Abstract
We produce a self contained account of the relationship between the Gaussian arithmeticgeometric mean iteration and the fast computation of elementary functions. A particularly pleasant algorithm for π is one of the by-products.
Received by the editors February 8, 1983, and in revised form November 21, 1983. This research was partially sponsored by the Natural Sciences and Engineering Research Council of Canada.
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© 2004 Springer Science+Business Media New York
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Borwein, J.M., Borwein, P.B. (2004). The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions. In: Pi: A Source Book. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4217-6_56
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DOI: https://doi.org/10.1007/978-1-4757-4217-6_56
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1915-1
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