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On SSOR-like preconditioners for non-Hermitian positive definite matrices
Bai, Zhong-Zhi
2016
Source PublicationNUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN1070-5325
Volume23Issue:1Pages:37-60
AbstractWe construct, analyze, and implement SSOR-like preconditioners for non-Hermitian positive definite system of linear equations when its coefficient matrix possesses either a dominant Hermitian part or a dominant skew-Hermitian part. We derive tight bounds for eigenvalues of the preconditioned matrices and obtain convergence rates of the corresponding SSOR-like iteration methods as well as the corresponding preconditioned GMRES iteration methods. Numerical implementations show that Krylov subspace iteration methods such as GMRES, when accelerated by the SSOR-like preconditioners, are efficient solvers for these classes of non-Hermitian positive definite linear systems. Copyright (C) 2015 John Wiley & Sons, Ltd.
Keywordnon-Hermitian matrix positive definiteness preconditioning SSOR iteration eigenvalue distribution
Language英语
Funding ProjectHundred Talent Project of Chinese Academy of Sciences ; National Basic Research Program[2011CB309703] ; National Natural Science Foundation[91118001] ; National Natural Science Foundation for Creative Research Groups[11321061] ; Defense Industrial Technology Development Program[B1520133016]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000369855600002
PublisherWILEY-BLACKWELL
Citation statistics
Cited Times:14[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22039
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, POB 2719, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Bai, Zhong-Zhi. On SSOR-like preconditioners for non-Hermitian positive definite matrices[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2016,23(1):37-60.
APA Bai, Zhong-Zhi.(2016).On SSOR-like preconditioners for non-Hermitian positive definite matrices.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,23(1),37-60.
MLA Bai, Zhong-Zhi."On SSOR-like preconditioners for non-Hermitian positive definite matrices".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 23.1(2016):37-60.
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