Two New Extended PR Conjugate Gradient Methods for Solving Nonlinear Minimization Problems

In this paper, we have discussed and investigated two nonlinear extended PR-CG method which use function and gradient values. The two new methods involve the standard CG-methods and have the sufficient descent and globally convergence properties under certain conditions. We have got some important numerical results by comparing the new method with Wu and Chen PRCG-(2010) method in this field.