ON THE GLOBAL CONVERGENCE OF CONJUGATE GRADIENT METHODS WITH INEXACT LINESEARCH  

作　　者：刘光辉 韩继业 

机构地区：[1]Institute of Applied Mathematics,Academia sinica,Beijing 100080,PRC [2]Institute of Applied Mathematics,Academia sinica,Beijing 100080,PRC,

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》1995年第2期147-153,共7页

基　　金：This work is supported by the National Natural Science Foundation of China

摘　　要：In this paper we consider the global convergence of any conjugate gradient method of the form d1=-g1,dk+1=-gk+1+βkdk(k≥1)with any βk satisfying sume conditions,and with the strong wolfe line search conditions.Under the convex assumption on the objective function,we preve the descenf property and the global convergence of this method.In this paper we consider the global convergence of any conjugate gradient method of the form d1=-g1,dk+1=-gk+1+βkdk(k≥1)with any βk satisfying sume conditions,and with the strong wolfe line search conditions.Under the convex assumption on the objective function,we preve the descenf property and the global convergence of this method.

关 键 词：CONJUGATE GRADIENT method STRONG Wolfe line SEARCH global convergence. 

分 类 号：O151[理学—数学]