Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices

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	Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices
	Bai ZZ; Chen F(陈芳); Wang ZQ
刊名	NUMERICAL ALGORITHMS
	2013-04
通讯作者邮箱	bzz@lsec.cc.ac.cn; chenfreesky@gmail.com; wangzengqi@sjtu.edu.cn
卷号	62 期号:4 页码:655-675
关键词	Block two-by-two matrices PMHSS iteration Block diagonal matrix Preconditioning Spectral properties PDE-constrained optimization
ISSN号	1017-1398
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.
产权排序	[Bai, Zhong-Zhi] Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China; [Bai, Zhong-Zhi] Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100190, Peoples R China; [Chen, Fang] Chinese Acad Sci, Inst Mech, Key Lab Environm Mech, Beijing 100190, Peoples R China; [Wang, Zeng-Qi] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
合作状况	国内
中文摘要	For a class of block two-by-two systems of linear equations with certain skew-Hamiltonian coefficient matrices, we construct additive block diagonal preconditioning matrices and discuss the eigen-properties of the corresponding preconditioned matrices. The additive block diagonal preconditioners can be employed to accelerate the convergence rates of Krylov subspace iteration methods such as MINRES and GMRES. Numerical experiments show that MINRES preconditioned by the exact and the inexact additive block diagonal preconditioners are effective, robust and scalable solvers for the block two-by-two linear systems arising from the Galerkin finite-element discretizations of a class of distributed control problems.
学科主题	一般力学
分类号	二类/Q2
收录类别	SCI
资助信息	National Natural Science Foundation for Creative Research Groups [11021101]; Hundred Talent Project of Chinese Academy of Sciences; National Basic Research Program [2011CB309703]; National Natural Science Foundation, P.R. China [91118001, 1001175]
原文出处	http://dx.doi.org/10.1007/s11075-013-9696-9
语种	英语
WOS记录号	WOS:000316569000008
公开日期	2013-05-03
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/47190]
专题	力学研究所_流固耦合系统力学重点实验室(2012-)
推荐引用方式 GB/T 7714	Bai ZZ,Chen F,Wang ZQ. Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices[J]. NUMERICAL ALGORITHMS,2013,62(4):655-675.
APA	Bai ZZ,Chen F,&Wang ZQ.(2013).Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices.NUMERICAL ALGORITHMS,62(4),655-675.
MLA	Bai ZZ,et al."Additive block diagonal preconditioning for block two-by-two linear systems of skew-Hamiltonian coefficient matrices".NUMERICAL ALGORITHMS 62.4(2013):655-675.