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, Volume 46, Issue 1, pp 35–51 | Cite as

Hermite interpolation: The barycentric approach

  • C. Schneider
  • W. Werner
Article

Abstract

The barycentric formulas for polynomial and rational Hermite interpolation are derived; an efficient algorithm for the computation of these interpolants is developed. Some new interpolation principles based on rational interpolation are discussed.

AMS Subject Classifications

65D05 41A20 

Key words

Numerical analysis approximation theory interpolation 

Hermite Interpolation: Der baryzentrische Zugang

Zusammenfassung

Es werden baryzentrische Formeln für die Hermitesche polynomiale und rationale Interpolationsaufgabe hergeleitet; darüberhinaus wird ein effizienter Algorithmus zur Berechnung dieser Interpolierenden hergeleitet. Einige neue Interpolationsprinzipien, die auf rationaler Interpolation beruhen, werden diskutiert.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • C. Schneider
    • 1
  • W. Werner
    • 2
  1. 1.Fachbereich Mathematik Johannes Gutenberg-UniversitätMainzFederal Republic of Germany
  2. 2.Außenstelle Künzelsau Fachhochschule HeilbronnKünzelsauFederal Republic of Germany

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