文章基本信息

标题：A Look at the Tool of BYRD and NOCEDAL
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作者：Linghua Huang ; Guoyin Li ; Gonglin Yuan 等
期刊名称：American Journal of Computational Mathematics
印刷版ISSN：2161-1203
电子版ISSN：2161-1211
出版年度：2011
卷号：1
期号：4
页码：240-246
DOI：10.4236/ajcm.2011.14028
出版社：Scientific Research Publishing
摘要：A power tool for the analysis of quasi-Newton methods has been proposed by Byrd and Nocedal ([1], 1989). The purpose of this paper is to make a study to the basic property (BP) given in [1]. As a result of the BP, a sufficient condition of global convergence for a class of quasi-Newton methods for solving unconstrained minimization problems without convexity assumption is given. A modified BFGS formula is designed to match the requirements of the sufficient condition. The numerical results show that the proposed method is very encouraging.
关键词：Quasi-Newton Method; Unconstrained Minimization; Nonconvex Problem; Global Convergence