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Transactions of the American Mathematical Society

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Convergence acceleration for generalized continued fractions

Authors: Paul Levrie and Lisa Jacobsen
Journal: Trans. Amer. Math. Soc. 305 (1988), 263-275
MSC: Primary 65B05; Secondary 65Q05
MathSciNet review: 920158
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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.

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