On the approximation order and numerical stability of local Lagrange interpolation by polyharmonic splines. (English) Zbl 1040.41002
Haussmann, Werner (ed.) et al., Modern developments in multivariate approximation. Proceedings of the 5th international conference, Witten-Bommerholz, Germany, September 22–27, 2002. Basel: Birkhäuser (ISBN 3-7643-2195-4/hbk). ISNM, Int. Ser. Numer. Math. 145, 153-165 (2003).
In this text, approximation order estimates for radial basis function interpolation are addressed. For a class of radial basis functions called polyharmonic splines, the approximation order is provided. Also, invariance properties of condition numbers of the Lagrange interpolation matrices are considered.
For the entire collection see [Zbl 1027.00021].
For the entire collection see [Zbl 1027.00021].
Reviewer: Martin D. Buhmann (Gießen)
MSC:
| 41A15 | Spline approximation |
