Numerical Differentiation and the Solution of Multidimensional Vandermonde Systems

Publisher Website
Google Scholar
Abstract
We define multidimensional Vandermonde matrices (MV) to be certain submatrices of Kronecker products of standard Vandermonde matrices. These MV matrices appear naturally in multidimensional problems of polynomial interpolation. An explicit algorithm is produced to solve systems of linear equations with MV matrices of coefficients. This is an extension of work of Stenger for the two-dimensional case. Numerical results for three-dimensional numerical differentiation are given.

This publication has 1 reference indexed in Scilit: