On SSOR-like preconditioners for non-Hermitian positive definite matrices

	On SSOR-like preconditioners for non-Hermitian positive definite matrices
	Bai, Zhong-Zhi
	2016
发表期刊	NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN	1070-5325
卷号	23 期号:1 页码:37-60
摘要	We construct, analyze, and implement SSOR-like preconditioners for non-Hermitian positive definite system of linear equations when its coefficient matrix possesses either a dominant Hermitian part or a dominant skew-Hermitian part. We derive tight bounds for eigenvalues of the preconditioned matrices and obtain convergence rates of the corresponding SSOR-like iteration methods as well as the corresponding preconditioned GMRES iteration methods. Numerical implementations show that Krylov subspace iteration methods such as GMRES, when accelerated by the SSOR-like preconditioners, are efficient solvers for these classes of non-Hermitian positive definite linear systems. Copyright (C) 2015 John Wiley & Sons, Ltd.
关键词	non-Hermitian matrix positive definiteness preconditioning SSOR iteration eigenvalue distribution
语种	英语
资助项目	Hundred Talent Project of Chinese Academy of Sciences ; National Basic Research Program[2011CB309703] ; National Natural Science Foundation[91118001] ; National Natural Science Foundation for Creative Research Groups[11321061] ; Defense Industrial Technology Development Program[B1520133016]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000369855600002
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22039
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 SSOR-like preconditioners for non-Hermitian positive definite matrices[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2016,23(1):37-60.
APA	Bai, Zhong-Zhi.(2016).On SSOR-like preconditioners for non-Hermitian positive definite matrices.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,23(1),37-60.
MLA	Bai, Zhong-Zhi."On SSOR-like preconditioners for non-Hermitian positive definite matrices".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 23.1(2016):37-60.