Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems

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	Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems
	Bai ZZ; Benzi M; Chen F(陈芳); Wang ZQ; Bai, ZZ (reprint author), Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China.
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
	2013-01
卷号	33 期号:1 页码:343-369
ISSN	0272-4979
摘要	We construct a preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS) iteration scheme for solving and preconditioning a class of block two-by-two linear systems arising from the Galerkin finite element discretizations of a class of distributed control problems. The convergence theory of this class of PMHSS iteration methods is established and the spectral properties of the PMHSS-preconditioned matrix are analysed. Numerical experiments show that the PMHSS preconditioners can be quite competitive when used to precondition Krylov subspace iteration methods such as GMRES.
关键词	Block Two-by-two Matrices Pmhss Iteration Preconditioning Spectral Properties Pde-constrained Optimization Kkt Systems
学科领域	一般力学
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000314894500014
项目资助者	National Natural Science Foundation for Innovative Research Groups [11021101]; Chinese Academy of Sciences; National Basic Research Program, People's Republic of China [2011CB309703]
课题组名称	LMFS水环境流体力学(LEM)
论文分区	一类
引用统计	被引频次：178[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/47110
专题	流固耦合系统力学重点实验室
通讯作者	Bai, ZZ (reprint author), Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China.
推荐引用方式 GB/T 7714	Bai ZZ,Benzi M,Chen F,et al. Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2013,33,1,:343-369.
APA	Bai ZZ,Benzi M,Chen F,Wang ZQ,&Bai, ZZ .(2013).Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems.IMA JOURNAL OF NUMERICAL ANALYSIS,33(1),343-369.
MLA	Bai ZZ,et al."Preconditioned MHSS iteration methods for a class of block two-by-two linear systems with applications to distributed control problems".IMA JOURNAL OF NUMERICAL ANALYSIS 33.1(2013):343-369.

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