Pyramid algorithms for barycentric rational interpolation Academic Article uri icon

abstract

  • © 2015 Elsevier B.V. All rights reserved. We present a new perspective on the Floater-Hormann interpolant. This interpolant is rational of degree (n,d), reproduces polynomials of degree d, and has no real poles. By casting the evaluation of this interpolant as a pyramid algorithm, we first demonstrate a close relation to Neville's algorithm. We then derive an O(nd) algorithm for computing the barycentric weights of the Floater-Hormann interpolant, which improves upon the original O(nd2) construction.

author list (cited authors)

  • Hormann, K., & Schaefer, S.

citation count

  • 4

publication date

  • February 2016