Publikation: A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial
Lade...
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2016
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
DOI (zitierfähiger Link)
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Acta Applicandae Mathematicae. 2016, 144(1), pp. 11-15. ISSN 0167-8019. eISSN 1572-9036. Available under: doi: 10.1007/s10440-015-0036-z
Zusammenfassung
The specialized Vámos polynomial is a hyperbolic polynomial of degree four in four variables with the property that none of its powers admits a definite determinantal representation. We will use a heuristic method to prove that its hyperbolicity cone is a spectrahedron.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Hyperbolic polynomials, Hyperbolicity cone, Spectrahedron, Vámos matroid, Semidefinite programming, Convex algebraic geometry
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
KUMMER, Mario, 2016. A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial. In: Acta Applicandae Mathematicae. 2016, 144(1), pp. 11-15. ISSN 0167-8019. eISSN 1572-9036. Available under: doi: 10.1007/s10440-015-0036-zBibTex
@article{Kummer2016-08Hyper-39713,
year={2016},
doi={10.1007/s10440-015-0036-z},
title={A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial},
number={1},
volume={144},
issn={0167-8019},
journal={Acta Applicandae Mathematicae},
pages={11--15},
author={Kummer, Mario}
}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/123456789/39713">
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-08-01T09:47:02Z</dcterms:available>
<dc:language>eng</dc:language>
<dcterms:issued>2016-08</dcterms:issued>
<dcterms:title>A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial</dcterms:title>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-08-01T09:47:02Z</dc:date>
<bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/39713"/>
<dcterms:abstract xml:lang="eng">The specialized Vámos polynomial is a hyperbolic polynomial of degree four in four variables with the property that none of its powers admits a definite determinantal representation. We will use a heuristic method to prove that its hyperbolicity cone is a spectrahedron.</dcterms:abstract>
<dc:creator>Kummer, Mario</dc:creator>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dc:contributor>Kummer, Mario</dc:contributor>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
</rdf:Description>
</rdf:RDF>
