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Bivariate Hermite-Birkhoff interpolation and Vandermonde determinants

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Abstract

The concepts of Vandermonde determinant and confluent Vandermonde determinant are extended to the multidimensional setting by relating them to multivariate interpolation problems. With an approach different from that of other recent papers on this subject, the values of these determinants are computed, recovering and extending the results of those papers.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, University of Zaragoza, Zaragoza, Spain

    Mariano Gasca & José J. Martínez

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  1. Mariano Gasca
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  2. José J. Martínez
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Partially supported by Research Grant PS900121 DGICYT.

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Gasca, M., Martínez, J.J. Bivariate Hermite-Birkhoff interpolation and Vandermonde determinants. Numer Algor 3, 193–199 (1992). https://doi.org/10.1007/BF02141928

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  • DOI: https://doi.org/10.1007/BF02141928

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