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Convergence of pade approximants in a non-commutative algebra

Approximation Theory

Part of the Lecture Notes in Mathematics book series (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.

Keywords

  • Convergence Theorem
  • Banach Algebra
  • Continue Fraction
  • Formal Power Series
  • Linear Functional

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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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