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: | Pham Dinh Tao, Le Thi Hoai, Ngai Huynh |
Keywords: | programming: linear |
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.