The general Neville-Aitken-algorithm and some applications

authored by

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.

Organisation(s)

Institute of Applied Mathematics

Type

Article

Journal

Numerische Mathematik

Volume

31

Pages

97-110

No. of pages

14

ISSN

0029-599X

Publication date

03.1978

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Computational Mathematics, Applied Mathematics

Electronic version(s)

https://doi.org/10.1007/BF01396017 (Access: Closed)