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arXiv · 1303.2772

Further analysis of the binary Euclidean algorithm

Richard P. Brent
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Abstract

The binary Euclidean algorithm is a variant of the classical Euclidean algorithm. It avoids multiplications and divisions, except by powers of two, so is potentially faster than the classical algorithm on a binary machine. We describe the binary algorithm and consider its average case behaviour. In particular, we correct some errors in the literature, discuss some results of Vall\'ee, and describe a numerical computation which supports a conjecture of Vall\'ee.

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Richard P. Brent. 2013-03-12. Further analysis of the binary Euclidean algorithm. https://arxiv.org/abs/1303.2772

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