Exact penalty and error bounds in DC programming

Exact penalty and error bounds in DC programming

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Article ID: iaor20122800
Volume: 52
Issue: 3
Start Page Number: 509
End Page Number: 535
Publication Date: Mar 2012
Journal: Journal of Global Optimization
Authors: , ,
Keywords: programming: linear
Abstract:

In the present paper, we are concerned with conditions ensuring the exact penalty for nonconvex programming. Firstly, we consider problems with concave objective and constraints. Secondly, we establish various results on error bounds for systems of DC inequalities and exact penalty, with/without error bounds, in DC programming. They permit to recast several class of difficult nonconvex programs into suitable DC programs to be tackled by the efficient DCA.

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