Newton–Padé approximations for multivariate functions

摘要

We modify Cuyt and Verdonk’s approach to multivariate Newton–Padé 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–Padé approximants can be written using simple formulas with those coefficients and the Newton series of interpolated function.