Polynomial-sized semidefinite representations of derivative relaxations of spectrahedral cones

We give explicit polynomial-sized (in n and k) semidefinite representations of the hyperbolicity cones associated with the elementary symmetric polynomials of degree k in n variables. These convex cones form a family of non-polyhedral outer approximations of the non-negative orthant that preserve lo...

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Bibliographic Details
Main Authors: Saunderson, James F (Contributor), Parrilo, Pablo A (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2017-06-27T19:16:08Z.
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