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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

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Convergence acceleration for generalized continued fractions
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by Paul Levrie and Lisa Jacobsen
Trans. Amer. Math. Soc. 305 (1988), 263-275
DOI: https://doi.org/10.1090/S0002-9947-1988-0920158-4
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Abstract:

The main result in this paper is the proof of convergence acceleration for a suitable modification (as defined by de Bruin and Jacobsen) in the case of an $n$-fraction for which the underlying recurrence relation is of Perron-Kreuser type. It is assumed that the characteristic equations for this recurrence relation have only simple roots with differing absolute values.
References
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 305 (1988), 263-275
  • MSC: Primary 65B05; Secondary 65Q05
  • DOI: https://doi.org/10.1090/S0002-9947-1988-0920158-4
  • MathSciNet review: 920158