On the convergence of additive and multiplicative splitting iterations for systems of linear equations

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	On the convergence of additive and multiplicative splitting iterations for systems of linear equations
	Bai, ZZ
	2003-05-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	154 期号:1 页码:195-214
摘要	We study convergence conditions for the additive and the multiplicative splitting iteration methods, i.e., two generalizations of the additive and the multiplicative Schwarz iterations, for Hermitian and non-Hermitian systems of linear equations, under an algebraic setting. Theoretical analyses show that when the coefficient and the splitting matrices are Hermitian, or non-Hermitian but diagonalizable, satisfying mild conditions, both additive and multiplicative splitting iteration methods are convergent, even if the coefficient matrix is indefinite. (C) 2003 Elsevier Science B.V. All rights reserved.
关键词	splitting iteration additive/multiplicative Schwarz methods Hermitian matrix commutative matrix diagonalizable matrix convergence property
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000182460600012
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/18248
专题	中国科学院数学与系统科学研究院
通讯作者	Bai, ZZ
作者单位	Chinese Acad Sci, Acad Math & Syst Sic, 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 additive and multiplicative splitting iterations for systems of linear equations[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2003,154(1):195-214.
APA	Bai, ZZ.(2003).On the convergence of additive and multiplicative splitting iterations for systems of linear equations.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,154(1),195-214.
MLA	Bai, ZZ."On the convergence of additive and multiplicative splitting iterations for systems of linear equations".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 154.1(2003):195-214.