Multivariate generalized inverse vector-valued rational interpolants
type: Item
instance of: scholarly article
title: Multivariate generalized inverse vector-valued rational interpolants
zbMATH Open document ID: 0899.41003
DOI: 10.1016/S0377-0427(97)86514-4
author: Chuanqing Gu
published in: Journal of Computational and Applied Mathematics
publication date: 1998-10-28T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 1084109
zbMATH Keywords: branched continued fractions
zbMATH Keywords: vector-valued interpolation
zbMATH Keywords: bivariate rational approximants
zbMATH Keywords: Samelson inverses
reviewed by: Marcel G. de Bruin
MaRDI profile type: Publication
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full work available at URL: s0377-0427(97)86514-4
OpenAlex ID: W2126157093
Wikidata QID: Q126322137
description: scientific article; zbMATH DE number 1084109