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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(Document in English)
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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 |
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| 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) |
| Laboratory name: | |
| Statistics: | download |
| Deposited By: | IRIT IRIT |
| Deposited On: | 30 Mar 2015 13:58 |
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