On hermite interpolation by Cauchy-Vandermonde systems
The Lagrange formula, the adjoint and the inverse of a Cauchy-Vandermonde matrix
- verfasst von
- G. Mühlbach
- Abstract
For a given Cauchy-Vandermonde system and for given multiple nodes a Lagrange-type formula for the interpolant is derived, interpolating a given function in the sense of Hermite. We give explicit analytic representations of the basic functions in terms of the nodes and prescribed poles. They are used to derive formulas for the entries of the adjoint of the confluent Cauchy-Vandermonde matrix corresponding to the interpolation problem thus providing an explicit representation of its inverse.
- Organisationseinheit(en)
-
Institut für Angewandte Mathematik
- Typ
- Artikel
- Journal
- Journal of Computational and Applied Mathematics
- Band
- 67
- Seiten
- 147-159
- Anzahl der Seiten
- 13
- ISSN
- 0377-0427
- Publikationsdatum
- 20.02.1996
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Computational Mathematics, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1016/0377-0427(94)00116-2 (Zugang:
Offen)
