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Anti-Gaussian Padé Approximants

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Abstract

This paper gives a synthesis of Padé approximants and anti-Gaussian quadratures. New rational approximants for Stieltjes series have been constructed. In addition, a three term recurrence relation is given for the numerator and denominator, which is useful when the given functional is not defin ite positive.We give the different algebraic properties of these new polynomials, which are similar to those obtained with the Gaussian quadrature formula. We find an easy definition and several relations with Padé approximants. Finally, some numerical results are given in the last section.

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Authors and Affiliations

  1. Laboratoire d'Analyse Numérique et d'Optimisation, UFR IEEA-M3, Université de Lille 1, 59655, Villeneuve d'Ascq Cedex, France

    Gregory Boutry

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  1. Gregory Boutry
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Boutry, G. Anti-Gaussian Padé Approximants. Numerical Algorithms 33, 113–122 (2003). https://doi.org/10.1023/A:1025599518609

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  • DOI: https://doi.org/10.1023/A:1025599518609

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