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...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
Published: |
2012
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