New A hybrid conjugate gradient Fletcher-Reeves and Polak-Ribiere algorithm for unconstrained optimization

Abstract

In this Research we developed a New Hybrid method of conjugate gradient type, this Method depends basically on combining Fletcher-Reeves and Polak-Ribiere algorithms by using spectral direction conjugate algorithm, which is developed by Yang Z & Kairong W [19]. The developed method becomes converged by assuming some hypothesis. The numerical results show the efficiency of the developed method for solving test Unconstrained Nonlinear Optimization problems.