Froissart doublets in Padé approximation in the case of polynomial noise
type: Item
instance of: scholarly article
title: Froissart doublets in Padé approximation in the case of polynomial noise
zbMATH Open document ID: 1016.41011
DOI: 10.1016/S0377-0427(02)00674-X
author: Jacek Gilewicz
author: Yu. V. Kryakin
published in: Journal of Computational and Applied Mathematics
publication date: 2003-05-22T00:00:00Z
review text: The authors present a new approach to simplify the so-called restricted Froissart problem by considering polynomial noise instead of a power series noise \(\varepsilon\sum^\infty_{k=0}c_kz^k\). Through this simplification of the noise representation, the relation between the zeros of the polynomial and the position of the Froissart doublets is analyzed. The numerical estimations match with the theoretical ones.
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 65G99
zbMATH DE Number: 1915237
zbMATH Keywords: Padé approximation
zbMATH Keywords: Froissart doublets
zbMATH Keywords: polynomial noise
reviewed by: Nácere Hayek
MaRDI profile type: Publication
cites work: On the Froissart phenomenon in multivariate homogeneous Padé approximation
cites work: Padé approximations in noise filtering
cites work: Approximants de Padé
cites work: Padé approximants and noise: A case of geometric series
cites work: Padé approximants and noise: Rational functions
cites work: Q3199979
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description: scientific article; zbMATH DE number 1915237