A Shift-Splitting Preconditioner For Non-Hermitian Positive Definite Matrices

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	A Shift-Splitting Preconditioner For Non-Hermitian Positive Definite Matrices
	Zhongzhi Bai 1; Junfeng Yin 1; Yangfeng Su 2
	2006-01-01
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	24 期号:4 页码:539
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3618
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.复旦大学
推荐引用方式 GB/T 7714	Zhongzhi Bai,Junfeng Yin,Yangfeng Su. A Shift-Splitting Preconditioner For Non-Hermitian Positive Definite Matrices[J]. Journal of Computational Mathematics,2006,24(4):539.
APA	Zhongzhi Bai,Junfeng Yin,&Yangfeng Su.(2006).A Shift-Splitting Preconditioner For Non-Hermitian Positive Definite Matrices.Journal of Computational Mathematics,24(4),539.
MLA	Zhongzhi Bai,et al."A Shift-Splitting Preconditioner For Non-Hermitian Positive Definite Matrices".Journal of Computational Mathematics 24.4(2006):539.