Computing near-best fixed pole rational interpolants

We study rational interpolation formulas on the interval [-1, 1] for a given set of real or complex conjugate poles outside this interval. Interpolation points which are near-best in a Chebyshev sense were derived in earlier work. The present paper discusses several computation aspects of the interpolation points and the corresponding interpolants. We also study a related set of points (that includes the end points), which is more suitable for applications in rational spectral methods. Some examples are given at the end of this paper. (C) 2010 Elsevier B.V. All rights reserved.