Four–term conjugate gradient (cg)‎ method based on pure conjugacy condition for unconstrained optimization

الملخص EN

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.