College of Computer Science and Mathematics

Discussion of Ph.D. Dissertation in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:

“The global convergence property of the new parameters in unconstrained optimization using an inexact search line “

It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday, 9 -7-2025.

Ph.D. Dissertation by Student Ziad Idris Hamad yonis

Every scientific problem begins with a simple idea, which gradually develops as time passes, accompanied by the diversification of methods and approaches through the exchange and refinement of ideas among researchers. Based on this foundation, the concept of optimization began as a simple idea stemming from the observations of Aristotle (384–322 BC), who noted that motion follows straight lines and that the circle encloses the smallest possible area.

In the 17th and 18th centuries, the concept of optimization evolved further and became connected with the field of calculus. Optimization gained independence as a scientific field through the contributions of the Russian researcher Kantorovich in 1939 and the American Dantzig in 1947, who introduced the first results of modern optimization theory.

During this period, ideas in multivariable numerical optimization were still simple, with steepest descent methods used for solving certain physical problems. Multivariable optimization ideas also emerged through scientists like Newton, who laid the groundwork for gradient-based optimization.

The advent of digital computers and the development of programming techniques significantly accelerated the advancement of optimization methods, which involve extensive arithmetic operations, whether simple or complex. Before 1941, numerical optimization methods were neither well-known nor widely applied. Instead, simple approaches for multivariable functions, such as the steepest descent method for unconstrained optimization problems, were used.

Between 1941 and 1947, the field witnessed significant growth with the emergence of linear programming. In 1952, researchers Hestenes and Stiefel introduced the first linear conjugate gradient method, an iterative technique aimed at reaching the function’s minimum.

under the supervision of Prof. Dr. Ghada Moayid Rasheed

The scientific committee included the following members:

• Dr. Huda Asim Ahmed – Chairman
• Dr. Iman Tareq Hamed – Member.
• Dr. Safwan Omar Hassoun – Member.
• Prof. Dr. Hamsa Tharwat Saeed – Member.
• Prof. Dr. Nizar Khalaf Hussein – Member.
• Dr. Ghada Moayid Rasheed – Member and supervisor.