Polynomial interpolation in several variables

  • Mariano Gasca
  • Thomas Sauer
Article

DOI: 10.1023/A:1018981505752

Cite this article as:
Gasca, M. & Sauer, T. Advances in Computational Mathematics (2000) 12: 377. doi:10.1023/A:1018981505752

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.

interpolation multivariate polynomials Newton approach divided differences Gröbner bases H-bases 

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Mariano Gasca
    • 1
  • Thomas Sauer
    • 2
  1. 1.Department of Applied MathematicsUniversity of ZaragozaZaragozaSpain E-mail:
  2. 2.Mathematisches InstitutUniversität Erlangen–NürnbergErlangenGermany E-mail:

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