The effects of rounding errors in the nodes on barycentric interpolation
arXiv:1309.797016 citationsh-index: 12
Originality Synthesis-oriented
AI Analysis
For numerical analysts working on interpolation, this work addresses a specific source of error in a known method.
The paper analyzes rounding errors in nodes for barycentric interpolation, especially for the first barycentric formula with Chebyshev points of the second kind, and proposes a method to reduce these errors.
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.