The effects of rounding errors in the nodes on barycentric interpolation
Numerical Analysis
2016-03-22 v5
Abstract
We analyze the effects of rounding errors in the nodes on barycentric interpolation. These errors are particularly relevant for the first barycentric formula with the Chebyshev points of the second kind. Here, we propose a method for reducing them.
Keywords
Cite
@article{arxiv.1309.7970,
title = {The effects of rounding errors in the nodes on barycentric interpolation},
author = {Walter F. Mascarenhas and André Pierro de Camargo},
journal= {arXiv preprint arXiv:1309.7970},
year = {2016}
}
Comments
We fixed a few grammar errors and a minor mistake in Theorem 8: 2n + 5 was replaced by 2n + 6