Global convergence property of s-dependent GFR conjugate gradient method  

作　　者：WANG Changyu 1,2 and ZHANG Yuzhong\+1 1. Institute of Operations Research in Qufu Normal University, Qufu 273165, China 2. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China 

出　　处：《Chinese Science Bulletin》1998年第23期1959-1965,共7页

摘　　要：An \%S\%_dependent GFR method and a generalized conjugate gradient method are designed. Two estimated values of upper bounds for the ratio of β k to β FR k are given. The two convergence theorems are proved. The global convergent properties of \%s\%_dependent GFR method are obtained adopting several choice strategies of steplength and some results in recent literature are extended.AnS-dependent GFR method and a generalized conjugate gradient method are designed. Two estimated values of upper bounds for the ratio of βk to βkFRare given. The two convergence theorems are proved. The global convergent properties ofs-dependent GFR method are obtained adopting several choice strategies of steplength and some results in recent literature are extended.

关 键 词：steplength linear SEARCH global CONVERGENCE CONJUGATE gradient. 

分 类 号：O229[理学—运筹学与控制论]