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A de montessus theorem for vector valued rational interpolants

  • P. R. Graves-Morris
  • E. B. Saff
Convergence Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)

Abstract

A convergence theorem for vector valued Padé approximants (simultaneous Padé approximants) is established. The theorem is a natural extension of the theorem of de Montessus de Ballore for a row sequence of (scalar) Padé approximants. The result is also generalised to the case of vector valued (N-point) rational interpolants.

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • P. R. Graves-Morris
    • 1
  • E. B. Saff
    • 2
  1. 1.Mathematical InstituteUniversity of KentCanterburyEngland
  2. 2.Center for Mathematical ServicesUniversity of South FloridaTampaUSA

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