Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

RIENER, Cordian, Thorsten THEOBALD, Lina JANSSON ANDRÉN, Jean B. LASSERRE, 2013. Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization. In: Mathematics of Operations Research. 38(1), pp. 122-141. ISSN 0364-765X. eISSN 1526-5471. Available under: doi: 10.1287/moor.1120.0558

@article{Riener2013Explo-23503, title={Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization}, year={2013}, doi={10.1287/moor.1120.0558}, number={1}, volume={38}, issn={0364-765X}, journal={Mathematics of Operations Research}, pages={122--141}, author={Riener, Cordian and Theobald, Thorsten and Jansson Andrén, Lina and Lasserre, Jean B.} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/23503"> <dcterms:abstract xml:lang="eng">In this paper we study various approaches for exploiting symmetries in polynomial optimization problems within the framework of semidefinite programming relaxations. Our special focus is on constrained problems especially when the symmetric group is acting on the variables. In particular, we investigate the concept of block decomposition within the framework of constrained polynomial optimization problems, show how the degree principle for the symmetric group can be computationally exploited, and also propose some methods to efficiently compute the geometric quotient.</dcterms:abstract> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dcterms:bibliographicCitation>Mathematics of Operations Research ; 38 (2013), 1. - S. 122-141</dcterms:bibliographicCitation> <dc:contributor>Jansson Andrén, Lina</dc:contributor> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:creator>Theobald, Thorsten</dc:creator> <dc:contributor>Theobald, Thorsten</dc:contributor> <dc:contributor>Lasserre, Jean B.</dc:contributor> <dc:creator>Riener, Cordian</dc:creator> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/23503"/> <dc:contributor>Riener, Cordian</dc:contributor> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/52"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-06-10T12:57:54Z</dcterms:available> <dcterms:rights rdf:resource="https://kops.uni-konstanz.de/page/termsofuse"/> <dc:creator>Lasserre, Jean B.</dc:creator> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:title>Exploiting Symmetries in SDP-Relaxations for Polynomial Optimization</dcterms:title> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-06-10T12:57:54Z</dc:date> <dc:creator>Jansson Andrén, Lina</dc:creator> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/52"/> <dc:rights>terms-of-use</dc:rights> <dcterms:issued>2013</dcterms:issued> <dc:language>eng</dc:language> </rdf:Description> </rdf:RDF>

This item appears in the following Collection(s)

Search KOPS


Browse

My Account