OPTEC Seminar - G. Elabwabi | OPTEC - K.U.Leuven CoE Optimization in Engineering

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OPTEC Seminar - G. Elabwabi

Tue 23 May 2006 14:00-00:00, Celestijnenlaan 200S01.03

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"Nonnegative Bilinear Functions on the Cartesian Product of Lorentz Cones"
G. Elabwabi (T.U. Delft) joint work with E. de Klerk and P. Parrilo

Let L_n be the n-dimensional second order cone . A linear map from R^m to R^n is called nonnegative bilinear map if the image of L_m under this map is contained in L_n. For any pair (n;m), the set of nonnegative bilinear maps forms a convex cone. In this talk we will study this cone and its dual. We will construct a linear matrix inequality (LMI) that describes this cone and its dual. We will prove that it is possible to optimize over this cone and its dual using semidefinite programming in polynomial time. We will also present some applications in optimization as well as in linear algebra.

Short link	http://www.kuleuven.be/optec/event/387
Event type	Seminar
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Newsflash

Two OPTEC professors have been awarded three "Gouden Krijtjes", the yearly teaching awards given by the organization of engineering students (vtk). Prof. Lombaert was awarded the prize for the best course in civil engineering, and Prof. Diehl the prizes for the best professor and the best course in mathematical engineering (where he teaches numerical optimization). They received these awards at the yearly "proffentap" where experienced students taught them how to draft beer professionally.