Spectrahedral Shadows
| dc.contributor.author | Scheiderer, Claus | |
| dc.date.accessioned | 2018-08-29T13:47:54Z | |
| dc.date.available | 2018-08-29T13:47:54Z | |
| dc.date.issued | 2018-01-30 | eng |
| dc.description.abstract | We show that there are many (compact) convex semialgebraic sets in euclidean space that are not spectrahedral shadows. This gives a negative answer to a question by Nemirovski, resp. it shows that the Helton--Nie conjecture is false. | eng |
| dc.description.version | published | eng |
| dc.identifier.doi | 10.1137/17M1118981 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/43151 | |
| dc.language.iso | eng | eng |
| dc.subject | spectrahedral shadows, convex algebraic geometry, real algebraic curves, convex hull, linear matrix inequalities, moment relaxation, semide nite programming, Helton{Nie conjecture | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Spectrahedral Shadows | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Scheiderer2018-01-30Spect-43151,
year={2018},
doi={10.1137/17M1118981},
title={Spectrahedral Shadows},
number={1},
volume={2},
journal={SIAM Journal on Applied Algebra and Geometry},
pages={26--44},
author={Scheiderer, Claus}
} | |
| kops.citation.iso690 | SCHEIDERER, Claus, 2018. Spectrahedral Shadows. In: SIAM Journal on Applied Algebra and Geometry. 2018, 2(1), pp. 26-44. eISSN 2470-6566. Available under: doi: 10.1137/17M1118981 | deu |
| kops.citation.iso690 | SCHEIDERER, Claus, 2018. Spectrahedral Shadows. In: SIAM Journal on Applied Algebra and Geometry. 2018, 2(1), pp. 26-44. eISSN 2470-6566. Available under: doi: 10.1137/17M1118981 | eng |
| kops.citation.rdf | <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/server/rdf/resource/123456789/43151">
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-08-29T13:47:54Z</dc:date>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dcterms:title>Spectrahedral Shadows</dcterms:title>
<dc:language>eng</dc:language>
<bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/43151"/>
<dc:creator>Scheiderer, Claus</dc:creator>
<dcterms:abstract xml:lang="eng">We show that there are many (compact) convex semialgebraic sets in euclidean space that are not spectrahedral shadows. This gives a negative answer to a question by Nemirovski, resp. it shows that the Helton--Nie conjecture is false.</dcterms:abstract>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:issued>2018-01-30</dcterms:issued>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-08-29T13:47:54Z</dcterms:available>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:contributor>Scheiderer, Claus</dc:contributor>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
</rdf:Description>
</rdf:RDF> | |
| kops.flag.isPeerReviewed | unknown | eng |
| kops.flag.knbibliography | true | |
| kops.sourcefield | SIAM Journal on Applied Algebra and Geometry. 2018, <b>2</b>(1), pp. 26-44. eISSN 2470-6566. Available under: doi: 10.1137/17M1118981 | deu |
| kops.sourcefield.plain | SIAM Journal on Applied Algebra and Geometry. 2018, 2(1), pp. 26-44. eISSN 2470-6566. Available under: doi: 10.1137/17M1118981 | deu |
| kops.sourcefield.plain | SIAM Journal on Applied Algebra and Geometry. 2018, 2(1), pp. 26-44. eISSN 2470-6566. Available under: doi: 10.1137/17M1118981 | eng |
| relation.isAuthorOfPublication | 031e3046-77cb-4829-a349-0779279a6d82 | |
| relation.isAuthorOfPublication.latestForDiscovery | 031e3046-77cb-4829-a349-0779279a6d82 | |
| source.bibliographicInfo.fromPage | 26 | eng |
| source.bibliographicInfo.issue | 1 | eng |
| source.bibliographicInfo.toPage | 44 | eng |
| source.bibliographicInfo.volume | 2 | eng |
| source.identifier.eissn | 2470-6566 | eng |
| source.periodicalTitle | SIAM Journal on Applied Algebra and Geometry | eng |