Stability of barycentric interpolation formulas

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...

Full description

Bibliographic Details
Main Authors: Webb, M, Trefethen, L, Gonnet, P
Format: Report
Published: SISC J. Sci. Comp 2011