A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial

dc.contributor.authorKummer, Mario
dc.date.accessioned2017-08-01T09:47:02Z
dc.date.available2017-08-01T09:47:02Z
dc.date.issued2016-08eng
dc.description.abstractThe 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.eng
dc.description.versionpublishedde
dc.identifier.doi10.1007/s10440-015-0036-zeng
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/39713
dc.language.isoengeng
dc.subjectHyperbolic polynomials, Hyperbolicity cone, Spectrahedron, Vámos matroid, Semidefinite programming, Convex algebraic geometryeng
dc.subject.ddc510eng
dc.titleA Note on the Hyperbolicity Cone of the Specialized Vámos Polynomialeng
dc.typeJOURNAL_ARTICLEde
dspace.entity.typePublication
kops.citation.bibtex
@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}
}
kops.citation.iso690KUMMER, 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-zdeu
kops.citation.iso690KUMMER, 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-zeng
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kops.sourcefieldActa Applicandae Mathematicae. 2016, <b>144</b>(1), pp. 11-15. ISSN 0167-8019. eISSN 1572-9036. Available under: doi: 10.1007/s10440-015-0036-zdeu
kops.sourcefield.plainActa Applicandae Mathematicae. 2016, 144(1), pp. 11-15. ISSN 0167-8019. eISSN 1572-9036. Available under: doi: 10.1007/s10440-015-0036-zdeu
kops.sourcefield.plainActa Applicandae Mathematicae. 2016, 144(1), pp. 11-15. ISSN 0167-8019. eISSN 1572-9036. Available under: doi: 10.1007/s10440-015-0036-zeng
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source.bibliographicInfo.volume144eng
source.identifier.eissn1572-9036eng
source.identifier.issn0167-8019eng
source.periodicalTitleActa Applicandae Mathematicaeeng

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