IMPLEMENTATION OF THE ALIENOR TECHNIQUE IN THE MULTIDIMENSIONAL BISSECTION METHOD AND APPLICATION TO GLOBAL OPTIMIZATION - A NEW ACCELERATED ALGORITHM

Authors
AMMAR H CHERRUAULT Y
Citation
H. Ammar et Y. Cherruault, IMPLEMENTATION OF THE ALIENOR TECHNIQUE IN THE MULTIDIMENSIONAL BISSECTION METHOD AND APPLICATION TO GLOBAL OPTIMIZATION - A NEW ACCELERATED ALGORITHM, Kybernetes, 24(5), 1995, pp. 31
Citations number
9
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Science Cybernetics
Journal title
Kybernetes → ACNP
ISSN journal
0368492X
Volume
24
Issue
5
Year of publication
1995
Database
ISI
SICI code
0368-492X(1995)24:5<31:IOTATI>2.0.ZU;2-V
Abstract
Using the ALIENOR transformation avoids the problem of determining the first and second derivatives of the objective functional f when using the multidimensional bissection method. Knowledge of the Lipschitzian constant C is generally sufficient for using this method, and therefo re for determining the global maximum of f defined on a compact set.