Name
Abstract | ||
|---|---|---|
It is well known that rational interpolation sometimes gives better approximations than polynomial interpolation, especially for large sequences of points, but it is difficult to control the occurrence of poles. In this paper we propose and study a family of barycentric rational interpolants that have no real poles and arbitrarily high approximation orders on any real interval, regardless of the distribution of the points. These interpolants depend linearly on the data and include a construction of Berrut as a special case. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s00211-007-0093-y | Numerische Mathematik |
Keywords | Field | DocType |
high rate,special case,high approximation order,rational interpolation,barycentric rational interpolation,large sequence,real pole,real interval,polynomial interpolation,barycentric rational interpolants,better approximation | Polynomial,Polynomial interpolation,Mathematical analysis,Interpolation,Trilinear interpolation,Numerical analysis,Distribution function,Mathematics,Barycentric coordinate system,Special case | Journal |
Volume | Issue | ISSN |
107 | 2 | 0945-3245 |
Citations | PageRank | References |
60 | 5.69 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael S. Floater | 1 | 1333 | 117.22 |
| Kai Hormann | 2 | 726 | 53.94 |