A continued fraction algorithm |
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Authors: | P Van der Cruyssen |
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Institution: | (1) Departement Wiskunde, Universitaire Instelling Antwerpen, Universiteitsplein 1, B-2610 Wilrijk, Belgium |
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Abstract: | Summary Two existing algorithms for the evaluation of a finite sequence of convergents of a continued fraction are considered. Each method has a drawback concerning numerical stability or computational effort. A third algorithm is presented which requires less computations than the first method, and generally is more stable than the second one. The results are illustrated by numerical examples. The connection with Miklo ko's algorithm is shown. |
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Keywords: | AMS (MOS): 30A22 CR: 5 11 |
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