Abstract
We have seen that there is a great variation in the speed of convergence of series or sequences. Some are too slowly convergent to be summed directly on the fastest computer. This is the case of the logarithmic series
in which a crude estimate for the remainder after n terms is n− so that 2 × 106 terms would be needed to get a value of log 2 correct to 6D.
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© 1979 Birkhäuser Verlag, Basel
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Todd, J. (1979). The Acceleration Processes of Aitken and Euler. In: Basic Numerical Mathematics. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 14. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7229-4_6
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DOI: https://doi.org/10.1007/978-3-0348-7229-4_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7231-7
Online ISBN: 978-3-0348-7229-4
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