On spectral clustering of HSS preconditioner for generalized saddle-point matrices

doi:10.1016/j.laa.2018.06.022

	On spectral clustering of HSS preconditioner for generalized saddle-point matrices
	Bai, Zhong-Zhi
	2018-10-15
发表期刊	LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN	0024-3795
卷号	555 页码:285-300
摘要	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.
关键词	Generalized saddle-point problem Hermitian and skew-Hermitian splitting Preconditioning Spectral property
DOI	10.1016/j.laa.2018.06.022
语种	英语
资助项目	National Natural Science Foundation, PR China[11671393]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000442065900017
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31126
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 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.