Exponential convergence of a linear rational interpolant between transformed Chebyshev points

Authors
Baltensperger, R Berrut, JP Noel, B
Citation
R. Baltensperger et al., Exponential convergence of a linear rational interpolant between transformed Chebyshev points, MATH COMPUT, 68(227), 1999, pp. 1109-1120
Citations number
15
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718 → ACNP
Volume
68
Issue
227
Year of publication
1999
Pages
1109 - 1120
Database
ISI
SICI code
0025-5718(199907)68:227<1109:ECOALR>2.0.ZU;2-1
Abstract
In 1988 the second author presented experimentally well-conditioned linear rational functions for global interpolation. We give here arrays of nodes f or which one of these interpolants converges exponentially for analytic fun ctions.