The use of attractive fixed points in accelerating the convergence of limit-periodic continued fractions

Gill, John

doi:10.1090/S0002-9939-1975-0352774-1

The use of attractive fixed points in accelerating the convergence of limit-periodic continued fractions
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Proc. Amer. Math. Soc. 47 (1975), 119-126 Request permission

Abstract:

A continued fraction can be interpreted as a composition of Möbius transformations. Frequently these transformations have powerful attractive fixed points which, under certain circumstances, can be used as converging factors for the continued fraction. The limit of a sequence of such fixed points can be employed as a constant converging factor.

References

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Additional Information

Journal: Proc. Amer. Math. Soc. 47 (1975), 119-126
DOI: https://doi.org/10.1090/S0002-9939-1975-0352774-1
MathSciNet review: 0352774