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On preconditioned MHSS iteration methods for complex symmetric linear systems

文献类型：期刊论文

作者Bai, Zhong-Zhi1,2; Benzi, Michele3; Chen, Fang4
刊名NUMERICAL ALGORITHMS
出版日期2011-02-01
卷号56期号:2页码:297-317
关键词Complex symmetric linear system MHSS iteration Preconditioning Convergence theory Spectral properties
ISSN号1017-1398
DOI10.1007/s11075-010-9441-6
英文摘要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.
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
语种英语
WOS记录号WOS:000286206000006
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11988]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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