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Regularized HSS iteration methods for saddle-point linear systems

文献类型：期刊论文

作者Bai, Zhong-Zhi1; Benzi, Michele2
刊名BIT NUMERICAL MATHEMATICS
出版日期2017-06-01
卷号57期号:2页码:287-311
关键词Saddle-point linear system Hermitian and skew-Hermitian splitting Iterative methods Inexact implementation Preconditioning Convergence
ISSN号0006-3835
DOI10.1007/s10543-016-0636-7
英文摘要We propose a class of regularized Hermitian and skew-Hermitian splitting methods for the solution of large, sparse linear systems in saddle-point form. These methods can be used as stationary iterative solvers or as preconditioners for Krylov subspace methods. We establish unconditional convergence of the stationary iterations and we examine the spectral properties of the corresponding preconditioned matrix. Inexact variants are also considered. Numerical results on saddle-point linear systems arising from the discretization of a Stokes problem and of a distributed control problem show that good performance can be achieved when using inexact variants of the proposed preconditioners.
资助项目National Natural Science Foundation for Creative Research Groups[11321061] ; National Natural Science Foundation, P.R. China[11671393] ; DOE (Office of Science)[ERKJ247]
WOS研究方向Computer Science ; Mathematics
语种英语
WOS记录号WOS:000401549700002
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/25338]  
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, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, POB 2719, Beijing 100190, Peoples R China
2.Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA
推荐引用方式
GB/T 7714		 Bai, Zhong-Zhi,Benzi, Michele. Regularized HSS iteration methods for saddle-point linear systems[J]. BIT NUMERICAL MATHEMATICS,2017,57(2):287-311.
APA Bai, Zhong-Zhi,&Benzi, Michele.(2017).Regularized HSS iteration methods for saddle-point linear systems.BIT NUMERICAL MATHEMATICS,57(2),287-311.
MLA Bai, Zhong-Zhi,et al."Regularized HSS iteration methods for saddle-point linear systems".BIT NUMERICAL MATHEMATICS 57.2(2017):287-311.

入库方式： OAI收割

来源：数学与系统科学研究院

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