We prove that for almost square tensor product grids and certain sets of bivariate polynomials the Vandermonde determinantcan be factored into a product of univariate Vandermonde determinants. This result generalizes the conjecture[3,Lemma1]. As a special case, we apply the result to Padua and Padua-like points.
On certain multivariate Vandermonde determinants whose variables separate
DE MARCHI, STEFANO;
2014
Abstract
We prove that for almost square tensor product grids and certain sets of bivariate polynomials the Vandermonde determinantcan be factored into a product of univariate Vandermonde determinants. This result generalizes the conjecture[3,Lemma1]. As a special case, we apply the result to Padua and Padua-like points.
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