Error Formulas for Ideal Interpolation
Numerical Analysis
2016-06-21 v3
Abstract
In this paper we study the algebraic structure of error formulas for ideal interpolation. We introduce the so-called "normal" error formulas and prove that the lexicographic order reduced Gr\"obner basis admits such a formula for all ideal interpolation. This formula is a generalization of the "good" error formula proposed by Carl de Boor. Finally, we discuss a Shekhtman's example and give an explicit form of "normal" error formula for this example.
Keywords
Cite
@article{arxiv.1506.05242,
title = {Error Formulas for Ideal Interpolation},
author = {Yihe Gong and Xue Jiang and Zhe Li and Shugong Zhang},
journal= {arXiv preprint arXiv:1506.05242},
year = {2016}
}
Comments
This paper has been withdrawn by the author due to a small mistake in the paper