带一类非精确搜索的非拟Newton非凸族的全局收敛性  

Global convergence of the preconvex part of Non-Quasi-Newton's family with a class of inexact linesearches

作　　者：陈兰平[1] 

机构地区：[1]首都师范大学数学系,北京100037

出　　处：《东北师大学报（自然科学版）》2000年第3期18-22,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：北京市教委科学基金资助项目

摘　　要：利用Byrd和Nocedal给出的Ψ函数 ,采用一种比Wolfe搜索更广泛的搜索技术 ,对凸函数证明了非拟Newton非凸族的全局收敛性 .In this paper, the behavior of the preconvex part of Non-Quasi-Newton's family is analyzed by using Ψ function which was proposed by Byrd and Nocedal. For convex objective functions, the global convergence of the preconvex part of Non-Quasi-Newton's family with a class of inexact line searches is proved.

关 键 词：全局收敛性 非拟牛非凸族 非精确搜索 Ψ函数 

分 类 号：O224[理学—运筹学与控制论] O242.23[理学—数学]