Geodesic
Electrostatics and ghost poles in near best fixed pole rational interpolation
Electronic transactions on numerical analysis, Tome 26 (2007), pp. 439-452.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider points that are near best for rational interpolation with prescribed poles in the same sense that Chebyshev points are near best for polynomial interpolation. It is shown that these interpolation points satisfy an electrostatic equilibrium problem involving the fixed poles and certain `ghost' poles. This problem is closely related to Lam$\acute e$ equations with residues of mixed sign.
Classification : 33C45, 42C05
Keywords: rational interpolation, Chebyshev weight, zeros, potential theory 
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     author = {Van Deun, Joris},
     title = {Electrostatics and ghost poles in near best fixed pole rational interpolation},
     journal = {Electronic transactions on numerical analysis},
     pages = {439--452},
     publisher = {mathdoc},
     volume = {26},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2007__26__a2/}
}
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Van Deun, Joris. Electrostatics and ghost poles in near best fixed pole rational interpolation. Electronic transactions on numerical analysis, Tome 26 (2007), pp. 439-452. http://geodesic.mathdoc.fr/item/ETNA_2007__26__a2/