On preconditioned MHSS iteration methods for complex symmetric linear systems

doi:10.1007/s11075-010-9441-6

	On preconditioned MHSS iteration methods for complex symmetric linear systems
	Bai, Zhong-Zhi1,2 ; Benzi, Michele 3; Chen, Fang 4
	2011-02-01
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
卷号	56 期号:2 页码:297-317
摘要	We propose a preconditioned variant of the modified HSS (MHSS) iteration method for solving a class of complex symmetric systems of linear equations. Under suitable conditions, we prove the convergence of the preconditioned MHSS (PMHSS) iteration method and discuss the spectral properties of the PMHSS-preconditioned matrix. Numerical implementations show that the resulting PMHSS preconditioner leads to fast convergence when it is used to precondition Krylov subspace iteration methods such as GMRES and its restarted variants. In particular, both the stationary PMHSS iteration and PMHSS-preconditioned GMRES show meshsize-independent and parameter-insensitive convergence behavior for the tested numerical examples.
关键词	Complex symmetric linear system MHSS iteration Preconditioning Convergence theory Spectral properties
DOI	10.1007/s11075-010-9441-6
语种	英语
资助项目	National Natural Science Foundation for Innovative Research Groups[11021101] ; Chinese Academy of Sciences ; National Basic Research Program, P.R. China[2011CB309703] ; US National Science Foundation[DMS-0810862]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000286206000006
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11989
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	1.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci Engn Comp, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA 4.Xian Univ Post & Telecommun, Sch Sci, Xian 710121, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi,Benzi, Michele,Chen, Fang. On preconditioned MHSS iteration methods for complex symmetric linear systems[J]. NUMERICAL ALGORITHMS,2011,56(2):297-317.
APA	Bai, Zhong-Zhi,Benzi, Michele,&Chen, Fang.(2011).On preconditioned MHSS iteration methods for complex symmetric linear systems.NUMERICAL ALGORITHMS,56(2),297-317.
MLA	Bai, Zhong-Zhi,et al."On preconditioned MHSS iteration methods for complex symmetric linear systems".NUMERICAL ALGORITHMS 56.2(2011):297-317.