Vector Padé-Type Approximants and Vector Padé Approximants

Abstract

The aim of this paper is to define vector Padé-type approximants and vector Padé approximants following the same ideas as in the scalar case. This approach will be possible using Clifford's algebra structures. Vector Padé approximants will be derived from the theory of formal vector orthogonal polynomials. Connections between generalised inverse Padé approximants of Graves-Morris and vector-valued Padé approximants of Roberts will be given. New results will be proved. © 1999 Academic Press.