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

文献类型：期刊论文

作者Bai, Zhong-Zhi1,2; Benzi, Michele3; Chen, Fang4,5
刊名COMPUTING
出版日期2010-05-01
卷号87期号:3-4页码:93-111
关键词Complex symmetric matrix Hermitian and skew-Hermitian splitting Iteration method Krylov subspace method Convergence analysis Preconditioning
ISSN号0010-485X
DOI10.1007/s00607-010-0077-0
英文摘要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.
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
语种英语
WOS记录号WOS:000276869900002
出版者SPRINGER WIEN
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10419]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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