Restrictively preconditioned conjugate gradient methods for systems of linear equations

	Restrictively preconditioned conjugate gradient methods for systems of linear equations
	Bai, ZZ; Li, GQ
	2003-10-01
发表期刊	IMA JOURNAL OF NUMERICAL ANALYSIS
ISSN	0272-4979
卷号	23 期号:4 页码:561-580
摘要	A restrictively preconditioned conjugate gradient method is presented for solving a large sparse system of linear equations. This new method originates from the classical conjugate gradient method and its restrictively preconditioned variant, and covers many standard Krylov subspace iteration methods such as the conjugate gradient, conjugate residual, CGNR, CGNE and the corresponding preconditioned variants. In particular, the new method is applied to solve the linear systems of block two-by-two structures, and consequently, special but quite efficient preconditioned conjugate gradient-like methods are obtained for these problems. Numerical computations show that the new methods are more effective than some standard preconditioned Krylov subspace methods like the preconditioned conjugate gradient and the preconditioned MINRES.
关键词	nonsymmetric linear system conjugate gradient method Krylov subspace iteration preconditioning
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000186180800002
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18635
专题	计算数学与科学工程计算研究所
通讯作者	Bai, ZZ
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Bai, ZZ,Li, GQ. Restrictively preconditioned conjugate gradient methods for systems of linear equations[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2003,23(4):561-580.
APA	Bai, ZZ,&Li, GQ.(2003).Restrictively preconditioned conjugate gradient methods for systems of linear equations.IMA JOURNAL OF NUMERICAL ANALYSIS,23(4),561-580.
MLA	Bai, ZZ,et al."Restrictively preconditioned conjugate gradient methods for systems of linear equations".IMA JOURNAL OF NUMERICAL ANALYSIS 23.4(2003):561-580.