College of Computer Science and Mathematics

Discussion of a Doctorial Dissertation  in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:

 ” An Improved Nonlinear Conjugate Gradient Algorithms  “

In continuation of the scientific research movement and with the follow-up and presence of the Dean of the College of Computer Science and Mathematics

Prof. Dr. Duha Bashir Abdullah The Esteemed

It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the  University of Mosul on Thursday  25-4-2024

Doctorial Dissertation by student  Saja Othman Mohammad Tawfiq

, under the supervision of  Prof. Dr. Eman Tarik Hamed

                  

The thesis dealt with the development and improvement of minimization problems in unconstrained optimization based on conjugate gradient methods, where a new acceleration factor was derived for optimization of step length using the direction of descent based on conjugate gradient HS methods, and a spectral parameter was derived for the conjugate spectral gradient formula to correct the search direction based on the FR formula. Also, the derivation of two new parameters for the conjugate gradient technique, where their derivation was based on the HS formula, the first for the CG method with two terms, and the second for the CG method with three terms, and all of these proposed methods we have proven that, under certain conditions, each formula theoretically fulfills the condition of global convergence, as for the practical side and when Applying these methods to a number of standard optimization functions, we obtained good numerical results compared to the basic conjugate gradient methods.

The scientific committee included the following members:

Prof. Dr. Abbas Younis AI-Bayati           Chairman

Prof. Dr. Ghada Moayid Rasheed            Member

Prof. Dr. Hamsa Tharwt Saeed                 Member

Assist. Prof. Dr.Maha Salah younes          Member

Assist. Prof. Dr. Mona Mohsen Muhammad Ali     Member

Prof. Dr. Eman Tarik Hamed     Member and Supervisor