On the convergence of parallel nonstationary multisplitting iteration methods

doi:10.1016/S0377-0427(03)00555-7

	On the convergence of parallel nonstationary multisplitting iteration methods
	Bai, ZZ
	2003-10-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	159 期号:1 页码:1-11
摘要	The convergence properties of a variant of the parallel chaotic multisplitting iteration method, called the nonstationary multisplitting iteration method, for solving large sparse systems of linear equations are further discussed when the coefficient matrix is an H-matrix or a positive definite matrix, respectively. Moreover, when the coefficient matrix is a monotone matrix, the monotone convergence theory and the monotone comparison theorem about this method are established. This directly leads to several novel sufficient conditions for guaranteeing the convergence of this parallel nonstationary multisplitting iteration method. (C) 2003 Elsevier B.V. All rights reserved.
关键词	system of linear equations matrix multisplitting nonstationary iteration convergence
DOI	10.1016/S0377-0427(03)00555-7
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000186544700002
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18095
专题	计算数学与科学工程计算研究所
通讯作者	Bai, ZZ
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bai, ZZ. On the convergence of parallel nonstationary multisplitting iteration methods[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2003,159(1):1-11.
APA	Bai, ZZ.(2003).On the convergence of parallel nonstationary multisplitting iteration methods.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,159(1),1-11.
MLA	Bai, ZZ."On the convergence of parallel nonstationary multisplitting iteration methods".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 159.1(2003):1-11.