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

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Analytic Theory of Continued Fractions

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

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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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Author information

Author notes

  1. John Gill

    Present address: Department of Mathematics, University of Southern Colorado, 81001, Pueblo, Colorado

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    Authors
    1. John Gill
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    William B. Jones W. J. Thron Haakon Waadeland

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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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