College of Computer Science and Mathematics

Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:

“ Two Modified Parameter For Solving Unconstrained Optimization “

 

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 Tuesday 30-7-2024

Master’s thesis by student  Abd Ahmad Hassan, under

the supervision of  Professor Dr. Hamsa Th. Saeed.

Conjugate gradient methods are widely used in optimization, especially in solving unconstrained nonlinear problems of large dimensions, because they do not need to store any matrix.

The thesis included the derivation of a new coefficient for the conjugate gradient method by equating the equation. of the conjugate gradient method CG with the equation. of the updated Quasi-Newton method QN with an inexact search line, where this method achieved the conditions of sufficient descent and global convergence under some assumptions.

We also proposed anew road, by using inexact search line and prove the condition of sufficient descent and global convergence under some assumptions.

These two methods proved their efficiency through numerical results in practice by taking a number of nonlinear test functions in unconstrained optimization and comparing their results with the results of standard functions for (HS-Algorithm) (NOF), (NOI),(CPU) using the Fortran program (6.6) through proven tables. The results of these functions have been plotted using the (Dolan-More) program.

 

The scientific committee included the following members :

• Basim A. Hassan – Chairman

2- Prof. Iman T. Hamed – Member.

 

3- Dr. Hisham M. Khader  – Member .

 

  4- Professor Dr. Hamsa Th. Saeed – Member and supervisor .