Multivariate generalized inverse vector-valued rational interpolants (Q1372081)
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scientific article; zbMATH DE number 1084109
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multivariate generalized inverse vector-valued rational interpolants |
scientific article; zbMATH DE number 1084109 |
Statements
Multivariate generalized inverse vector-valued rational interpolants (English)
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28 October 1998
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Using the methods and definitions due to \textit{P. R. Graves-Morris} [Numer. Math. 42, 331-348 (1983; Zbl 0525.41014) and IMA J. Numer. Anal. 4, 209-224 (1984; Zbl 0558.41019)] the author shows that the bivariate vector-valued rational interpolants introduced by \textit{A. M. Cuyt} and \textit{B. M. Verdonk} [Computing 34, 41-61 (1985; Zbl 0553.41004)] have the fundamental properties (cf. Graves-Morris) that should hold for such interpolants. The author uses the expression `the convergence of' where he means `the convergents of' a branched continued fraction.
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branched continued fractions
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vector-valued interpolation
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bivariate rational approximants
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Samelson inverses
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