Show off the efficiency of dai-liao method in merging technology for monotonous non-linear problems

<span>In this article, we give a new modification for the Dai-Liao method to solve monotonous nonlinear problems. In our modification, relied on two important procedures, one of them was projection and second damping quasi-Newton condition. The approach derivation yields parameters conjugated gradient direction which, through some conditions, have demonstrated sufficient descent property them. Under necessary achieved global convergence property. Numerical results show how efficient is when compared with basic similar classic methods.</span>