On the use of simplex methods in constructing quadratic models

doi:10.1007/s11425-007-0054-z

CSpace

	On the use of simplex methods in constructing quadratic models
	Zhou, Qing-hua
	2007-07-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	50 期号:7 页码:913-924
摘要	In this paper, we investigate the quadratic approximation methods. After studying the basic idea of simplex methods, we construct several new search directions by combining the local information progressively obtained during the iterates of the algorithm to form new subspaces. And the quadratic model is solved in the new subspaces. The motivation is to use the information disclosed by the former steps to construct more promising directions. For most tested problems, the number of function evaluations have been reduced obviously through our algorithms.
关键词	unconstrained optimization trust region method quadratic model Lagrange function simplex methods direct methods
DOI	10.1007/s11425-007-0054-z
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000248202100001
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/4292
专题	中国科学院数学与系统科学研究院
通讯作者	Zhou, Qing-hua
作者单位	1.Hebei Univ, Coll Math & Comp, Baoding 071002, Peoples R China 2.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	Zhou, Qing-hua. On the use of simplex methods in constructing quadratic models[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2007,50(7):913-924.
APA	Zhou, Qing-hua.(2007).On the use of simplex methods in constructing quadratic models.SCIENCE IN CHINA SERIES A-MATHEMATICS,50(7),913-924.
MLA	Zhou, Qing-hua."On the use of simplex methods in constructing quadratic models".SCIENCE IN CHINA SERIES A-MATHEMATICS 50.7(2007):913-924.