The convergence of the modified Gauss--Seidel methods for consistent linear systems
type: Item
instance of: scholarly article
title: The convergence of the modified Gauss--Seidel methods for consistent linear systems
zbMATH Open document ID: 1022.65034
DOI: 10.1016/S0377-0427(02)00812-9
author: Wen Li
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-22T00:00:00Z
review text: \textit{A. D. Gunawardena, S. K. Jain} and \textit{L. Snyder} [Linear Algebra Appl. 154-156, 123-143 (1991; Zbl 0731.65016)] modified the Gauss-Seidel iteration and multiplied the given system first by a matrix whose entries are derived from the matrix elements \(a_{i, i+1}\). The convergence of the iteration and a generalization are proven for \(M\)-matrices.
reviewed by: D. Braess
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1915266
zbMATH Keywords: modified Gauss-Seidel methods
zbMATH Keywords: convergence
zbMATH Keywords: \(M\)-matrices
MaRDI profile type: Publication
cites work: Q4326384
cites work: Modified iterative methods for consistent linear systems
cites work: Improving the modified Gauss-Seidel method for \(Z\)-matrices
cites work: On regular splittings and graph compatible splittings of an \(M\)-matrix
cites work: Modified Gauss-Seidel type methods and Jacobi type methods for Z-matrices
cites work: Theorems on M-splittings of a singular M-Matrix which depend on graph structure
description: scientific article; zbMATH DE number 1915266