A modified quadratic hybridization of Polak-Ribi`re-Polyak and Fletcher-Reeves conjugate gradient method for unconstrained optimization problems

Abstract

This article presents a modified quadratic hybridization of the Polak–Ribi`ere– Polyak and Fletcher–Reeves conjugate gradient method for solving unconstrained optimization problems. Global convergence, with the strong Wolfe line search conditions, of the proposed quadratic hybrid conjugate gradient method is established. The new method is tested on a number of benchmark problems that have been extensively used in the literature and numerical results show the competitiveness of the new hybrid method.