8 August، 2024
Master’s thesis by student Ahmed Waleed Mohammed
Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:
“ Efficient Quasi-Newton Methods to Find Minimum Value for Unconstrained Optimization Problems“
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 Wednesday 31-7-2024
Master’s thesis by student Ahmed Waleed Mohammed, under the supervision of Prof. Dr. Basim A. Hasan.
Quasi-Newton methods stand out by selecting the appropriate equations akin to Quasi-Newton’s equations in numerical optimization.
Two distinct Quasi-Newton equations were derived to generate new high-precision Quasi-Newton methods for approximating Hessian (or its inverse). Theoretical results confirming the global convergence of the proposed new algorithms were also studied. Practical results for (27) different functions and various dimensions illustrate that the new line search along with the new direction of the proposed algorithm is more efficient in finding solutions for nonlinear and unconstrained functions compared to similar algorithms.
The thesis concludes with a discussion of the new findings and provides some suggestions for future applications.
The scientific committee included the following members:
- Dr. Ban A. Hasan – Chairman
2- Prof. Dr. Gada M. AlNaemi – Member.
3- Assoc. Prof. Dr. Idris M. Nouri – Member .
4- Prof. Dr. Basim A. Hasan – Member and supervisor .
