Left conjugate gradient method for non-Hermitian linear systems

doi:10.1002/nla.600

	Left conjugate gradient method for non-Hermitian linear systems
	Wang, Li-Ping 2; Dai, Yu-Hong1
	2008-12-01
发表期刊	NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN	1070-5325
卷号	15 期号:10 页码:891-909
摘要	Recently, Yuan et al. (BIT: Numer, Math. 2004; 44(1):189-207) proposed the left conjugate gradient (LCG) method for real positive-definite linear systems. This paper aims to generalize their method for solving complex non-Hermitian linear systems. to avoid the breakdown that possibly occurred in the LCG method, we also propose the block left conjugate direction method and the block LCG (BLCG) method. It is found that no breakdown occurs in the BLCG method and the block idea also applies to the real nonsymmetric case. Numerical experiments demonstrate the usefulness of the proposed LCG method. Copyright (C) John Wiley & Sons, Ltd.
关键词	left conjugate direction method left conjugate gradient method non-Hermitian linear system breakdown block left conjugate gradient method
DOI	10.1002/nla.600
语种	英语
资助项目	Chinese NSF[10171104] ; Chinese NSF[40233029]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000261918100002
出版者	JOHN WILEY & SONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5880
专题	计算数学与科学工程计算研究所
通讯作者	Dai, Yu-Hong
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.Nanjing Univ Aeronaut & Astronaut, Coll Sci, Dept Math, Nanjing 210016, Peoples R China
推荐引用方式 GB/T 7714	Wang, Li-Ping,Dai, Yu-Hong. Left conjugate gradient method for non-Hermitian linear systems[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2008,15(10):891-909.
APA	Wang, Li-Ping,&Dai, Yu-Hong.(2008).Left conjugate gradient method for non-Hermitian linear systems.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,15(10),891-909.
MLA	Wang, Li-Ping,et al."Left conjugate gradient method for non-Hermitian linear systems".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 15.10(2008):891-909.