On the regularity of the roots of hyperbolic polynomials

DOI10.1007/s11856-012-0015-2zbMath1282.26020OpenAlexW1979452068MaRDI QIDQ375826

Nicola Orrù, Ferruccio Colombini, Ludovico Pernazza

Publication date: 1 November 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-012-0015-2

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) Polynomials and rational functions of one complex variable (30C10) Real polynomials: analytic properties, etc. (26C05)

Related Items

Lifting differentiable curves from orbit spaces ⋮ Iterated integrals of polynomials ⋮ A regularity class for the roots of nonnegative functions ⋮ Differentiable roots, eigenvalues, and eigenvectors ⋮ Smooth roots of hyperbolic polynomials with definable coefficients ⋮ Selections of bounded variation for roots of smooth polynomials ⋮ Roots of Gårding hyperbolic polynomials ⋮ Quasianalytic multiparameter perturbation of polynomials and normal matrices ⋮ Perturbation of complex polynomials and normal operators ⋮ Hyperbolic second order equations with non-regular time dependent coefficients

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