Title
Old and new multidimensional convergence accelerators Old and new multidimensional convergence accelerators
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Source (journal)
Applied numerical mathematics. - Amsterdam
Volume/pages
6(1990) :3 , p. 169-185
ISSN
0168-9274
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
E-info
https://repository.uantwerpen.be/docman/iruaauth/58833b/4c06e3adfa0.pdf
Handle