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はじめに
工事中です。
参考文献
- D.フラナリー著、の森とアンドリュー少年、シュプリンガー・ジャパン、2008、ISBN 978-4-431-10008-9
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- A.Cuyt, V.Brevik Petersen, B.Verdonk, H.Waadeland, W.B.Jones, Handbook of Continued Fractions for Special Functions, Springer, 2008, ISBN 978-1-4020-6948-2
- L.Lorentzen, H.Waadeland, Continued Fractions, Second Edition, Vol.1: Convergnece Theory, World Scientific Press, 2008, ISBN 978-90-78677-07-9
- L.A.Lyusternik, A.R.Yanpol'skii Eds., Mathematical Analysis, Functions, Limits, Series, Continued Fractions, Pergamon Press, 1965, ISBN
- S.Khrushchev, Orthogonal Polynomials, and Continued Fractions -From Euler's Point of View-, Cambridge University Press, 2008, ISBN 978-0-521-85419-1
- G.Dahlquist, Å.Björk, Numerical Methods in Scientific Computing, volume 1, SIAM, 2008, ISBN 978-0-898716-44-3
- http://numbers.computation.free.fr/Constants/Sqrt2/sqrt2.html
- http://numbers.computation.free.fr/Constants/TinyPrograms/tinycodes.html
- http://homepage3.nifty.com/y_sugi/cf/cf45.htm
- J.Gerlach, Accelerated Convergence in Newton's Method, SIAM Rev., 36(1994), no.2, pp272--276
- W.F.Ford, J.A.Pennline, Accelerated Convergence in Newton's Method, SIAM Rev., 38(1996), no.4, pp658--659
- B.Kalantari, I.Kalantari, High Order iterative Methods for Approximating Square Roots, BIT, 36(1996), no.2, pp395--399
- ジョセフ・H・シルヴァーマン著、鈴木治郎訳、はじめての数論 原著第3版:発見と証明の大航海、ピアソン・エデュケーション、2007, ISBN 978-4-89471-492-2
- Dang-Khoa Do, Spigot Algorithm and Root Computing, Reliable Computing, 7(2001), pp247--273
- Dang-Khoa Do, Spigot Algorithm and Reliable Computation of Natural Logarithm, Reliable Computing, 10(2004), pp489--500
- 藤野清次、数値計算の基礎--数値解法を中心に--、サイエンス社、1998、ISBN 4-7819-0861-6
- I.K.Argyros, Convergence and Applications of Newton-type Iterations, Springer, 2008, ISBN 978-0-387-72741-7
- I.K.Argyros, Newton Methods, Nova Science Publishers, Inc., 2005, ISBN 978-1-59454-052-3
- 土倉保、自然数の開平とペル方程式【會田安明】、数学セミナー、41(2003), no.6, pp46--49
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