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A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations
Bai, ZZ
1998-10-01
Source PublicationLINEAR ALGEBRA AND ITS APPLICATIONS
ISSN0024-3795
Volume282Issue:1-3Pages:1-24
AbstractA class of parallel decomposition-type accelerated over-relaxation methods, including four arbitrary parameters and suitable to the SIMD-systems, is established for solving the large sparse systems of linear equations in this paper, and sufficient conditions ensuring its convergence are deduced when the coefficient matrices of the linear systems of equations are respectively L-matrices, H-matrices and positive definite matrices. In particular, we investigate in detail the symmetric versions of these new methods, and deduce a series of conveniently applicable conditions for determining the convergence of these versions when the coefficient matrices of the linear systems of equations are symmetric positive definite matrices. (C) 1998 Elsevier Science Inc. All rights reserved.
Keywordsystem of linear equations synchronous parallel iteration relaxation technique convergence theory
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000076304500001
PublisherELSEVIER SCIENCE INC
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14010
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad 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. A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,1998,282(1-3):1-24.
APA Bai, ZZ.(1998).A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations.LINEAR ALGEBRA AND ITS APPLICATIONS,282(1-3),1-24.
MLA Bai, ZZ."A class of parallel decomposition-type relaxation methods for large sparse systems of linear equations".LINEAR ALGEBRA AND ITS APPLICATIONS 282.1-3(1998):1-24.
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