A note on the location of polynomial roots

2006/09/11 by Dario A. Bini, Bini, Dario A., Federico Poloni +1
Computer Science · Mathematics · #30C15 #65H05 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Numerical Analysis (math.NA) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/0609297

openalex publication_date 2006/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review some known inclusion results for the roots of a polynomial, and adapt them to a conjecture recently presented by S. A. Vavasis. In particular, we provide strict upper and lower bounds to the distance of the closest root of a polynomial p(z) from a given root of p'(z).

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