KMS Of Academy of mathematics and systems sciences, CAS
| Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts | |
Bai, Zhong-Zhi
| |
| 2018-08-01 | |
| Source Publication | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
 |
| ISSN | 1070-5325 |
| Volume | 25Issue:4Pages:19 |
| Abstract | For large sparse non-Hermitian positive definite linear systems, we establish exact and inexact quasi-HSS iteration methods and discuss their convergence properties. Numerical experiments show that both iteration methods are effective and robust when they are used either as linear solvers or as matrix splitting preconditioners for the Krylov subspace iteration methods. In addition, these two iteration methods are, respectively, much more powerful than the exact and inexact HSS iteration methods, especially when the linear systems have nearly singular Hermitian parts or strongly dominant skew-Hermitian parts, and they can be employed to solve non-Hermitian indefinite linear systems with only mild indefiniteness. |
| Keyword | convergence Hermitian and skew-Hermitian splitting iteration method preconditioning system of linear equations |
| DOI | 10.1002/nla.2116 |
| Language | 英语 |
| Funding Project | National Basic Research Program[2011CB309703] ; National Natural Science Foundation[11671393] ; National Natural Science Foundation[91118001] ; National Natural Science Foundation for Creative Research Groups[11321061] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000437744400001 |
| Publisher | WILEY |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/33421 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Bai, Zhong-Zhi |
| Affiliation | 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 |
| Recommended Citation GB/T 7714 | Bai, Zhong-Zhi. Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2018,25(4):19. |
| APA | Bai, Zhong-Zhi.(2018).Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,25(4),19. |
| MLA | Bai, Zhong-Zhi."Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 25.4(2018):19. |
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