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The algebra of linear functionals on polynomials,with applications to Padé approximation |
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| Authors: | C. Brezinski P. Maroni |
| Affiliation: | (1) Laboratoire d'Analyse Numérique et d'Optimisation, UFR IEEA-M3, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d'Ascq cedex, France;(2) Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, 4 Place Jussieu, F-75252 Paris cedex 05, France |
| Abstract: | Some results about the algebra of linear functionals on the vector space of complex polynomials are given. These results have applications to Padé-type and Padé approximation. In particular an expression for the relative error is obtained. |
| Keywords: | Orthogonal polynomials Padé approximation |
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