The convergence of the modified Gauss-Seidel methods for consistent linear systems

被引：14

作者：

Li, W ^{[1
]}

机构：

[1] S China Normal Univ, Dept Math, Guangzhou 510631, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 154卷 / 01期

关键词：

modified Gauss-Seidel methods; consistent linear system; convergence;

D O I：

10.1016/S0377-0427(02)00812-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a convergence analysis for the modified Gauss-Seidel methods given in Gunawardena et al. (Linear Algebra Appl. 154-156 (1991) 125) and Kohno et al. (Linear Algebra Appl. 267 (1997) 113) for consistent linear systems. We prove that the modified Gauss-Seidel method converges for some values of the parameters in the preconditioned matrix. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：97 / 105

页数：9

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