A shift-splitting preconditioner for non-Hermitian positive definite matrices

	A shift-splitting preconditioner for non-Hermitian positive definite matrices
	Bai, Zhong-zhi ; Yin, Jun-feng ; Su, Yang-feng
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2006-07-01
卷号	24 期号:4 页码:539-552
关键词	non-Hermitian positive definite matrix matrix splitting preconditioning Krylov subspace method convergence
ISSN号	0254-9409
英文摘要	A shift splitting concept is introduced and, correspondingly, a shift-splitting iteration scheme and a shift-splitting preconditioner are presented, for solving the large sparse system of linear equations of which the coefficient matrix is an ill-conditioned non-Hermitian positive definite matrix. The convergence property of the shift-splitting iteration method and the eigenvalue distribution of the shift-splitting preconditioned matrix are discussed in depth, and the best possible choice of the shift is investigated in detail. Numerical computations show that the shift-splitting preconditioner can induce accurate, robust and effective preconditioned Krylov subspace iteration methods for solving the large sparse non-Hermitian positive definite systems of linear equations.
WOS研究方向	Mathematics
语种	英语
出版者	VSP BV
WOS记录号	WOS:000239402800008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/3617]
专题	中国科学院数学与系统科学研究院
通讯作者	Bai, Zhong-zhi
作者单位	1.Chinese Acad Sci, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-zhi,Yin, Jun-feng,Su, Yang-feng. A shift-splitting preconditioner for non-Hermitian positive definite matrices[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2006,24(4):539-552.
APA	Bai, Zhong-zhi,Yin, Jun-feng,&Su, Yang-feng.(2006).A shift-splitting preconditioner for non-Hermitian positive definite matrices.JOURNAL OF COMPUTATIONAL MATHEMATICS,24(4),539-552.
MLA	Bai, Zhong-zhi,et al."A shift-splitting preconditioner for non-Hermitian positive definite matrices".JOURNAL OF COMPUTATIONAL MATHEMATICS 24.4(2006):539-552.