non-quadratic model, conjugate gradient methods, numerical experimentsn, Mathematics, QA1-939, Electronic computers. Computer science, QA75.5-76.95

A new non-quadratic model is proposed for solving unconstrained optimization problems, which modifies and develops the classical conjugate gradient methods. The technique has the same properties as the classical conjugate gradient method that can be applied to a quadratic function. An algorithm is derived and evaluated numerically for some standard test functions .The results indicate that, in general, the new algorithm is an improvement on the previous methods so it remains to be investigated.