Approximate cone factorizations and lifts of polytopes

In this paper we show how to construct inner and outer convex approximations of a polytope from an approximate cone factorization of its slack matrix. This provides a robust generalization of the famous result of Yannakakis that polyhedral lifts of a polytope are controlled by (exact) nonnegative fa...

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Bibliographic Details
Main Authors: Gouveia, Joao, Parrilo, Pablo A., Thomas, Rekha R.
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Springer-Verlag 2016
Online Access:http://hdl.handle.net/1721.1/100986
https://orcid.org/0000-0003-1132-8477