Global convergence property ofs-dependent GFR conjugate gradient method |
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| Authors: | Changyu Wang Yuzhong Zhang |
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| Institution: | 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 |
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| Abstract: | 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. |
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| Keywords: | steplength linear search global convergence conjugate gradient |
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