Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems

doi:10.1016/j.cam.2008.10.033

	Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems
	Krukier, Lev A.2; Martynova, Tatiana S.2; Bai, Zhong-Zhi1
	2009-10-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	232 期号:1 页码:3-16
摘要	By further generalizing the modified skew-Hermitian triangular splitting iteration methods studied in [L. Wang, Z.-Z. Bai, Skew-Hermitian triangular splitting iteration methods for non-Hermitian positive definite linear systems of strong skew-Hermitian parts, BIT Numer. Math. 44 (2004) 363-386], in this paper, we present a new iteration scheme, called the product-type 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 method. Moreover, when it is applied to precondition the Krylov subspace methods, the preconditioning property of the product-type skew-Hermitian triangular splitting iteration is analyzed in detail. Numerical results show that the product-type skew-Hermitian triangular splitting iteration method can produce high-quality preconditioners for the Krylov subspace methods for solving large sparse positive definite systems of linear equations of strong skew-Hermitian parts. (C) 2008 Elsevier B.V. All rights reserved.
关键词	Hermitian and skew-Hermitian splitting Product-type skew-Hermitian triangular splitting Splitting iteration method Krylov subspace method Convergence theory
DOI	10.1016/j.cam.2008.10.033
语种	英语
资助项目	RFBR, Russia[06-01-00038-a] ; RFBR, Russia[06-01-39002-GFEN-a] ; Special Funds For Major State Basic Research Projects[G1999032803] ; National Basic Research Program[2005CB321702] ; National Outstanding Young Scientist Foundation[10525102] ; National Natural Science Foundation[10471146]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000269424700002
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7805
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.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.So Fed Univ, S Russian Reg Ctr Informatizat, Rostov Na Donu 344090, Russia
推荐引用方式 GB/T 7714	Krukier, Lev A.,Martynova, Tatiana S.,Bai, Zhong-Zhi. Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,232(1):3-16.
APA	Krukier, Lev A.,Martynova, Tatiana S.,&Bai, Zhong-Zhi.(2009).Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,232(1),3-16.
MLA	Krukier, Lev A.,et al."Product-type skew-Hermitian triangular splitting iteration methods for strongly non-Hermitian positive definite linear systems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 232.1(2009):3-16.