COMBINED NON-QUADRATIC MODELS AS A BASIS FOR CG-A LGORITHMS

In this paper,a new extended (CG) algorithms is proposed. It is in fact, a particular type of the Conjugate Gradient (CG) method which employs non-quadratic rational model, and based on inexact line searches. The Flecther and Reeves restarting criterion was employed to the standard and New versions and gave dramatic savings in computational time. The new algorithms is were promising in general, seven non linear tests function with different versions were used.