On SSOR-like preconditioners for non-Hermitian positive definite matrices | |
Bai, Zhong-Zhi | |
刊名 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
2016 | |
卷号 | 23期号:1页码:37-60 |
关键词 | non-Hermitian matrix positive definiteness preconditioning SSOR iteration eigenvalue distribution |
ISSN号 | 1070-5325 |
英文摘要 | We 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. |
语种 | 英语 |
出版者 | WILEY-BLACKWELL |
WOS记录号 | WOS:000369855600002 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22038] |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Bai, Zhong-Zhi |
作者单位 | Chinese 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 |
推荐引用方式 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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