Partial Padé approximations
type: Item
instance of: scholarly article
title: Partial Padé approximations
zbMATH Open document ID: 0683.41029
DOI: 10.1016/0021-9045(88)90020-2
author: Claude Brezinski
published in: Journal of Approximation Theory
publication date: 1988-01-01T00:00:00Z
review text: The author defines a partial Padé approximant to a given formal power series f to be a rational function that has certain prescribed zeros and poles (which f is known to have) and whose Taylor expansion matches that of f as far as possible. This extends earlier work on higher-order Padé approximants where prescribed poles are imposed on the rational function. This paper examines this problem presenting some interesting numerical examples and points out the need for additional research on this problem.
Mathematics Subject Classification ID: 41A21
zbMATH DE Number: 4118896
zbMATH Keywords: partial Padé approximant
zbMATH Keywords: Taylor expansion
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: 0021-9045(88)90020-2
OpenAlex ID: W2052595545
cites work: Padé-type approximation and general orthogonal polynomials
cites work: Q4945753
cites work: Restricted Padé Approximations to the Exponential Function
description: scientific article; zbMATH DE number 4118896