A new application of the extended Euclidean algorithm for matrix Padé approximants
type: Item
instance of: scholarly article
title: A new application of the extended Euclidean algorithm for matrix Padé approximants
zbMATH Open document ID: 0659.65045
DOI: 10.1016/0898-1221(88)90145-9
author: S. H. Smith
publication date: 1988-01-01T00:00:00Z
review text: To compute the matrix Padé approximants [cf. \textit{G. A. Baker jun.}, Essentials of Padé approximants (1975; Zbl 0315.41014)] of a formal power series \(S(x)=\sum^{\infty}_{i=0}s_ ix_ i\) whose coefficients \(s_ i\) are square matrices, the extended Euclidean algorithm is suitably modified. The authors present a Pascal procedure which generates the approximants along an anti-diagonal path in the Padé table of S (if they exist) and illustrate their method by numerical examples.
reviewed by: Michael Eiermann
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 41A21
zbMATH DE Number: 4078644
zbMATH Keywords: matrix Padé approximants
zbMATH Keywords: formal power series
zbMATH Keywords: extended Euclidean algorithm
zbMATH Keywords: Pascal procedure
zbMATH Keywords: Padé table
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: 0898-1221(88)90145-9
OpenAlex ID: W2029415594
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4078644