Publication
Title
Old and new multidimensional convergence accelerators
Author
Abstract
In the past some multidimensional convergence accelerators have been studied by Levin [13], by Albertsen, Jacobsen and SØrensen [1] and by the author [5]. We show here that all these multidimensional convergence accelerators are particular cases of a whole class of multidimensional convergence accelerators. The common underlying principle is that they can be considered as multivariate Padé approximants for a multivariate function that is different for different algorithms. Since we work in a very general framework, we are able to introduce a number of new multidimensional convergence accelerators and generalize them by using multivariate rational Hermite interpolants instead of multivariate Padé approximants.
Language
English
Source (journal)
Applied numerical mathematics. - Amsterdam
Publication
Amsterdam : 1990
ISSN
0168-9274
Volume/pages
6:3(1990), p. 169-185
ISI
A1990CT99200003
Full text (Publishers DOI)
Full text (publishers version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 05.04.2013
Last edited 06.05.2017
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