Broyden非凸族的全局收敛性  

GLOBAL CONVERGENCE OF THE PRECONVEX PART OFBROYDENS FAMILY

作　　者：郭鹏江[1] 徐大川[2] 

机构地区：[1]西北大学数学系 [2]曲阜师范大学数学系

出　　处：《纯粹数学与应用数学》1998年第1期57-60,共4页Pure and Applied Mathematics

摘　　要：利用Ｂｙｒｄ等人给出的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Ｂｒｏｙｄｅｎ非凸族的全局收敛性．おhe behavior of the preconvex part of Broydens family is analyzed by using a Ψ function which was proposed by Byrd and Nocedal. For convex objective functions, the global convergence of the preconvex part of Broydens family with a class of inexact line searches is proved.

关 键 词：Broyden非凸族 全局收敛性 Ψ函数 无约束优化 

分 类 号：O224[理学—运筹学与控制论]