A New hybrid generalized CG- method for non-linear functions

In this paper a new extended generalized conjugate gradient algorithm is proposed for unconstrained optimization, which is considered as anew inverse hyperbolic model .In order to improve the rate of convergence of the new technique, a new hybrid technique between the standard F/R CG-method and Sloboda CG-method using quadratic and non-quadratic models is proposed by using exact and inexact line searches. This method is more efficient and robust when applied on number of well-known nonlinear test function.