Investigated Non-Conic Model for Constrained Optimization

In this search, we develop the nonlinear constrained optimization by investigation a new region of solution depending on extended conic model to non-conic model by using conjugate gradient method. The new method is too effective when compared with other established algorithms to solve standard constrained optimization problems it performance from evaluations were the number of function (NOF),number of iteration (NOI) and the number of constrained (NOC).