Some new aspects of rational interpolation

Author:

Schneider Claus,Werner Wilhelm

Abstract

A new algorithm for rational interpolation based on the barycentric formula is developed; the barycentric representation of the rational interpolation function possesses various advantages in comparison with other representations such as continued fractions: it provides, e.g., information concerning the existence and location of poles of the interpolant.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference17 articles.

1. A.-L. Cauchy, "Sur la formule de Lagrange relative à l’interpolation," Cours d’Analyse de l’Ecole Royale Polytéchnique (Analyse Algébrique), Note V, Paris, 1821, pp. 429-433, reprinted in: Oeuvres, sér. 2, Vol. III, 1897.

2. Efficient reliable rational interpolation;Graves-Morris, P. R.,1981

3. Pure and Applied Mathematics;Henrici, Peter,1974

4. L. Kronecker, "Zur Theorie der Elimination einer Variablen aus zwei algebraischen Gleichungen," Monatsher. Königl. Preuss. Akad. Wiss. Berlin, 1881, pp. 535-600.

5. Tschebyscheff-Approximationen in kleinen Intervallen. II. Stetigkeitssätze für gebrochen rationale Approximationen;Maehly, H.;Numer. Math.,1960

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