Abstract
The aim of this paper is to generalise the concept of "modification", which has been so successfully exploited in the field of ordinary continued fractions, to generalised continued fractions.
The main result in this paper is the proof of convergence acceleration for a suitable modification in the case of limit-1-periodic n-fractions for which the auxiliary equation (connected with the underlying difference equation for numerators and denominators) has only simple roots with differing absolute values.
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© 1987 Springer-Verlag
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de Bruin, M.G., Jacobsen, L. (1987). Modification of generalised continued fractions I definition and application to the limit-periodic case. In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072462
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DOI: https://doi.org/10.1007/BFb0072462
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