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Bigradients, Hankel determinants and the Newton-Padé table

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Abstract

In [9], Warner introduced generalized bigradients in the study of the Newton-Padé table. In this paper we introduce generalized Hankel determinants and derive, using the framework of Newton-Padé approximation, a relationship between these generalized Hankel determinants and generalized bigradients. This generalizes a determinantal identity obtained by Householder and Stewart [7, p. 136].

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Authors and Affiliations

  1. Department of Mathematics, University of Antwerp, Wilrijk, Belgium

    Guido Claessens

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  1. Guido Claessens
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Claessens, G. Bigradients, Hankel determinants and the Newton-Padé table. Aeq. Math. 19, 104–112 (1979). https://doi.org/10.1007/BF02189851

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  • DOI: https://doi.org/10.1007/BF02189851

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