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Convergence acceleration for continued fractions K(an/1) with lim an=0

Part of the Lecture Notes in Mathematics book series (LNM,volume 932)

Keywords

  • Complex Number
  • Analytic Theory
  • Convergence Property
  • Continue Fraction
  • Limit Periodic

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References

  1. J. Gill, Modifying Factors for Sequences of Linear Fractional Transformations, K. Norske Vidensk. Selsk. Skr. (1978), No. 3, 1–7.

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  2. J. Gill, The Use of Attractive Fixed Points in Accelerating the Convergence of Limit Periodic Continued Fractions, Proc. Amer. Math. Soc. 47 (1975), 119–126.

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  3. W. J. Thron and Haakon Waadeland, Accelerating Convergence of Limit Periodic Continued Fractions K(an/1), Numer. Math. 34 (1980), 155–170.

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  4. Haakon Waadeland, A Convergence Property of Certain T-Fraction Expansions, K. Norske. Vidensk. Selsk. Skr. (1966), No. 9, 1–22.

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  5. H. S. Wall, Analytic Theory of Continued Fractions, D. Van Norstrand, New York (1948).

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© 1982 Springer-Verlag

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Gill, J. (1982). Convergence acceleration for continued fractions K(an/1) with lim an=0. In: Jones, W.B., Thron, W.J., Waadeland, H. (eds) Analytic Theory of Continued Fractions. Lecture Notes in Mathematics, vol 932. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093305

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  • DOI: https://doi.org/10.1007/BFb0093305

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11567-0

  • Online ISBN: 978-3-540-39276-7

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