Regularized HSS iteration methods for saddle-point linear systems

doi:10.1007/s10543-016-0636-7

	Regularized HSS iteration methods for saddle-point linear systems
	Bai, Zhong-Zhi1 ; Benzi, Michele 2
	2017-06-01
发表期刊	BIT NUMERICAL MATHEMATICS
ISSN	0006-3835
卷号	57 期号:2 页码:287-311
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.
关键词	Saddle-point linear system Hermitian and skew-Hermitian splitting Iterative methods Inexact implementation Preconditioning Convergence
DOI	10.1007/s10543-016-0636-7
语种	英语
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
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000401549700002
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/25339
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.