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On the convergence of s-dependent GFR conjugate gradient method for unconstrained optimization
Authors:Wenling Zhao  Changyu Wang  Yajing Gu
Affiliation:1.School of Science,Shandong University of Technology,Zibo,People’s Republic of China;2.Institute of Operations Research,Qufu Normal University,Qufu,People’s Republic of China
Abstract:In this paper, the authors present an s-dependent conjugate gradient method for unconstrained optimization problem and make two different kinds of estimations of upper bounds of β k with respect to (beta_{k}^{mathrm{FR}}) which are called dependent ratio. The global convergence of s-dependent GFR conjugate gradient method using several step-size rules is obtained.
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