On the Hurwitz stability of noninteger Hadamard powers of stable polynomials

DOI10.1016/j.laa.2023.11.022MaRDI QIDQ6187357

Stanisław Białas, Michał Kudra, Leokadia Białas-Cież

Publication date: 15 January 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

polynomial rootsHurwitz stabilityHadamard powerRouché theorem

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) 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)

Cites Work

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• On Hadamard powers of polynomials
• Comments on `On Hadamard powers of polynomials'
• Hadamard products of stable polynomials are stable
• Matrix methods for the tensorial Bernstein form
• Hadamard powers of polynomials with only real zeros
• Bounds for the range of a complex polynomial over a rectangular region
• The generalized Hadamard product of polynomials and its stability

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