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Intertwining unisolvent arrays for multivariate Lagrange interpolation

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Abstract

Generalizing a classical idea of Biermann, we study a way of constructing a unisolvent array for Lagrange interpolation in Cn+m out of two suitably ordered unisolvent arrays respectively in Cn and Cm. For this new array, important objects of Lagrange interpolation theory (fundamental Lagrange polynomials, Newton polynomials, divided difference operator, vandermondian, etc.) are computed.

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Authors and Affiliations

  1. Laboratoire de Mathématiques E. Picard, Université Paul Sabatier, 31062, Toulouse Cedex 4, France

    Jean-Paul Calvi

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  1. Jean-Paul Calvi
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Correspondence to Jean-Paul Calvi.

Additional information

Communicated by T. Sauer

AMS subject classification

41A05, 41A63

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Calvi, JP. Intertwining unisolvent arrays for multivariate Lagrange interpolation. Adv Comput Math 23, 393–414 (2005). https://doi.org/10.1007/s10444-004-1840-6

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  • DOI: https://doi.org/10.1007/s10444-004-1840-6

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