Convergence of AOR method

被引：7

作者：

Gao, Zhong-Xi ^{[1
]}

Huang, Ting-Zhu ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 176卷 / 01期

关键词：

AOR method; doubly diagonal dominance; extrapolation principle;

D O I：

10.1016/j.amc.2005.09.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some practical sufficient conditions for convergence of AOR method for solving Ax = b with A is a doubly diagonally dominant matrix are presented, and results in [L.J. Cvekovic, D. Herceg, Convergence theory for AOR method, J. Comput. Math. 8 (2) (1990) 128-134] are improved. The results obtained are also generalized to H-matrices. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：134 / 140

页数：7

共 5 条

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[2] Cvekovic L.J., 1990, J COMPUT MATH, V8, P128
[3] HADJIDIMOS A, 1978, MATH COMPUT, V32, P149, DOI 10.1090/S0025-5718-1978-0483340-6
[4] THE PRINCIPLE OF EXTRAPOLATION IN CONNECTION WITH THE ACCELERATED OVER-RELAXATION METHOD
HADJIDIMOS, A
YEYIOS, A
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1980, 30 (APR) : 115 - 128
[5] Li BS, 1997, LINEAR ALGEBRA APPL, V261, P221

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