Geodesic
Approximate Fekete points for weighted polynomial interpolation
Electronic transactions on numerical analysis, Tome 37 (2010), pp. 1-22
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.
Classification : 41A10, 65D05, 65D15, 65E05
Keywords: approximate fekete points, weighted polynomial interpolation, prescribed poles, weighted polynomial filters 
@article{ETNA_2010__37__a25,
     author = {Sommariva,  A. and Vianello,  M.},
     title = {Approximate {Fekete} points for weighted polynomial interpolation},
     journal = {Electronic transactions on numerical analysis},
     pages = {1--22},
     year = {2010},
     volume = {37},
     zbl = {1192.41002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2010__37__a25/}
}
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AU  - Vianello,  M.
TI  - Approximate Fekete points for weighted polynomial interpolation
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EP  - 22
VL  - 37
UR  - http://geodesic.mathdoc.fr/item/ETNA_2010__37__a25/
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%A Vianello,  M.
%T Approximate Fekete points for weighted polynomial interpolation
%J Electronic transactions on numerical analysis
%D 2010
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%U http://geodesic.mathdoc.fr/item/ETNA_2010__37__a25/
%G en
%F ETNA_2010__37__a25
Sommariva,  A.; Vianello,  M. Approximate Fekete points for weighted polynomial interpolation. Electronic transactions on numerical analysis, Tome 37 (2010), pp. 1-22. http://geodesic.mathdoc.fr/item/ETNA_2010__37__a25/