On the existence of Hurwitz polynomials with no Hadamard factorization

zbMath1437.26014arXiv2001.02676MaRDI QIDQ5108555

Michał Góra, Stanisław Białas

Publication date: 4 May 2020

Full work available at URL: https://arxiv.org/abs/2001.02676

zbMATH Keywords

Hadamard factorizationHadamard product of polynomialsHurwitz stable polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Related Items (1)

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Cites Work

• Properties of the set of hadamardized Hurwitz polynomials
• Hadamard products of stable polynomials are stable
• Necessary conditions for Hadamard factorizations of Hurwitz polynomials
• A Hurwitz Matrix is Totally Positive
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