21 July، 2025
Master’s degree by Student Ayman Walid Jasim Mohamed
Discussion of Master’s degree in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:
“ New conjugate gradient methods to find the minimum for unconstrained optimization problems with application “
It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Munday , 21 -7-2025.
Master’s degree by Student Ayman Walid Jasim Mohamed
under the supervision of Prof. Dr. Abdulrahman Prof. Dr. Basim Abbas Hassan/ Asst.Prof. Hisham Mohammed Khader Hamza
The conjugate factor in conjugate gradient methods is the main focus, as it plays a crucial role in speeding up the convergence process to the optimal solution by reducing the number of iterations required.
The motivation for deriving new conjugate gradient coefficients is based on the difference of derivatives and the conjugate condition to improve the convergence and accuracy of the methods. An attractive feature of the proposed methods is that the new research direction achieves the gradient property, and the convergence property of the proposed methods is proven using Wolff conditions specifically, showing superior computational efficiency of the new conjugate gradient methods compared with the FR. method. This introduction not only improves the computational efficiency on unconstrained optimization problems, but also improves the accuracy and quality of image reconstruction.
The conclusion of the thesis discusses the new findings and provides some recommendations on how to apply them in the future.
The scientific committee included the following members:
- Dr. Khalil Khader Abu – Chairman
- Prof. Dr. Suhaib Abdul-Jabbar Abdul – baki – Member.
- Prof. Dr. Idris Mohamed Nouri – Member.
- Dr. Basim Abbas Hassan Abdul-rahman – Member and supervisor.
- Prof. Hisham Mohammed Khader Hamza – Member and supervisor.
