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Mathematics of Computation

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Estimates of the speed of convergence of continued fraction expansions of functions


Author: David A. Field
Journal: Math. Comp. 31 (1977), 495-502
MSC: Primary 65D99
DOI: https://doi.org/10.1090/S0025-5718-1977-0433830-6
MathSciNet review: 0433830
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Abstract: The best recently published methods of obtaining a priori and a posteriori truncation error estimates of continued fractions are reviewed. The applicability of these methods is discussed and a numerical example with tables of their actual estimates is provided.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1977-0433830-6
Keywords: Continued fraction, truncation error, a priori, a posteriori
Article copyright: © Copyright 1977 American Mathematical Society