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Convergence of pade approximants in a non-commutative algebra

  • Approximation Theory
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  • First Online:
Approximation and Optimization

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1354))

Abstract

Properties of convergence of Padé approximants [n+k+1/k]f are proved by using theorems of convergence of non-commutative continued fractions.

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Author information

Authors and Affiliations

  1. Université de Lille Flandres Artois, Laboratoire d'Analyse numérique-Bât M3, 59655, Villeneuve D'ascq-Cedex

    André Draux

Authors
  1. André Draux
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Editor information

Juan Alfredo Gómez-Fernandez Francisco Guerra-Vázquez Guillermo López-Lagomasino Miguel A. Jiménez-Pozo

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© 1988 Springer-Verlag

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Draux, A. (1988). Convergence of pade approximants in a non-commutative algebra. In: Gómez-Fernandez, J.A., Guerra-Vázquez, F., López-Lagomasino, G., Jiménez-Pozo, M.A. (eds) Approximation and Optimization. Lecture Notes in Mathematics, vol 1354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089588

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  • DOI: https://doi.org/10.1007/BFb0089588

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50443-6

  • Online ISBN: 978-3-540-46005-3

  • eBook Packages: Springer Book Archive

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