The Neville-Aitken formula for rational interpolants with prescribed poles

Research output: Contribution to journal › Article › Research › peer review

Authors

  • C. Carstensen
  • G. Mühlbach

Research Organisations

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Details

Original languageEnglish
Pages (from-to)133-141
Number of pages9
JournalNumerical algorithms
Volume3
Issue number1
Publication statusPublished - Dec 1992

Abstract

Using a polynomial description of rational interpolation with prescribed poles a simple purely algebraic proof of a Neville-Aitken recurrence formula for rational interpolants with prescribed poles is presented. It is used to compute the general Cauchy-Vandermonde determinant explicitly in terms of the nodes and poles involved.

Keywords

    65 D 05, AMS 41 A 05, Cauchy-Vandermonde determinants, Interpolation, Neville-Aitken algorithm, prescribed poles, rational functions

ASJC Scopus subject areas

Cite this

The Neville-Aitken formula for rational interpolants with prescribed poles. / Carstensen, C.; Mühlbach, G.
In: Numerical algorithms, Vol. 3, No. 1, 12.1992, p. 133-141.

Research output: Contribution to journal › Article › Research › peer review

Carstensen C, Mühlbach G. The Neville-Aitken formula for rational interpolants with prescribed poles. Numerical algorithms. 1992 Dec;3(1):133-141. doi: 10.1007/BF02141923
Carstensen, C. ; Mühlbach, G. / The Neville-Aitken formula for rational interpolants with prescribed poles. In: Numerical algorithms. 1992 ; Vol. 3, No. 1. pp. 133-141.
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