Testing hyperbolicity of real polynomials
Algebraic Geometry
2018-10-24 v2 Optimization and Control
Abstract
Hyperbolic polynomials are real multivariate polynomials with only real roots along a fixed pencil of lines. Testing whether a given polynomial is hyperbolic is a difficult task in general. We examine different ways of translating hyperbolicity into nonnegativity conditions, which can then be tested via sum-of-squares relaxations.
Cite
@article{arxiv.1810.04055,
title = {Testing hyperbolicity of real polynomials},
author = {Papri Dey and Daniel Plaumann},
journal= {arXiv preprint arXiv:1810.04055},
year = {2018}
}
Comments
12 pages, 1 figure; minor changes in Section 2 and a few corrections