| Issue |
BIO Web Conf.
Volume 97, 2024
Fifth International Scientific Conference of Alkafeel University (ISCKU 2024)
|
|
|---|---|---|
| Article Number | 00143 | |
| Number of page(s) | 9 | |
| DOI | https://doi.org/10.1051/bioconf/20249700143 | |
| Published online | 05 April 2024 | |
The modification conjugate coefficient for conjugate gradient method to solving unconstrained optimization problems
Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq
* Corresponding Author: abd.ahmad.alhassan@gmail.com
In this manuscript, a novel conjugate coefficient is derived through the utilization of equality conjugate gradient direction in conjunction with a modified quasi-Newton (QN) direction. The demonstrated results establish that this innovative approach ensures both sufficient descent and global convergence, meeting the criteria of the Wolf line search condition and inexact line search. Through numerical experiments, we employ the proposed method on a diverse set of established test functions, clearly demonstrating its enhanced efficiency. A comparative analysis is conducted against the FR CG method using the Dolan-More performance profile based on the number of function evaluations (NOF), number of iterations (NOI), and CPU time.
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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