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Improving the Robustness of Difference of Convex Algorithm in the Research of a Global Optimum of a Nonconvex Differentiable Function Defined on a Bounded Closed Interval

Fadila, Leslous and Marthon, Philippe and Mohand, Ouanes Improving the Robustness of Difference of Convex Algorithm in the Research of a Global Optimum of a Nonconvex Differentiable Function Defined on a Bounded Closed Interval. (2014) Applied Mathematical Sciences, 8 (1). 1-12. ISSN 1314-7552

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Official URL: http://dx.doi.org/10.12988/ams.2014.35258

Abstract

In this paper we present an algorithm for solving a DC problem non convex on an interval [a, b] of R. We use the DCA (Difference of Convex Algorithm) and the minimum of the average of two approximations of the function from a and b. This strategy has the advantage of giving in general a minimum to be situated in the attraction zone of the global minimum searched. After applying the DCA from this minimum we certainly arrive at the global minimum searched.

Item Type:Article
Additional Information:Thanks to Hikari editor. The definitive version is available at http://www.m-hikari.com/ams/ams-2014/ams-1-4-2014/35258.html
HAL Id:hal-01137376
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > Université des Sciences et de la Technologie Houari Boumediene - USTHB (ALGERIA)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:30 Mar 2015 13:58

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