On parallel multisplitting iterative methods for singular linear systems

被引：4
|
作者：
Song, YZ [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 162卷 / 02期
关键词：
singular linear systems; multisplitting; parallel multisplitting iterative method; extrapolation; semiconvergence;
D O I：
10.1016/j.amc.2003.12.120
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the semiconvergence of parallel multisplitting iterative methods and extrapolated parallel methods for singular linear systems is discussed. Some sufficient conditions for semiconvergence are presented whenever the multisplittings are P-regular, sub-regular or nonnegative. As special cases the semiconvergence of parallel generalized AOR, block AOR, AOR, parallel generalized SOR, block SOR, SOR, extrapolated parallel (generalized, block) AOR and extrapolated parallel (generalized, block) SOR methods are proved. (C) 2004 Elsevier Inc. All rights reserved.
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页码：585 / 604
页数：20
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