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| Titre: | New variant of the conjugate gradient method with practical application |
| Auteur(s): | Kerour, Malika
Hemissi, Hanaa |
| Mots-clés: | Nonlinear unconstrained optimization
Conjugate gradient method
Descent direction
Global convergence
Inexact line search |
| Date de publication: | 2025 |
| Résumé: | The conjugate gradient method is one of the most effective methods for solving
unconstrained nonlinear optimization problems, as well as for solving large
dimensional linear systems.
In this dissertation, we propose a new conjugate gradient method, characterized by an
improved descent direction and a new WYL-type parameter, denoted YHS, followed
by a comprehensive theoretical study.
We carried out a comparative study, through numerical tests, between the new method
and existing methods, namely HS, WYL, and SFA, using Wolfe's inexact line search.
The results obtained show that the new method outperforms the considered methods in
terms of performance and efficiency |
| URI/URL: | http://dspace.univ-setif.dz:8888/jspui/handle/123456789/5528 |
| Collection(s) : | Mémoires de master
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