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An acceleration property of theE-algorithm for alternate sequences |
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| Authors: | P Mortreux M Prévost |
| Institution: | (1) Laboratoire d'Analyse Numérique et d'Optimisation, Université des sciences et technologies de Lille, UFR d'IEEA-bat M3, 59655 Villeneuve d'Ascq-Cédex, France;(2) Université du Littoral, Laboratoire de Mathématiques Appliquées, Bât, Poincaré, Centre Universitaire de la Mi-Voix, BP 699, 62228 Calais Cédex, France |
| Abstract: | We prove a convergence acceleration result by theE-algorithm for sequences whose error has an asymptotic expansion on the scale of comparison for which a determinantal relation holds. This result is generalized to the vector case. Moreover we prove a result which contains an acceleration property for columns and diagonals of theE array. This result is applied to some alternating series. |
| Keywords: | Extrapolation E-algorithm convergence acceleration |
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