A new super-memory gradient method with curve search rule

doi:10.1016/j.amc.2004.10.063

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	A new super-memory gradient method with curve search rule
	Shi, ZJ ; Shen, J
	2005-11-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	170 期号:1 页码:1-16
摘要	In this paper, we propose a new super-memory gradient method with curve search rule for unconstrained optimization problems. The method uses previous multi-step iterative information and some curve search rules to generate new iterative points at each iteration. This makes the new method converge stably and be more suitable for solving large scale optimization problems than other similar methods. We analyze the global convergence and convergence rate under some mild conditions. Numerical experiments show that some new algorithms are available and effective in practical computation. (c) 2004 Elsevier Inc. All rights reserved.
关键词	unconstrained optimization super-memory method curve search rule convergence
DOI	10.1016/j.amc.2004.10.063
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000232968200001
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2019
专题	中国科学院数学与系统科学研究院
通讯作者	Shi, ZJ
作者单位	1.Qufu Normal Univ, Coll Operat Res & Management, Shandong 276826, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 3.Univ Michigan, Dept Comp & Informat Sci, Dearborn, MI 48128 USA
推荐引用方式 GB/T 7714	Shi, ZJ,Shen, J. A new super-memory gradient method with curve search rule[J]. APPLIED MATHEMATICS AND COMPUTATION,2005,170(1):1-16.
APA	Shi, ZJ,&Shen, J.(2005).A new super-memory gradient method with curve search rule.APPLIED MATHEMATICS AND COMPUTATION,170(1),1-16.
MLA	Shi, ZJ,et al."A new super-memory gradient method with curve search rule".APPLIED MATHEMATICS AND COMPUTATION 170.1(2005):1-16.