Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices
	Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
刊名	MATHEMATICS OF COMPUTATION
	2006
卷号	76 期号:257 页码:287-298
关键词	non-Hermitian matrix positive semidefinite matrix Hermitian and skew-Hermitian splitting splitting iteration method convergence
ISSN号	0025-5718
英文摘要	For the non-Hermitian and positive semidefinite systems of linear equations, we derive necessary and sufficient conditions for guaranteeing the unconditional convergence of the preconditioned Hermitian and skew-Hermitian splitting iteration methods. We then apply these results to block tridiagonal linear systems in order to obtain convergence conditions for the corresponding block variants of the preconditioned Hermitian and skew-Hermitian splitting iteration methods.
WOS研究方向	Mathematics
语种	英语
出版者	AMER MATHEMATICAL SOC
WOS记录号	WOS:000241791500014
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/2785]
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.Fudan Univ, Dept Math, Shanghai 200433, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China 3.Stanford Univ, Dept Comp Sci, Sci Comp & Computat Math Program, Stanford, CA 94305 USA 4.Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi,Golub, Gene H.,Li, Chi-Kwong. Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices[J]. MATHEMATICS OF COMPUTATION,2006,76(257):287-298.
APA	Bai, Zhong-Zhi,Golub, Gene H.,&Li, Chi-Kwong.(2006).Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices.MATHEMATICS OF COMPUTATION,76(257),287-298.
MLA	Bai, Zhong-Zhi,et al."Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices".MATHEMATICS OF COMPUTATION 76.257(2006):287-298.