KMS Of Academy of mathematics and systems sciences, CAS
| On spectral clustering of HSS preconditioner for generalized saddle-point matrices | |
Bai, Zhong-Zhi
| |
| 2018-10-15 | |
| Source Publication | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| ISSN | 0024-3795 |
| Volume | 555Pages:285-300 |
| Abstract | For the nonsingular generalized saddle-point matrix of a Hermitian positive definite or semidefinite leading block, we rigorously analyze clustering property for the eigenvalues of the corresponding preconditioned matrix with respect to the Hermitian and skew-Hermitian splitting preconditioner. The result shows that these eigenvalues are clustered around 0(+), 2(-), and a few points located on the unit circle centered at 1, as the iteration parameter is close to 0. (C) 2018 Elsevier Inc. All rights reserved. |
| Keyword | Generalized saddle-point problem Hermitian and skew-Hermitian splitting Preconditioning Spectral property |
| DOI | 10.1016/j.laa.2018.06.022 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation, PR China[11671393] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000442065900017 |
| Publisher | ELSEVIER SCIENCE INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/31126 |
| 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. On spectral clustering of HSS preconditioner for generalized saddle-point matrices[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2018,555:285-300. |
| APA | Bai, Zhong-Zhi.(2018).On spectral clustering of HSS preconditioner for generalized saddle-point matrices.LINEAR ALGEBRA AND ITS APPLICATIONS,555,285-300. |
| MLA | Bai, Zhong-Zhi."On spectral clustering of HSS preconditioner for generalized saddle-point matrices".LINEAR ALGEBRA AND ITS APPLICATIONS 555(2018):285-300. |
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