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Testing hyperbolicity of real polynomials
Published 8 Oct 2018 in math.AG and math.OC | (1810.04055v2)
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.
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