Hyperbolicity cones of elementary symmetric polynomials are spectrahedral 2014 (English)In: Optimization Letters, ISSN 1862-4472, E-ISSN 1862-4480, Vol. 8, no 5, p. 1773-1782Article 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, p. 1773-1782

Keywords [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, id: diva2:742237

Funder

Knut and Alice Wallenberg Foundation

Note

QC 20140901

Available from: 2014-09-01 Created: 2014-08-29 Last updated: 2022-06-23Bibliographically approved

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Brändén, Petter

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Mathematics (Div.)

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