Roots and polynomials as homeomorphic spaces

DOI10.1016/j.exmath.2005.07.001zbMath1101.30008arXivmath/0502037OpenAlexW2125078845MaRDI QIDQ2489560

Branko Ćurgus, Vania Mascioni

Publication date: 28 April 2006

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502037

zbMATH Keywords

continuity of roots wrt the coefficients

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

Linear Forms in Polylogarithms ⋮ CONTINUITY OF ROOTS, REVISITED ⋮ Stability of roots of polynomials under linear combinations of derivatives ⋮ A Note on Perturbation Estimates for Invariant Subspaces of Hessenberg Matrices ⋮ On continuous parameter dependence of roots of analytic functions ⋮ Perturbation bounds for polynomials ⋮ Continuity of the Roots of a Polynomial

Cites Work

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