Geodesic
A new algorithm for calculating Pade approximants and its Matlab implementation
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 10 (2011), pp. 99-107

Voir la notice de l'article provenant de la source Math-Net.Ru

A new algorithm for calculating a Pade approximant is proposed. The algorithm is based on the choice of the Pade approximant's denominator of least degree. It is shown that the new algorithm does not lead to the appearance of the Froissart doublets in contrast to available procedures for calculating Pade approximants in Maple and Mathematica.
Mots-clés : Pade approximant, Froissart doublets
Keywords: Pade–Laplace method, ill-posed problem. 
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     author = {O. L. Ibryaeva},
     title = {A new algorithm for calculating {Pade} approximants and its {Matlab} implementation},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {99--107},
     publisher = {mathdoc},
     number = {10},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2011_10_a10/}
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O. L. Ibryaeva. A new algorithm for calculating Pade approximants and its Matlab implementation. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 10 (2011), pp. 99-107. http://geodesic.mathdoc.fr/item/VYURU_2011_10_a10/