The use of attractive fixed points in accelerating the convergence of limit-periodic continued fractions-Reference-Cited by-同舟云学术

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

Published:1975 Issue:1 Volume:47 Page:119-126
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gill John

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-047-01/S0002-9939-1975-0352774-1/S0002-9939-1975-0352774-1.pdf

Reference8 articles.

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2. Attractive fixed points and continued fractions;Gill, John;Math. Scand.,1973

3. Infinite compositions of Möbius transformations;Gill, John;Trans. Amer. Math. Soc.,1973

4. Continued fraction approximation to functions;Hayden, T. L.;Numer. Math.,1965

5. A. N. Hovanskiĭ, The application of continued fractions and their generalizations to problems in approximation theory, GITTL, Moscow, 1956

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