Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776359 | Journal of Computational and Applied Mathematics | 2017 | 17 Pages |
Abstract
We develop a new modified Polak-Ribière conjugate gradient method by considering a random perturbation. Our approach is suitable for solving a large class of optimization problems on a rectangle of Rn or unconstrained problems. Theoretical results ensure that the proposed method converges to a global minimizer. Numerical experiments are achieved on some typical test problems, particularly the engineering problem of Lennard-Jones clusters. A comparison with well known methods is carried out to show the performance of our algorithm.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Raouf Ziadi, Rachid Ellaia, Abdelatif Bencherif-Madani,