Exponential convergence of a linear rational interpolant between transformed Chebyshev points

Author:

Baltensperger Richard,Berrut Jean-Paul,Noël Benjamin

Abstract

In 1988 the second author presented experimentally well-conditioned linear rational functions for global interpolation. We give here arrays of nodes for which one of these interpolants converges exponentially for analytic functions

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference14 articles.

1. [Bal-Ber1] Baltensperger, R. and Berrut, J.-P.: The errors in calculating the pseudospectral differentiation matrices for Chebyshev-Gauss-Lobatto points, to appear in Comput. Math. Applic.

2. [Bal-Ber2] Baltensperger, R. and Berrut, J.-P.: The linear rational collocation method, submitted for publication.

3. Rational functions for guaranteed and experimentally well-conditioned global interpolation;Berrut, J.-P.;Comput. Math. Appl.,1988

4. Harmonic functions in domains with multiple boundary points;Green, John W.;Amer. J. Math.,1939

5. Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval;Berrut, J.-P.;Comput. Math. Appl.,1997

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