On HSS-based constraint preconditioners for generalized saddle-point problems

doi:10.1007/s11075-010-9428-3

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	On HSS-based constraint preconditioners for generalized saddle-point problems
	Zhang, Guo-Feng 1; Ren, Zhi-Ru 2; Zhou, Yuan-Yuan 1
	2011-06-01
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
卷号	57 期号:2 页码:273-287
摘要	For the generalized saddle-point problems with non-Hermitian (1,1) blocks, we present an HSS-based constraint preconditioner, in which the (1,1) block of the preconditioner is constructed by the HSS method for solving the non-Hermitian positive definite linear systems. We analyze the invertibility of the HSS-based constraint preconditioner and prove the convergence of the preconditioned iteration method. Numerical experiments are used to demonstrate the efficiency of the preconditioner as well as the corresponding preconditioned iteration method, especially when the (1,1) block of the saddle-point matrix is essentially non-Hermitian.
关键词	Saddle-point problem Iterative method Preconditioning method Non-Hermitian indefinite linear system HSS-based preconditioner
DOI	10.1007/s11075-010-9428-3
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000290335300008
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/13023
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Guo-Feng
作者单位	1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Guo-Feng,Ren, Zhi-Ru,Zhou, Yuan-Yuan. On HSS-based constraint preconditioners for generalized saddle-point problems[J]. NUMERICAL ALGORITHMS,2011,57(2):273-287.
APA	Zhang, Guo-Feng,Ren, Zhi-Ru,&Zhou, Yuan-Yuan.(2011).On HSS-based constraint preconditioners for generalized saddle-point problems.NUMERICAL ALGORITHMS,57(2),273-287.
MLA	Zhang, Guo-Feng,et al."On HSS-based constraint preconditioners for generalized saddle-point problems".NUMERICAL ALGORITHMS 57.2(2011):273-287.