New properties of a nonlinear conjugate gradient method

	New properties of a nonlinear conjugate gradient method
	Dai, YH
	2001-07-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	89 期号:1 页码:83-98
摘要	This paper provides several new properties of the nonlinear conjugate gradient method in [5]. Firstly, the method is proved to have a certain self-adjusting property that is independent of the line search and the function convexity. Secondly, under mild assumptions on the objective function, the method is shown to be globally convergent with a variety of line searches. Thirdly, we find that instead of the negative gradient direction, the search direction defined by the nonlinear conjugate gradient method in [5] can be used to restart any optimization method while guaranteeing the global convergence of the method. Some numerical results are also presented.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000170335100004
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/16687
专题	计算数学与科学工程计算研究所
通讯作者	Dai, YH
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	Dai, YH. New properties of a nonlinear conjugate gradient method[J]. NUMERISCHE MATHEMATIK,2001,89(1):83-98.
APA	Dai, YH.(2001).New properties of a nonlinear conjugate gradient method.NUMERISCHE MATHEMATIK,89(1),83-98.
MLA	Dai, YH."New properties of a nonlinear conjugate gradient method".NUMERISCHE MATHEMATIK 89.1(2001):83-98.