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Roland Hildebrand (roland.hildebrandimag.fr) Abstract: Let L_n be the ndimensional second order cone. A linear map from R^m to R^n is called positive if the image of L_m under this map is contained in L_n. For any pair (n,m) of dimensions, the set of positive maps forms a convex cone. We construct a linear matrix inequality of size (n1)(m1) that describes this cone. Keywords: second order cone, semidefinite cone Category 1: Linear, Cone and Semidefinite Programming (Semidefinite Programming ) Citation: Laboratory Jean Kuntzmann (LJK), University Joseph Fourier, Grenoble, France, August 2007 Download: [PDF] Entry Submitted: 08/03/2007 Modify/Update this entry  
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