Error formulas for multivariate rational interpolation and Pade´approximation

摘要

The univariate error formulas for Pade´approximants and rational interpolants, which are repeated in Section 2, are generalized to the multivariate case in Section 4. We deal with “general order” multivariate Pade´approximants and rational interpolants, where the numerator and denominator polynomials as well as the equations expressing the approximation order, can be chosen by the user of these multivariate rational functions.