Modified HSS iteration methods for a class of complex symmetric linear systems

doi:10.1007/s00607-010-0077-0

	Modified HSS iteration methods for a class of complex symmetric linear systems
	Bai, Zhong-Zhi1,2 ; Benzi, Michele 3; Chen, Fang 4,5
	2010-05-01
发表期刊	COMPUTING
ISSN	0010-485X
卷号	87 期号:3-4 页码:93-111
摘要	In this paper, we introduce and analyze a modification of the Hermitian and skew-Hermitian splitting iteration method for solving a broad class of complex symmetric linear systems. We show that the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method is unconditionally convergent. Each iteration of this method requires the solution of two linear systems with real symmetric positive definite coefficient matrices. These two systems can be solved inexactly. We consider acceleration of the MHSS iteration by Krylov subspace methods. Numerical experiments on a few model problems are used to illustrate the performance of the new method.
关键词	Complex symmetric matrix Hermitian and skew-Hermitian splitting Iteration method Krylov subspace method Convergence analysis Preconditioning
DOI	10.1007/s00607-010-0077-0
语种	英语
资助项目	National Basic Research Program[2005CB321702] ; National Outstanding Young Scientist Foundation, P. R. China[10525102] ; US National Science Foundation[DMS-0511336] ; US National Science Foundation[DMS-0810862]
WOS研究方向	Computer Science
WOS类目	Computer Science, Theory & Methods
WOS记录号	WOS:000276869900002
出版者	SPRINGER WIEN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10420
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, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China 3.Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA 4.Xi An Jiao Tong Univ, Dept Math Sci, Xian 710049, Peoples R China 5.Xian Univ Post & Telecommun, Dept Math & Phys, Xian 710121, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi,Benzi, Michele,Chen, Fang. Modified HSS iteration methods for a class of complex symmetric linear systems[J]. COMPUTING,2010,87(3-4):93-111.
APA	Bai, Zhong-Zhi,Benzi, Michele,&Chen, Fang.(2010).Modified HSS iteration methods for a class of complex symmetric linear systems.COMPUTING,87(3-4),93-111.
MLA	Bai, Zhong-Zhi,et al."Modified HSS iteration methods for a class of complex symmetric linear systems".COMPUTING 87.3-4(2010):93-111.