IJPAM: Volume 84, No. 1 (2013)

NEW UNDERESTIMATOR FOR MULTIVARIATE
GLOBAL OPTIMIZATION WITH BOX CONSTRAINTS

Mohand Ouanes
Department of Mathematics
Mouloud Mammeri University
Tizi-Ouzou, 15000, ALGERIA


Abstract. The paper is concerned with the multivariate global optimization with box constraints. A new underestimator is investigated for twice continuously differentiable function on a box which is an extension of the approach developed in [#!leo!#] for univariate global optimization.

Received: October 30, 2012

AMS Subject Classification: 65K05, 90C30, 90C34

Key Words and Phrases: global optimization, convex underestimator, exhaustive w-subdivision, branch and bound

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DOI: 10.12732/ijpam.v84i1.5 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 1