On preconditioned iteration methods for complex linear systems

doi:10.1007/s10665-013-9670-5

	On preconditioned iteration methods for complex linear systems
	Bai, Zhong-Zhi
	2015-08-01
发表期刊	JOURNAL OF ENGINEERING MATHEMATICS
ISSN	0022-0833
卷号	93 期号:1 页码:41-60
摘要	A complex system of linear equations arises in many important applications. We further explore algebraic and convergence properties and present analytical and numerical comparisons among several available iteration methods such as C-to-R and PMHSS for solving such a class of linear systems. Theoretical analyses and computational results show that reformulating a complex linear system into an equivalent real form is a feasible and effective approach, for which we can construct, analyze, and implement accurate, efficient, and robust preconditioned iteration methods.
关键词	Complex symmetric linear system Convergence theory PMHSS iteration Preconditioning Real reformulation Spectral properties
DOI	10.1007/s10665-013-9670-5
语种	英语
资助项目	Chinese Academy of Sciences ; National Basic Research Program[2011CB309703] ; National Natural Science Foundation[91118001] ; National Natural Science Foundation for Creative Research Groups, P. R. China[11021101] ; National Natural Science Foundation for Creative Research Groups, P. R. China[11321061]
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000360084200004
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20673
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	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Bai, Zhong-Zhi. On preconditioned iteration methods for complex linear systems[J]. JOURNAL OF ENGINEERING MATHEMATICS,2015,93(1):41-60.
APA	Bai, Zhong-Zhi.(2015).On preconditioned iteration methods for complex linear systems.JOURNAL OF ENGINEERING MATHEMATICS,93(1),41-60.
MLA	Bai, Zhong-Zhi."On preconditioned iteration methods for complex linear systems".JOURNAL OF ENGINEERING MATHEMATICS 93.1(2015):41-60.