Padé-Jacobi Approximants
Résumé
We discuss projection based Padé-Jacobi approximants in general and present in particular an exact rational approximation to the Sign function. This serves as vehicle to analyze the behavior of Padé-Jacobi approximants for discontinuous functions. The analysis shows that the Padé-Jacobi ap-proximant is superior in several ways to classic polynomial approximations of discontinuous functions, provided the parameters in the approximations are chosen carefully. Guidelines for this is obtained through the analysis.
Domaines
Analyse numérique [math.NA]
Origine : Fichiers produits par l'(les) auteur(s)
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