The general Neville-Aitken-algorithm and some applications

verfasst von

G. Mühlbach

Abstract

In this note we will present the most general linear form of a Neville-Aitken-algorithm for interpolation of functions by linear combinations of functions forming a Čebyšev-system. Some applications are given. Expecially we will give simple new proofs of the recurrence formula for generalized divided differences [5] and of the author's generalization of the classical Neville-Aitkena-algorithm[8]applying to complete Čebyšev-systems. Another application of the general Neville-Aitken-algorithm deals with systems of linear equations. Also a numerical example is given.

Organisationseinheit(en)

Institut für Angewandte Mathematik

Typ

Artikel

Journal

Numerische Mathematik

Band

31

Seiten

97-110

Anzahl der Seiten

14

ISSN

0029-599X

Publikationsdatum

03.1978

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Computational Mathematics, Angewandte Mathematik

Elektronische Version(en)

https://doi.org/10.1007/BF01396017 (Zugang: Geschlossen)