A note on the nonlinear conjugate gradient method

	A note on the nonlinear conjugate gradient method
	Dai, YH; Yuan, YX
	2002-11-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	20 期号:6 页码:575-582
摘要	The conjugate gradient method for unconstrained optimization problems varies with a scalar. In this note, a general condition concerning the scalar is given, which ensures the global convergence of the method in the case of strong Wolfe line searches. It is also discussed how to use the result to obtain the convergence of the famous Fletcher-Reeves, and Polak-Ribiere-Polyak conjugate gradient methods. That the condition cannot be relaxed in some sense is mentioned.
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 ; Mathematics
WOS记录号	WOS:000179620000002
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17870
专题	计算数学与科学工程计算研究所
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comput, State Key Lab Sci & Engn Comput, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Dai, YH,Yuan, YX. A note on the nonlinear conjugate gradient method[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2002,20(6):575-582.
APA	Dai, YH,&Yuan, YX.(2002).A note on the nonlinear conjugate gradient method.JOURNAL OF COMPUTATIONAL MATHEMATICS,20(6),575-582.
MLA	Dai, YH,et al."A note on the nonlinear conjugate gradient method".JOURNAL OF COMPUTATIONAL MATHEMATICS 20.6(2002):575-582.