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; 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	NUMERICAL ALGORITHMS
	2013-04
卷号	62 期号:4 页码:655-675
ISSN	1017-1398
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.
关键词	Block Two-by-two Matrices Pmhss Iteration Block Diagonal Matrix Preconditioning Spectral Properties Pde-constrained Optimization
学科领域	一般力学
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000316569000008
项目资助者	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]
课题组名称	LMFS水环境流体力学(LEM)
论文分区	二类/Q2
引用统计	被引频次：51[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/311007/47190
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,Chen F,Wang ZQ,et al. 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,&Bai, ZZ .(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.

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