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Smooth hyperbolicity cones are spectrahedral shadows.
- Source :
-
Mathematical Programming . Oct2015, Vol. 153 Issue 1, p213-221. 9p. - Publication Year :
- 2015
-
Abstract
- Hyperbolicity cones are convex algebraic cones arising from hyperbolic polynomials. A well-understood subclass of hyperbolicity cones is that of spectrahedral cones and it is conjectured that every hyperbolicity cone is spectrahedral. In this paper we prove a weaker version of this conjecture by showing that every smooth hyperbolicity cone is the linear projection of a spectrahedral cone, that is, a spectrahedral shadow. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00255610
- Volume :
- 153
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematical Programming
- Publication Type :
- Academic Journal
- Accession number :
- 109420556
- Full Text :
- https://doi.org/10.1007/s10107-014-0744-6