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A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial

A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

A Note on the Hyperbolicity Cone of the Specialized Vámos Polynomial

Acta Applicandae Mathematicae , Volume 144 (1) – Dec 2, 2015

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer Science+Business Media Dordrecht
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-015-0036-z
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Dec 2, 2015

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