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, Parrilo, Pablo A
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2017
Online Access:http://hdl.handle.net/1721.1/110332
https://orcid.org/0000-0003-1132-8477

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