On certain multivariate Vandermonde determinants whose variables separate
Numerical Analysis
2014-03-12 v3
Abstract
We prove that for almost square tensor product grids and certain sets of bivariate polynomials the Vandermonde determinant can be factored into a product of univariate Vandermonde determinants. This result generalizes the conjecture [Lemma 1, L. Bos et al. (2009), Dolomites Research Notes on Approximation, 2:1-15]. As a special case, we apply the result to Padua and Padua-like points.
Cite
@article{arxiv.1311.6455,
title = {On certain multivariate Vandermonde determinants whose variables separate},
author = {Stefano De Marchi and Konstantin Usevich},
journal= {arXiv preprint arXiv:1311.6455},
year = {2014}
}
Comments
10 pages, 1 figure