Inversion of Vandermonde-like matrices
Let {x(mu)}(mu=0,..., n) be a set of distinct nodes, and let {p(n)}(ngreater than or equal to0) be a sequence of polynomials, deg p(n) = n, whose elements satisfy a three- term recurrence relation. We derive explicit representations for the inverse of a Vandermonde- like matrix V-n = (p(nu)(x(mu)))(mu,nu= 0,...,n) and present some numerical results.
vandermonde-like matrix three-term recurrence divided differences associated polynomials clenshaw polynomials orthogonal polynomials