Abstract
AbstractAn inverse central ordering of the nodes is proposed for the Newton interpolation formula. This ordering may improve the stability for certain distributions of nodes. For equidistant nodes, an upper bound of the conditioning is provided. This bound is close to the bound of the conditioning in the Lagrange interpolation formula, whose conditioning is the lowest. This ordering is related to a pivoting strategy of a matrix elimination procedure called Neville elimination. The results are illustrated with examples.
Funder
Ministerio de Ciencia, Innovación y Universidades
Gobierno de Aragón
Universidad de Zaragoza
Publisher
Springer Science and Business Media LLC
Cited by
4 articles.
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