Vandermonde matrices on integer nodes

Summary.

This paper deals with Vandermonde matrices $\widetilde{V}$ whose nodes are the first $n$ integer numbers. We give an analytic factorization of such matrices and explicit formulas for the entries of their inverses, and explore their computational issues. We also give asymptotic estimates of the Frobenius norm of both $\widetilde{V}$ and its inverse.