Stability of Barycentric Interpolation Formulas for Extrapolation.

The barycentric interpolation formula defines a stable algorithm for evaluation at points in [-1, 1] of polynomial interpolants through data on Chebyshev grids. Here it is shown that for evaluation at points in the complex plane outside [-1, 1], the algorithm becomes unstable and should be replaced...

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Bibliographic Details
Main Authors: Webb, M, Trefethen, L, Gonnet, P
Format: Journal article
Language:English
Published: 2012