ZIB

Treffer pro Seite

Treffer 1 - 1 | 1 Treffer

Sortierung

Digitale Medien

Rational interpolation through the optimal attachment of poles to the interpolating polynomial (2000)

Berrut, Jean-Paul ; Mittelmann, Hans D.

Springer

Numerical algorithms 23 (2000), S. 315-328

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 1572-9265

Schlagwort(e): interpolation ; rational interpolation ; optimal interpolation ; 65D05 ; 41A05 ; 41A20

Quelle: Springer Online Journal Archives 1860-2000

Thema: Informatik , Mathematik

Notizen: Abstract After recalling some pitfalls of polynomial interpolation (in particular, slopes limited by Markov's inequality) and rational interpolation (e.g., unattainable points, poles in the interpolation interval, erratic behavior of the error for small numbers of nodes), we suggest an alternative for the case when the function to be interpolated is known everywhere, not just at the nodes. The method consists in replacing the interpolating polynomial with a rational interpolant whose poles are all prescribed, written in its barycentric form as in [4], and optimizing the placement of the poles in such a way as to minimize a chosen norm of the error.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1019168504808

Permalink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

Treffer 1 - 1 | 1 Treffer