My research domain is the operations research, between applied mathematics and computer science, focused on solving global optimization problems. Global optimization is a difficult subject that has growth over the past twenty years. This is to determine the global optimum of a non-linear and non-convex discrete/continuous functions subject to constraints, themselves non-linear and non-convex. These functions may also include sub-polynomial functions, trigonometric, logarithmic, exponential, and others. Finally, we must not only find the global minimum, but also certify the optimality of the solution obtained in a rigorous manner.
My work can be divided into several areas:
Thesis Award Paul Sabatier 2011 by the Academy of Sciences, Inscriptions and Belles-Lettres of Toulouse
Thesis Award Léopold Escandre 2012 by the National Polytechnic Institute of Toulouse