Newton-Pade approximations for multivariate functions

We modify Cuyt and Verdonk's approach to multivariate Newton-Pade approximations. Explicit formulas are given for coefficients which can be computed once for given system of nodes, and the linear system of equations to find multivariate Newton-Pade approximants can be written using simple formulas with those coefficients and the Newton series of interpolated function. (C) 2018 Elsevier Inc. All rights reserved.