The Neville-Aitken formula for rational interpolants with prescribed poles

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • C. Carstensen
  • G. Mühlbach

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Details

OriginalspracheEnglisch
Seiten (von - bis)133-141
Seitenumfang9
FachzeitschriftNumerical algorithms
Jahrgang3
Ausgabenummer1
PublikationsstatusVeröffentlicht - Dez. 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.

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The Neville-Aitken formula for rational interpolants with prescribed poles. / Carstensen, C.; Mühlbach, G.
in: Numerical algorithms, Jahrgang 3, Nr. 1, 12.1992, S. 133-141.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Carstensen C, Mühlbach G. The Neville-Aitken formula for rational interpolants with prescribed poles. Numerical algorithms. 1992 Dez;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 ; Jahrgang 3, Nr. 1. S. 133-141.
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