A Rational Exponential Model for Unconstrained Non-Linear Optimization

Abstract

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