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Polynomial interpolation in several variables

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Abstract

This is a survey of the main results on multivariate polynomial interpolation in the last twenty-five years, a period of time when the subject experienced its most rapid development. The problem is considered from two different points of view: the construction of data points which allow unique interpolation for given interpolation spaces as well as the converse. In addition, one section is devoted to error formulas and another to connections with computer algebra. An extensive list of references is also included.

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  1. Department of Applied Mathematics, University of Zaragoza, E-50009, Zaragoza, Spain E-mail:

    Mariano Gasca

  2. Mathematisches Institut, Universität Erlangen–Nürnberg, Bismarckstraße 1 1/2, D-91054, Erlangen, Germany E-mail:

    Thomas Sauer

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  1. Mariano Gasca
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Gasca, M., Sauer, T. Polynomial interpolation in several variables. Advances in Computational Mathematics 12, 377–410 (2000). https://doi.org/10.1023/A:1018981505752

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