A three-parameter family of nonlinear conjugate gradient methods

	A three-parameter family of nonlinear conjugate gradient methods
	Dai, YH; Yuan, Y
	2001
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	70 期号:235 页码:1155-1167
摘要	In this paper, we propose a three-parameter family of conjugate gradient methods for unconstrained optimization. The three-parameter family of methods not only includes the already existing six practical nonlinear conjugate gradient methods, but subsumes some other families of nonlinear conjugate gradient methods as its subfamilies. With Powell's restart criterion, the three-parameter family of methods with the strong Wolfe line search is shown to ensure the descent property of each search direction. Some general convergence results are also established for the three-parameter family of methods. This paper can also be regarded as a brief review on nonlinear conjugate gradient methods.
关键词	unconstrained optimization conjugate gradient methods line search global convergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000168520600012
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16124
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, Y. A three-parameter family of nonlinear conjugate gradient methods[J]. MATHEMATICS OF COMPUTATION,2001,70(235):1155-1167.
APA	Dai, YH,&Yuan, Y.(2001).A three-parameter family of nonlinear conjugate gradient methods.MATHEMATICS OF COMPUTATION,70(235),1155-1167.
MLA	Dai, YH,et al."A three-parameter family of nonlinear conjugate gradient methods".MATHEMATICS OF COMPUTATION 70.235(2001):1155-1167.