Theta Bodies for Polynomial Ideals

Inspired by a question of Lovász, we introduce a hierarchy of nested semidefinite relaxations of the convex hull of real solutions to an arbitrary polynomial ideal called theta bodies of the ideal. These relaxations generalize Lovász's construction of the theta body of a graph. We establish a r...

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Bibliographic Details
Main Authors: Parrilo, Pablo A., Thomas, Rekha R., Gouveia, João
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2010
Online Access:http://hdl.handle.net/1721.1/58469
https://orcid.org/0000-0003-1132-8477

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