Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts

	Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts
	Wang, L ; Bai, ZZ
	2004-05-01
发表期刊	BIT NUMERICAL MATHEMATICS
ISSN	0006-3835
卷号	44 期号:2 页码:363-386
摘要	By further generalizing the skew-symmetric triangular splitting iteration method studied by Krukier, Chikina and Belokon (Applied Numerical Mathematics, 41 ( 2002), pp. 89-105), in this paper, we present a new iteration scheme, called the modified skew-Hermitian triangular splitting iteration method, for solving the strongly non-Hermitian systems of linear equations with positive definite coefficient matrices. We discuss the convergence property and the optimal parameters of this new method in depth. Moreover, when it is applied to precondition the Krylov subspace methods like GMRES, the preconditioning property of the modified skew-Hermitian triangular splitting iteration is analyzed in detail. Numerical results show that, as both solver and preconditioner, the modified skew-Hermitian triangular splitting iteration method is very effective for solving large sparse positive definite systems of linear equations of strong skew-Hermitian parts.
关键词	Hermitian and skew-Hermitian splitting triangular splitting splitting iteration method Krylov subspace method convergence theory
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000223515500011
出版者	KLUWER ACADEMIC PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19649
专题	计算数学与科学工程计算研究所
通讯作者	Wang, L
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China 2.Nantong Inst Technol, Nantong 226007, Jiangsu Provinc, Peoples R China
推荐引用方式 GB/T 7714	Wang, L,Bai, ZZ. Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts[J]. BIT NUMERICAL MATHEMATICS,2004,44(2):363-386.
APA	Wang, L,&Bai, ZZ.(2004).Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts.BIT NUMERICAL MATHEMATICS,44(2),363-386.
MLA	Wang, L,et al."Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts".BIT NUMERICAL MATHEMATICS 44.2(2004):363-386.