New Three –Term CG-Method for Unconstrained Optimization

In this paper, we proposed a new three-term nonlinear Conjugate Gradient (CG) method for solving unconstrained optimization problems. The new three-term method generates decent direction with an inexact line search under Wolfe conditions and the descent property of the new method is proved. Numerical results on some well-known test function with various dimensions showed that the new method is an efficient .