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Outlines of Pade Approximation

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Computational Aspects of Complex Analysis

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 102))

Abstract

In the first section Padé approximants are defined and some properties are given. The second section deals with their algebraic properties and, in particular, with their connection to orthogonal polynomials and quadrature methods. Recursive schemes for computing sequences of Padé approximants are derived. The third section is devoted to some results concerning the convergence problem. Some applications and extensions are given in the last section.

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Author information

Authors and Affiliations

  1. University of Lille I, France

    Claude Brezinski

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  1. Claude Brezinski
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Editor information

Editors and Affiliations

  1. University of Bonn, West Germany

    H. Werner  & H. J. Bünger  & 

  2. Universitaire Instelling Antwerpen, Belgium

    L. Wuytack

  3. Jet Propulsion Laboraories, Pasadena, Calif., USA

    E. Ng

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© 1983 D. Reidel Publishing Company

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Brezinski, C. (1983). Outlines of Pade Approximation. In: Werner, H., Wuytack, L., Ng, E., Bünger, H.J. (eds) Computational Aspects of Complex Analysis. NATO Advanced Study Institutes Series, vol 102. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7121-9_1

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  • DOI: https://doi.org/10.1007/978-94-009-7121-9_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7123-3

  • Online ISBN: 978-94-009-7121-9

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