التفاصيل البيبلوغرافية
| العنوان: |
Smooth hyperbolicity cones are spectrahedral shadows. |
| المؤلفون: |
Netzer, Tim, Sanyal, Raman |
| المصدر: |
Mathematical Programming; Oct2015, Vol. 153 Issue 1, p213-221, 9p |
| مصطلحات موضوعية: |
POLYNOMIALS, HYPERBOLIC spaces, SET theory, CONES, LINEAR systems, MATHEMATICAL analysis |
| مستخلص: |
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] |
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