Four–Term Conjugate Gradient (CG) Method Based on Pure Conjugacy Condition for Unconstrained Optimization

Abstract

A four-term CG-method based on pure conjugacy condition are proposed, Research activities on extending three-term CG-method to the four-term conjugate gradient method. The new method shown that the suggested CG-methods owns the sufficient descent property. The global convergence of the proposed scheme with the general Wolfe conditions under a suitable assumption was verified. Finally, the computational experiment show that the new method is efficient and robust.