sabrina BEN HANACHI (2024) Convergence des méthodes du gradient conjugué pour minimisation sans contrainte. univ of souk ahras
Scientific Publications
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Abstract
Abstract
The aim of this thesis is to present a new and fundamentally different conjugate gradient method which, when applied to solve unconstrained optimization problems, gives good convergence results and ensures the sufficient descent condition. To achieve this, we will use a well-known technique, the hybrid method based on a convex combination of three classical conjugate gradient methods. Furthermore, numerical experiments were performed to test the effectiveness of the proposed method, which confirmed its promising potential.
Keywords: Unconstrained optimization, Conjugate gradient, Algorithm, Global convergence, line search.
The aim of this thesis is to present a new and fundamentally different conjugate gradient method which, when applied to solve unconstrained optimization problems, gives good convergence results and ensures the sufficient descent condition. To achieve this, we will use a well-known technique, the hybrid method based on a convex combination of three classical conjugate gradient methods. Furthermore, numerical experiments were performed to test the effectiveness of the proposed method, which confirmed its promising potential.
Keywords: Unconstrained optimization, Conjugate gradient, Algorithm, Global convergence, line search.
Information
| Item Type | Thesis |
|---|---|
| Divisions |
» Faculty of Science and Technology |
| ePrint ID | 4930 |
| Date Deposited | 2024-04-29 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/4930 |
BibTex
@phdthesis{uniusa4930,
title={Convergence des méthodes du gradient conjugué pour minimisation sans contrainte},
author={sabrina BEN HANACHI},
year={2024},
school={univ of souk ahras}
}
title={Convergence des méthodes du gradient conjugué pour minimisation sans contrainte},
author={sabrina BEN HANACHI},
year={2024},
school={univ of souk ahras}
}