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The extreme rays of the 5x5 copositive cone

Roland Hildebrand(roland.hildebrand***at***imag.fr)

Abstract: We give an explicit characterization of all extreme rays of the cone of 5x5 copositive matrices. The results are based on the work of Baumert [L. D. Baumert, "Extreme copositive quadratic forms", PhD thesis, 1965], where an implicit characterization was given. We show that the class of extreme rays found by Baumert forms a 10-dimensional variety, which can be parametrized in a semi-trigonometric way.

Keywords: copositive cone, extremal rays

Category 1: Linear, Cone and Semidefinite Programming (Other )


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Entry Submitted: 03/08/2011
Entry Accepted: 03/08/2011
Entry Last Modified: 03/08/2011

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