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Explicit Algebraic Nth Order Approximations to PI

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Approximation Theory and Spline Functions

Part of the book series: NATO ASI Series ((ASIC,volume 136))

Abstract

We present a family of algorithms for computing pi which converge with order m (m any integer larger than one). Details are given for two, three and seven.

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References

  1. Borwein, J. M., and Borwein, P. B., “Cubic and higher order algorithms for π”, to appear, Canad. Math. Bull.

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© 1984 D. Reidel Publishing Company

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Borwein, J.M., Borwein, P.B. (1984). Explicit Algebraic Nth Order Approximations to PI. In: Singh, S.P., Burry, J.W.H., Watson, B. (eds) Approximation Theory and Spline Functions. NATO ASI Series, vol 136. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6466-2_12

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  • DOI: https://doi.org/10.1007/978-94-009-6466-2_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6468-6

  • Online ISBN: 978-94-009-6466-2

  • eBook Packages: Springer Book Archive

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