Convergence theorems for block splitting iterative methods for linear systerns

被引：7

作者：

Wen, Rui-Ping ^{[1
]}

Wang, Chuan-Long ^{[1
]}

Meng, Guo-Yan ^{[1
]}

机构：

[1] Taiyuan Teachers Coll, Dept Math, Taiyuan 030012, Shanxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 202卷 / 02期

关键词：

block splitting; symmetric positive definite matrix; convergence; general weighting matrices;

D O I：

10.1016/j.cam.2006.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will present the block splitting iterative methods with general weighting matrices for solving linear systems of algebraic equations Ax = b when the coefficient matrix A is symmetric positive definite of block form, and establish the convergence theories with respect to the general weighting matrices but special splittings. Finally, a numerical example shows the advantage of this method. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：540 / 547

页数：8

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