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Title
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Old and new multidimensional convergence accelerators
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Author
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Abstract
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| 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. |
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Language
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English
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Source (journal)
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Applied numerical mathematics. - Amsterdam
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Publication
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Amsterdam
:
1990
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ISSN
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0168-9274
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DOI
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10.1016/0168-9274(90)90011-4
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Volume/pages
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6
:3
(1990)
, p. 169-185
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ISI
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A1990CT99200003
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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