Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Hyperbolicity cones of elementary symmetric polynomials are spectrahedral
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-1055-1474
2014 (English)In: Optimization Letters, ISSN 1862-4472, E-ISSN 1862-4480, Vol. 8, no 5, 1773-1782 p.Article in journal (Refereed) Published
Abstract [en]

We prove that the hyperbolicity cones of elementary symmetric polynomials are spectrahedral, i.e., they are slices of the cone of positive semidefinite matrices. The proof uses the matrix-tree theorem, an idea already present in Choe et al.

Place, publisher, year, edition, pages
2014. Vol. 8, no 5, 1773-1782 p.
Keyword [en]
Hyperbolic polynomials, Hyperbolicity cones, Spectrahedral cones, Elementary symmetric polynomials, Matrix-tree theorem
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-149990DOI: 10.1007/s11590-013-0694-6ISI: 000339820400014Scopus ID: 2-s2.0-84901616105OAI: oai:DiVA.org:kth-149990DiVA: diva2:742237
Funder
Knut and Alice Wallenberg Foundation
Note

QC 20140901

Available from: 2014-09-01 Created: 2014-08-29 Last updated: 2017-12-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Authority records BETA

Brändén, Petter

Search in DiVA

By author/editor
Brändén, Petter
By organisation
Mathematics (Div.)
In the same journal
Optimization Letters
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 61 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf