FRICAIN, Emmanuel; HARTMANN, Andreas; ROSS, William; TIMOTIN, Dan

doi:10.48550/arXiv.2310.12734

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

FRICAIN, Emmanuel
Laboratoire Paul Painlevé - UMR 8524 [LPP]

HARTMANN, Andreas
Institut de Mathématiques de Bordeaux [IMB]

ROSS, William
University of Richmond

Idioma

Document de travail - Pré-publication

Este ítem está publicado en

2023

Resumen en inglés

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.< Leer menos

Palabras clave en inglés

Bézout identity

Cauchy integral formula

Sylvester matrix

Corona theorem

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190434

DOI

http://dx.doi.org/10.48550/arXiv.2310.12734

Proyecto ANR

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

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251