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On the convergence of parallel nonstationary multisplitting iteration methods
Bai, ZZ
2003-10-01
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume159Issue:1Pages:1-11
AbstractThe 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.
Keywordsystem of linear equations matrix multisplitting nonstationary iteration convergence
DOI10.1016/S0377-0427(03)00555-7
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000186544700002
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18095
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
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.
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