Definite Determinantal Representations of Ternary Hyperbolic Forms
Algebraic Geometry
2015-06-19 v2 Optimization and Control
Abstract
We give a new and completely algebraic proof of the Helton-Vinnikov Theorem stating that every hyperbolic polynomial in three variables admits a definite linear determinantal representation.
Keywords
Cite
@article{arxiv.1411.1661,
title = {Definite Determinantal Representations of Ternary Hyperbolic Forms},
author = {Christoph Hanselka},
journal= {arXiv preprint arXiv:1411.1661},
year = {2015}
}