The system will be going down for regular maintenance. Please save your work and logout.
An analytic approach to estimating the solutions of Bézout's polynomial identity
Language
en
Document de travail - Pré-publication
This item was published in
2023
English Abstract
This paper contains sharp bounds on the coefficients of the polynomials $R$ and $S$ which solve the classical one variable Bézout identity $A R + B S = 1$, where $A$ and $B$ are polynomials with no common zeros. The bounds ...Read more >
This paper contains sharp bounds on the coefficients of the polynomials $R$ and $S$ which solve the classical one variable Bézout identity $A R + B S = 1$, where $A$ and $B$ are polynomials with no common zeros. The bounds are expressed in terms of the separation of the zeros of $A$ and $B$. Our proof involves contour integral representations of these coefficients. We also obtain an estimate on the norm of the inverse of the Sylvester matrix.Read less <
English Keywords
Bézout identity
Cauchy integral formula
Sylvester matrix
Corona theorem
ANR Project
Noyaux reproduisants en Analyse et au-delà - ANR-18-CE40-0035
Centre Européen pour les Mathématiques, la Physique et leurs Interactions - ANR-11-LABX-0007
Centre Européen pour les Mathématiques, la Physique et leurs Interactions - ANR-11-LABX-0007
Origin
Hal imported