Keywords : A new conjugate gradient method

The Extended CG Method for Non-Quadratic Models

Abbas Y. Al-Bayati; Basim A. Hassan; Sawsan S. Ismael

AL-Rafidain Journal of Computer Sciences and Mathematics, 2011, Volume 8, Issue 1, Pages 13-30
DOI: 10.33899/csmj.2011.163604

This paper investigates an interleaved algorithm which combines between the extended conjugate gradient with the hybrid method of Touati-Storey. This combined algorithm is based on the exact line search to solve a number of non-linear test functions with different dimensions. Experimental results indicate that the modified  algorithm is more efficient than the original Sloboda algorithm.

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

Abbas Y. Al-Bayati; Basim A. Hassan

AL-Rafidain Journal of Computer Sciences and Mathematics, 2010, Volume 7, Issue 1, Pages 25-34
DOI: 10.33899/csmj.2010.163844

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.