On the convergence of the multivariate ``homogeneous'' qd-algorithm
type: Item
instance of: scholarly article
title: On the convergence of the multivariate ``homogeneous'' qd-algorithm
zbMATH Open document ID: 0820.65001
DOI: 10.1007/BF01934266
published in: BIT
publication date: 1995-09-18T00:00:00Z
review text: The convergence theorem of the multivariate homogeneous qd-algorithm is proved exploiting an analogous theorem of the univariate theory. The homogeneous form detects polar singularities ``pointwise''. The convergence result is compared to a similar theorem for the general order multivariate qdg-algorithm, which detects the above singularities ``curvewise''.
reviewed by: Jacek Gilewicz
Mathematics Subject Classification ID: 65B10
zbMATH DE Number: 739436
zbMATH Keywords: quotient-difference algorithm
zbMATH Keywords: qd-algorithm
zbMATH Keywords: multivariate qdg-algorithm
zbMATH Keywords: convergence
zbMATH Keywords: polar singularities
author: Annie Cuyt
MaRDI profile type: Publication
cites work: The QD-algorithm and multivariate Padé-approximants
cites work: Q4072022
full work available at URL: https://doi.org/10.1007/bf01934266
OpenAlex ID: W2004751624
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description: scientific article; zbMATH DE number 739436