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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Truncation error bounds for limit periodic continued fractions
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by W. J. Thron and Haakon Waadeland PDF
Math. Comp. 40 (1983), 589-597 Request permission

Abstract:

We derive a truncation error bound for limit periodic continued fractions $K({a_n}/l)$ which, at least asymptotically, is best possible by comparsion with periodic continued fractions. For a given limit periodic continued fraction the bound is easy to compute.
References
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  • William B. Jones and Wolfgang J. Thron, Continued fractions, Encyclopedia of Mathematics and its Applications, vol. 11, Addison-Wesley Publishing Co., Reading, Mass., 1980. Analytic theory and applications; With a foreword by Felix E. Browder; With an introduction by Peter Henrici. MR 595864
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Math. Comp. 40 (1983), 589-597
  • MSC: Primary 30B70; Secondary 41A45
  • DOI: https://doi.org/10.1090/S0025-5718-1983-0689475-9
  • MathSciNet review: 689475