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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Exponential convergence
of a linear rational interpolant
between transformed Chebyshev points


Authors: Richard Baltensperger, Jean-Paul Berrut and Benjamin Noël
Journal: Math. Comp. 68 (1999), 1109-1120
MSC (1991): Primary 65D05, 41A20, 41A25
Published electronically: February 19, 1999
MathSciNet review: 1642809
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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


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Additional Information

Richard Baltensperger
Affiliation: Institut de Mathématiques, Université de Fribourg, Pérolles, CH-1700 Fribourg, Switzerland
Email: richard.baltensperger@unifr.ch

Jean-Paul Berrut
Affiliation: Institut de Mathématiques, Université de Fribourg, Pérolles, CH-1700 Fribourg, Switzerland
Email: jean-paul.berrut@unifr.ch

Benjamin Noël
Affiliation: Institut de Mathématiques, Université de Fribourg, Pérolles, CH-1700 Fribourg, Switzerland

DOI: http://dx.doi.org/10.1090/S0025-5718-99-01070-4
PII: S 0025-5718(99)01070-4
Keywords: Interpolation, rational interpolation, linear interpolation, exponential convergence
Received by editor(s): February 10, 1998
Published electronically: February 19, 1999
Article copyright: © Copyright 1999 American Mathematical Society