A Modified Conjugate Gradient Method using multi-step in Unconstrained Optimization

In this paper we proposed a new HS type conjugate gradient method by using two kind of modification, first derived a new non-quadratic model second using structure of the memoryless BFGS quasi-Newton method. The new proposed method always generates a descent condition. We give a sufficient condition for the global converges of the proposed general method. Finally, some numerical results are also reported.