Nasreddine CHENNA (2022) Unconstrained nonlinear optimization. university of souk ahras
Scientific Publications
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Abstract
In this thesis we proved descent direction of the conjugate gradient method which is a combination convex of Fletcher and Reeves (FR) and Polak-Ribière and Polyak (PRP) method,
and present a new hybrid method to solve an nonlinear unconstrained optimization problem
by using conjugate gradient which is convex combination of Liu-Storey (LS) conjugate gradient
method and Hager-Zhang (HZ) conjugate gradient method. This method possesses the sufficient
descent property with Strong Wolfe-Powell line search and the global convergence with the
Strong Wolfe-Powell line search. In the end of this thesis, we illustrate our method by giving
some numerical examples.
Key words:
Conjugate gradient, Global convergence, Algorithm, Unconstrained optimization, Line search.
and present a new hybrid method to solve an nonlinear unconstrained optimization problem
by using conjugate gradient which is convex combination of Liu-Storey (LS) conjugate gradient
method and Hager-Zhang (HZ) conjugate gradient method. This method possesses the sufficient
descent property with Strong Wolfe-Powell line search and the global convergence with the
Strong Wolfe-Powell line search. In the end of this thesis, we illustrate our method by giving
some numerical examples.
Key words:
Conjugate gradient, Global convergence, Algorithm, Unconstrained optimization, Line search.
Information
| Item Type | Thesis |
|---|---|
| Divisions |
» Faculty of Science and Technology |
| ePrint ID | 2919 |
| Date Deposited | 2022-03-14 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/2919 |
BibTex
@phdthesis{uniusa2919,
title={Unconstrained nonlinear optimization},
author={Nasreddine CHENNA},
year={2022},
school={university of souk ahras}
}
title={Unconstrained nonlinear optimization},
author={Nasreddine CHENNA},
year={2022},
school={university of souk ahras}
}