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On spectral clustering of HSS preconditioner for generalized saddle-point matrices
Bai, Zhong-Zhi
2018-10-15
Source PublicationLINEAR ALGEBRA AND ITS APPLICATIONS
ISSN0024-3795
Volume555Pages:285-300
AbstractFor 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.
KeywordGeneralized saddle-point problem Hermitian and skew-Hermitian splitting Preconditioning Spectral property
DOI10.1016/j.laa.2018.06.022
Language英语
Funding ProjectNational Natural Science Foundation, PR China[11671393]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000442065900017
PublisherELSEVIER SCIENCE INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31126
Collection计算数学与科学工程计算研究所
AffiliationChinese 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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