The monotone convergence of the two-stage iterative method for solving large sparse systems of linear equations

被引：26

作者：

Bai, ZZ ^{[1
]}

Wang, DR ^{[1
]}

机构：

[1] SHANGHAI UNIV,DEPT MATH,SHANGHAI 201800,PEOPLES R CHINA

来源：

APPLIED MATHEMATICS LETTERS | 1997年 / 10卷 / 01期

关键词：

linear system of equations; two-stage iterative method; Monotone convergence; Monotone convergence rate;

D O I：

10.1016/S0893-9659(96)00121-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper sets up the monotone convergence theory for the two-stage iterative method proposed by Frommer and Szyld in [1], and investigates the influence of the splitting matrices and the inner iteration number sequence on the monotone convergence rate of this method.

引用

页码：113 / 117

页数：5

共 5 条

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FROMMER, A ;

SZYLD, DB .

NUMERISCHE MATHEMATIK, 1992, 63 (03) :345-356

[2] THE CONVERGENCE OF INEXACT TSCHEBYSCHEFF AND RICHARDSON ITERATIVE METHODS FOR SOLVING LINEAR-SYSTEMS [J].

GOLUB, GH ;

OVERTON, ML .

NUMERISCHE MATHEMATIK, 1988, 53 (05) :571-593

[3]

LANZKRON PJ, 1991, NUMER MATH, V58, P685

[4] CONVERGENCE OF 2-STAGE ITERATIVE PROCESSES FOR SOLVING LINEAR EQUATIONS [J].

NICHOLS, NK .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1973, 10 (03) :460-469

[5]

Wachspress E. L., 1966, ITERATIVE SOLUTION E

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