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An algorithm for computing generalized Euler's transformations of series

Numerische Berechnung verallgemeinerter Euler-Transformationen

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Abstract

An algorithm for computing generalized Euler's transformations of series is established. In comparison with known algorithm, the number of the arithmetic operations results to be slightly reduced. Numerical comparisons with the ε-algorithm are displayed.

Zusammenfassung

Ein Algorithmus für die Berechnung von verallgemeinerten Euler-Transformationen wird vorgelegt. Im Vergleich mit bekannten Algorithmen wurde die Zahl der arithmetischen Operationen etwas vermindert. Numerische Vergleiche mit dem ε-Algorithmus wurden durchgeführt.

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Gabutti, B. An algorithm for computing generalized Euler's transformations of series. Computing 34, 107–116 (1985). https://doi.org/10.1007/BF02259839

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  • DOI: https://doi.org/10.1007/BF02259839

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