M.Sc. Dissertation by Student Waleed Abdulazeez Majeed Abdulla – College of Computer Science and Mathematics

"M.Sc. Dissertation by Student Waleed Abdulazeez Majeed Abdulla – College of Computer Science and Mathematics Skip to content E-Systems Academic Staff Alumni AR E-Systems Academic Staff Alumni AR College of Computer Science and Mathematics Search for: Toggle Navigation Home About Dean’s Massage Our College in Brief Vision, Mission, objectives College Board College Structure Previous Deans Departments Department of Computer Sciences Department of Cyber Security Department of AI Department of Mathematics Department of Software Sciences Department of networks Science Department of Statistics and Informatics Department of Operations Research and Intelligent Techniques Contact Us University of Mosul Search for: College of Computer Science and Mathematics 13 May، 2026 M.Sc. Dissertation by Student Waleed Abdulazeez Majeed Abdulla Discussion of M.Sc. Dissertation in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled: ” Novel Conjugate Gradient Methods Tailored For Solving Unconstrained Optimization Problems” It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Tuesday, 12 -5-2026. M.Sc. Dissertation by Student Waleed Abdulazeez Majeed Abdulla under the supervision of Prof. Dr. Basim Abbas Hassan This study investigates alternative strategies for constructing parameters within optimization algorithms, with a particular emphasis on enhancing the Dai-Liao (DL) conjugate gradient method through a modified quasi-Newton equation. The conjugate gradient method, especially the DL variant, is widely recognized for its efficiency in solving large-scale unconstrained optimization problems. However, traditional implementations typically rely on differences in iterates and gradient vectors, which may limit their adaptability and convergence properties in certain scenarios. To address these limitations, the proposed approach introduces a novel parameter formula that leverages the curvature condition in a new way-by incorporating information from objective function values, rather than depending solely on differences between points and gradients. This integration of function value data provides richer information about the optimization landscape, which can enhance both the stability and accuracy of the search direction. The primary advantage of this modification lies in its improved computational efficiency and its ability to guarantee global convergence under relatively mild and realistic assumptions. Theoretical analysis is provided to support these claims, including a proof of global convergence for the proposed method. To validate the practical effectiveness of the new approach, comprehensive numerical experiments were conducted on a variety of standard test problems. The results consistently demonstrate that the modified method outperforms the traditional DL conjugate gradient algorithm in terms of convergence speed and robustness, confirming the theoretical improvements and highlighting its potential for broader application in nonlinear optimization. The thesis ends by discussing the new findings and giving some suggestions for their future application. The scientific committee included the following members: 1- Prof. Dr. Ban Ahmed Hassan 2- Assist. Prof. Dr. Idris Mohammed Nori – Member. 3- Assist. Prof. Dr. Mona Mohsen Mohammed Ali – Member. 4- Prof. Dr. Basim Abbas Hassan – Member and supe Walid Abdullazeez Majeed rvisor. Previous Morning session entitled: Physical Fitness and Healthy Nutrition: The Foundations of Wellness for Girls Next Holding a continuing education course entitled: “Time Series Analysis in MATLAB” Share Share Latest News Ph.D. Dissertation by Student Hiba Shuker mahmmod Ahmad 17/05/2026 | 47 | Holding a panel discussion entitled (Academic Promotion) 13/05/2026 | 27 | Morning session entitled: Physical Fitness and Healthy Nutrition: The Foundations of Wellness for Girls 13/05/2026 | 24 | M.Sc. Dissertation by Student Waleed Abdulazeez Majeed Abdulla 13/05/2026 | 61 | Holding a continuing education course entitled: “Time Series Analysis in MATLAB” 10/05/2026 | 33 | More News More News About the University University Administration University Overview University Strategy Organizational Structure University Statistics Mosul City Campus Campus Grounds Libraries Sports Facilities Guest House IELTS Test Center Primary Healthcare Center Other Websites Computer Center Continuing Education Center Scholarships and Cultural Relations External Links Ministry of Higher Education and Scientific Research Ur Portal University Address Al Majmoaa Street Postal Code : 41002 Mosul – Iraq Contact Us All Rights Reserved for University of Mosul © 2026 Page load link Search for: Home About Dean’s Massage Our College in Brief Vision, Mission, objectives College Board College Structure Previous Deans Departments Department of Computer Sciences Department of Cyber Security Department of AI Department of Mathematics Department of Software Sciences Department of networks Science Department of Statistics and Informatics Department of Operations Research and Intelligent Techniques Contact Us University of Mosul Search for: Go to Top"