Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi
|
| 刊名 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
 |
| 出版日期 | 2018-08-01 |
| 卷号 | 25期号:4页码:19 |
| 关键词 | convergence Hermitian and skew-Hermitian splitting iteration method preconditioning system of linear equations |
| ISSN号 | 1070-5325 |
| DOI | 10.1002/nla.2116 |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000437744400001 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/33421]  |
| 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. 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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