Exponential convergence of a linear rational interpolant between transformed Chebyshev points
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- by Richard Baltensperger, Jean-Paul Berrut and Benjamin Noël PDF
- Math. Comp. 68 (1999), 1109-1120 Request permission
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 functionsReferences
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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
- Received by editor(s): February 10, 1998
- Published electronically: February 19, 1999
- © Copyright 1999 American Mathematical Society
- Journal: Math. Comp. 68 (1999), 1109-1120
- MSC (1991): Primary 65D05, 41A20, 41A25
- DOI: https://doi.org/10.1090/S0025-5718-99-01070-4
- MathSciNet review: 1642809