On interpolation by radial polynomials

Author: Boor, Carl

Source: Advances in Computational Mathematics, Volume 24, Numbers 1-4, January 2006 , pp. 143-153(11)

Publisher: Springer

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Abstract:

A lemma of Micchelli's, concerning radial polynomials and weighted sums of point evaluations, is shown to hold for arbitrary linear functionals, as is Schaback's more recent extension of this lemma and Schaback's result concerning interpolation by radial polynomials. Schaback's interpolant is explored.

Keywords: interpolation; multivariate; polynomial

Document Type: Research Article

DOI: http://dx.doi.org/10.1007/s10444-004-7630-3

Publication date: January 1, 2006

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