The effects of rounding errors in the nodes on barycentric interpolation

2013/09/30 by Walter F. Mascarenhas, Mascarenhas, Walter F., André Pierro de Camargo +1
Computer Science · Mathematics · #Digital Filter Design and Implementation #FOS: Mathematics #Mathematical functions and polynomials #Numerical Analysis (math.NA) #Numerical Methods and Algorithms

paper · pdf · doi:10.48550/arxiv.1309.7970

openalex publication_date 2013/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

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