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Solving DC programs using the cutting angle method

Authors :
Gleb Beliakov
Albert Ferrer
Adil M. Bagirov
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
Universitat Politècnica de Catalunya. GNOM - Grup d'Optimització Numèrica i Modelització
Source :
Recercat. Dipósit de la Recerca de Catalunya, Universitat Jaume I, UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC)
Publication Year :
2014
Publisher :
Springer Science and Business Media LLC, 2014.

Abstract

In this paper, we propose a new algorithm for global minimization of functions represented as a difference of two convex functions. The proposed method is a derivative free method and it is designed by adapting the extended cutting angle method. We present preliminary results of numerical experiments using test problems with difference of convex objective functions and box-constraints. We also compare the proposed algorithm with a classical one that uses prismatical subdivisions.

Details

ISSN :
15732916 and 09255001
Volume :
61
Database :
OpenAIRE
Journal :
Journal of Global Optimization
Accession number :
edsair.doi.dedup.....12e4feefc735b6b1f6a0718c0ee3d155