Comparisons between vector and matrix padé approximants

Abstract

In this paper, we compare the degrees and the orders of approximation of vector and matrix Padé approximants for series with matrix coefficients. It is shown that, in this respect, vector Padé approximants have better properties. Then, matrix–vector Padé approximants are defined and constructed. Finally, matrix Padé approximants are related to the method of moments. © 2003 Taylor & Francis Group, LLC.