Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts

doi:10.1002/nla.2116

	Quasi-HSS iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
	Bai, Zhong-Zhi
	2018-08-01
发表期刊	NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN	1070-5325
卷号	25 期号:4 页码:19
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.
关键词	convergence Hermitian and skew-Hermitian splitting iteration method preconditioning system of linear equations
DOI	10.1002/nla.2116
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000437744400001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	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.