Multi-Splittings of Matrices and Parallel Solution of Linear Systems
cites work: Q5661059
cites work: Convergent Regular Splittings for Singular M-Matrices
cites work: Theorems on M-splittings of a singular M-Matrix which depend on graph structure
cites work: Multisplitting with Different Weighting Schemes
cites work: Multisplitting of a Symmetric Positive Definite Matrix
full work available at URL: s0377-0427(01)00531-3
OpenAlex ID: W1993765750
description: scientific article; zbMATH DE number 1787670