A New Conjugate Gradient Method for Finding the Minimum of Non Linear Functions

This paper presents the development and implementation of a new numerical algorithm for solving nonlinear optimization problems. The algorithm is implemented inexact line searches. Powell restarting restart criterion is applied to all the above versions and give dramatic saving in computational efficiency. The results obtained both theoretically and experimentally indicate that in general the new algorithm is superior an standard algorithms using seven nonlinear test-functions with (20) differs dimensions.