  In this paper, we study how to quickly compute the <-minimal monomial
interpolating basis for a multivariate polynomial interpolation problem. We
address the notion of "reverse" reduced basis of linearly independent
polynomials and design an algorithm for it. Based on the notion, for any
monomial ordering we present a new method to read off the <-minimal monomial
interpolating basis from monomials appearing in the polynomials representing
the interpolation conditions.
