10 July، 2025
master’s thesis by Student Ahmed Shihab Ahmed Al-Hamdani
Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:
“Improved conjugate gradient methods for removing noise in digital images“
It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Thursday, 2025/7/10.
master’s thesis by Student Ahmed Shihab Ahmed Al-Hamdani
under the supervision of Prof. Dr. Basim Abbas Hassan Abdulrahman
In this study, The coefficient conjugate enhances the effectiveness of conjugate gradient methods by accelerating the optimal solution, improving accuracy, reducing iterations and is a key tool for solving large and complex dimensional problems efficiently.
As a result of our study, some formulas for conjugate gradient based on conjugate condition and difference of derivatives were derived to generate high-accuracy conjugate gradient methods. Our work also focused on studying the global convergence properties and numerical performance of our proposed methods using Wolff conditions. Interesting numerical results were found by comparing our new methods with the well-known FR method for denoising digital images.
The thesis ends by discussing the new findings and giving some suggestions for their future application.
The scientific committee included the following members:
- Dr. Hamsa Tharwat Saeed – Chairman
- Prof. Dr. Mona Mohsen Mohamed Ali – Member.
- Prof. Dr. Hisham Mohammed Khader – Member.
- Dr. Basim Abbas Hassan Abdulrahman – Member and supervisor.
