Optimization Online


An LMI description for the cone of Lorentz-positive maps II

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

Abstract: Let L_n be the n-dimensional 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 (n-1)(m-1) that describes this cone.

Keywords: second order cone, semidefinite cone

Category 1: Linear, Cone and Semidefinite Programming (Semi-definite Programming )

Citation: Laboratory Jean Kuntzmann (LJK), University Joseph Fourier, Grenoble, France, August 2007

Download: [PDF]

Entry Submitted: 08/03/2007
Entry Accepted: 08/03/2007
Entry Last Modified: 10/07/2008

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Programming Society