A class of globally convergent conjugate gradient methods

	A class of globally convergent conjugate gradient methods
	Dai, YH; Yuan, YX
	2003-03-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	46 期号:2 页码:251-261
摘要	Conjugate gradient methods are very important ones for solving nonlinear optimization problems, especially for large scale problems. However, unlike quasi-Newton methods, conjugate gradient methods were usually analyzed individually. In this paper, we propose a class of conjugate gradient methods, which can be regarded as some kind of convex combination of the Fletcher-Reeves method and the method proposed by Dai et al. To analyze this class of methods, we introduce some unified tools that concern a general method with the scalar beta(k) having the form of phi(k)/phi(k-1). Consequently, the class of conjugate gradient methods can uniformly be analyzed.
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:000181672500012
出版者	SCIENCE CHINA 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/18701
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,Yuan, YX. A class of globally convergent conjugate gradient methods[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2003,46(2):251-261.
APA	Dai, YH,&Yuan, YX.(2003).A class of globally convergent conjugate gradient methods.SCIENCE IN CHINA SERIES A-MATHEMATICS,46(2),251-261.
MLA	Dai, YH,et al."A class of globally convergent conjugate gradient methods".SCIENCE IN CHINA SERIES A-MATHEMATICS 46.2(2003):251-261.