Keywords : global convergence


New Parameter of CG-Method for Unconstrained Optimization

Hamsa Th. Chilmeran; Satia A. Al-Taie; Enaam Gh. Saeed

AL-Rafidain Journal of Computer Sciences and Mathematics, 2019, Volume 13, Issue 1, Pages 22-31
DOI: 10.33899/csmj.2020.163500

In this paper, we derived a new parameter by equating the modified QN direction which is suggested by [7] and the standard CG method which satisfied the sufficient descent condition and the global convergence under some assumptions. The numerical experiment of the new algorithm perform better than  previous standard  algorithm depending on the number of calling the function (NOF) and number of iterations (NOI).
 

New Conjugacy Coefficient for Conjugate Gradient Method for Unconstrained Optimization

Hamsa TH. Chilmeran; Huda Y. Najm

AL-Rafidain Journal of Computer Sciences and Mathematics, 2013, Volume 10, Issue 2, Pages 33-46
DOI: 10.33899/csmj.2013.163473

In this paper, we derived a new conjugacy coefficient of conjugate gradient method which is based on non-linear function using inexact line searches. This method satisfied sufficient descent condition and the converges globally is provided. The numerical results indicate that the new approach yields very effective depending on number of iterations and number of functions evaluation .