Abstract
We give algorithms for the numerical evaluation of power series. If the series coefficients are rational, thebinary splitting (binsplit) algorithm can be applied for rational arguments and the rectangular schemes for real (full-precision) arguments. As a special case of the binary splitting algorithm, a method for fast radix conversion is described. Finally we describe a technique for the summation of series with alternating coefficients.
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© 2011 Springer Berlin Heidelberg
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Arndt, J. (2011). Numerical evaluation of power series. In: Matters Computational. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14764-7_34
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DOI: https://doi.org/10.1007/978-3-642-14764-7_34
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14763-0
Online ISBN: 978-3-642-14764-7
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