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dc.contributor.authorPermenter, Frank Noble
dc.contributor.authorParrilo, Pablo A.
dc.date.accessioned2019-07-08T15:49:59Z
dc.date.available2019-07-08T15:49:59Z
dc.date.issued2015-02
dc.identifier.issn0191-2216
dc.identifier.urihttps://hdl.handle.net/1721.1/121514
dc.description.abstractWe develop a monomial basis selection procedure for sum-of-squares (SOS) programs based on facial reduction. Using linear programming and polyhedral approximations, the proposed technique finds a face of the SOS cone containing the feasible set of a given SOS program. The identified face in turn identifies a set of monomials that can be used to convert the SOS program into a semidefinite program (SDP). The technique can be viewed as a generalization of standard parsing algorithms for monomial basis selection. As we illustrate with examples, the proposed method can lead to smaller SDPs that are simpler to solve.en_US
dc.language.isoen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en_US
dc.relation.isversionof10.1109/CDC.2014.7040427en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceMIT web domainen_US
dc.titleBasis selection for SOS programs via facial reduction and polyhedral approximationsen_US
dc.typeArticleen_US
dc.identifier.citationPermenter, Frank and Pablo a. Parrilo. "Basis selection for SOS programs via facial reduction and polyhedral approximations." In Proceedings of the IEEE Conference on Decision and Control, 53rd (February 2015).en_US
dc.contributor.departmentMassachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratoryen_US
dc.contributor.departmentMassachusetts Institute of Technology. Laboratory for Information and Decision Systemsen_US
dc.relation.journalProceedings of the IEEE Conference on Decision and Controlen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dc.date.updated2019-06-28T18:23:56Z
dspace.date.submission2019-06-28T18:23:57Z


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