New conjugacy conditions and related nonlinear conjugate gradient methods

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	New conjugacy conditions and related nonlinear conjugate gradient methods
	Dai, YH ; Liao, LZ
	2001
发表期刊	APPLIED MATHEMATICS AND OPTIMIZATION
ISSN	0095-4616
卷号	43 期号:1 页码:87-101
摘要	Conjugate gradient methods are a class of important methods for unconstrained optimization, especially when the dimension is large. This paper proposes a new conjugacy condition, which considers an inexact line search scheme but reduces to the old one if the line search is exact. Based on the new conjugacy condition, two nonlinear conjugate gradient methods are constructed. Convergence analysis for the two methods is provided. Our numerical results show that one of the methods is very efficient for the given test problems.
关键词	unconstrained optimization conjugate gradient line search global convergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000166125000005
出版者	SPRINGER-VERLAG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16837
专题	中国科学院数学与系统科学研究院
通讯作者	Dai, YH
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.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Dai, YH,Liao, LZ. New conjugacy conditions and related nonlinear conjugate gradient methods[J]. APPLIED MATHEMATICS AND OPTIMIZATION,2001,43(1):87-101.
APA	Dai, YH,&Liao, LZ.(2001).New conjugacy conditions and related nonlinear conjugate gradient methods.APPLIED MATHEMATICS AND OPTIMIZATION,43(1),87-101.
MLA	Dai, YH,et al."New conjugacy conditions and related nonlinear conjugate gradient methods".APPLIED MATHEMATICS AND OPTIMIZATION 43.1(2001):87-101.