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A Newton formula for generalized Berzolari-Radon sets

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Abstract

We introduce an extension of the Newton formula for bivariate generalized Berzolari-Radon sets and suggest a generalization of the divided differences for that kind of sets. We apply this formula to two bivariate problems where the nodes are distributed on lines or concentric circles respectively. Some examples are provided.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada/IUMA, Universidad de Zaragoza, Pedro Cerbuna 12, 50009, Zaragoza, Spain

    J. M. Carnicer

  2. Departamento de Matemática Aplicada, Universidad de Zaragoza, Carretera de Cuarte s/n, 22071, Huesca, Spain

    C. Godés

Authors
  1. J. M. Carnicer
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  2. C. Godés
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Corresponding author

Correspondence to J. M. Carnicer.

Additional information

Communicated by: Tomas Sauer

Partially supported by the Spanish Research Grant MTM2012-31544 and by Gobierno de Aragón and Fondo Social Europeo.

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Carnicer, J.M., Godés, C. A Newton formula for generalized Berzolari-Radon sets. Adv Comput Math 41, 373–386 (2015). https://doi.org/10.1007/s10444-014-9362-3

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  • DOI: https://doi.org/10.1007/s10444-014-9362-3

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