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On the convergence of additive and multiplicative splitting iterations for systems of linear equations
Bai, ZZ
2003-05-01
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume154Issue:1Pages:195-214
AbstractWe 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.
Keywordsplitting iteration additive/multiplicative Schwarz methods Hermitian matrix commutative matrix diagonalizable matrix convergence property
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000182460600012
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:30[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18248
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Sic, 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 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.
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