Volume 37, pp. 1-22, 2010.
Approximate Fekete points for weighted polynomial interpolation
A. Sommariva and M. Vianello
We compute approximate Fekete points for weighted polynomial interpolation by a recent algorithm based on QR factorizations of Vandermonde matrices. We consider in particular the case of univariate and bivariate functions with prescribed poles or other singularities, which are absorbed in the basis by a weight function. Moreover, we apply the method to the construction of real and complex weighted polynomial filters, where the relevant concept is that of weighted norm.
Full Text (PDF) [673 KB]
approximate Fekete points, weighted polynomial interpolation, prescribed poles, weighted polynomial filters
AMS subject classifications
41A10, 65D05, 65D15, 65E05
Links to the cited ETNA articles
|||Vol. 7 (1998), pp. 124-140 J. Baglama, D. Calvetti, and L. Reichel: Fast Leja points|
|||Vol. 30 (2008), pp. 377-397 L. P. Bos and N. Levenberg: On the calculation of approximate Fekete points: the univariate case|