Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices

doi:10.1137/050623644

	Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices
	Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
	2006
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	28 期号:2 页码:583-603
摘要	The optimal parameter of the Hermitian/skew-Hermitian splitting (HSS) iteration method for a real two-by-two linear system is obtained. The result is used to determine the optimal parameters for linear systems associated with certain two-by-two block matrices and to estimate the optimal parameters of the HSS iteration method for linear systems with n-by-n real coefficient matrices. Numerical examples are given to illustrate the results.
关键词	non-Hermitian matrix Hermitian matrix skew-Hermitian matrix splitting iteration method optimal iteration parameter
DOI	10.1137/050623644
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000238325500010
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3579
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, State Key Lab Sci Engn Comp, Inst Comp Math & Sci Engn Comp, Acad Math & Syst Sci, 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. Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2006,28(2):583-603.
APA	Bai, Zhong-Zhi,Golub, Gene H.,&Li, Chi-Kwong.(2006).Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices.SIAM JOURNAL ON SCIENTIFIC COMPUTING,28(2),583-603.
MLA	Bai, Zhong-Zhi,et al."Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices".SIAM JOURNAL ON SCIENTIFIC COMPUTING 28.2(2006):583-603.