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On the Convergence of General Order Multivariate Padé-Type Approximants

✍ Scribed by J. Abouir; A. Cuyt; P. Gonzalez-Vera; R. Orive

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
474 KB
Volume
86
Category
Article
ISSN
0021-9045

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✦ Synopsis

In previous papers the convergence of sequences of rectangular'' multivariate Pade -type approximants was studied. In other publications definitions of triangular'' multivariate Pade -type approximants were given. We extend these results to the general order definition where the choice of the denominator polynomial is completely free. Also we develop convergence theorems and we distinguish between results obtained in polydiscs and in multivariate balls. The numerical examples section illustrates this difference and compares the obtained results with the approximation power of general order multivariate Pade approximants.

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