Abstract
In [1] we have given an extension of Horner’s algorithm for the evaluation of m-variate polynomials and their derivatives. The schemes of computation were represented graphically by trees. In this paper we present a short description of the algorithm and give further examples of application.
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References
Carnicer, J. M.; Gasca, M.: “Evaluation of multivariate polynomials and their derivatives”. To appear in Mathematics of Computation January 1990
Gasca, M.; Maeztu, J. I.: “On Lagrange and Hermite interpolation in R”. Numerische Mathematik 39 (1982), 1–14.
Knuth, D.: The art of computer programming Addison-Wesley, 1975.
Micchelli, C. A.: “Algebraic aspects of interpolation.”. Approximation Theory P.S.A.M. vol 36, C. de Boor editor, Amer. Math. Soc. 1986.
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© 1989 Birkhäuser Verlag Basel
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Carnicer, J.M., Gasca, M. (1989). On the Evaluation of Multivariate Lagrange Formulae. In: Multivariate Approximation Theory IV. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 90. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7298-0_7
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DOI: https://doi.org/10.1007/978-3-0348-7298-0_7
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7300-0
Online ISBN: 978-3-0348-7298-0
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