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	Restrictively preconditioned conjugate gradient methods for systems of linear equations
	Bai, ZZ; Li, GQ
刊名	IMA JOURNAL OF NUMERICAL ANALYSIS
	2003-10-01
卷号	23期号:4页码:561-580
关键词	nonsymmetric linear system conjugate gradient method Krylov subspace iteration preconditioning
ISSN号	0272-4979
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000186180800002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/18634]
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.

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