On SSOR-like preconditioners for non-Hermitian positive definite matrices
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi
|
| 刊名 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000369855600002 |
| 出版者 | WILEY-BLACKWELL |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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