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arXiv · 1012.0284

Middle and Ripple, fast simple O(lg n) algorithms for Lucas Numbers

L. F. Johnson
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Abstract

A fast simple O(\log n) iteration algorithm for individual Lucas numbers is given. This is faster than using Fibonacci based methods because of the structure of Lucas numbers. Using a sqrt 5 conversion factor on Lucus numbers gives a faster Fibonacci algorithm. In addition, a fast simple recursive algorithm for individual Lucas numbers is given that is O(log n).

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L. F. Johnson. 2010-12-01. Middle and Ripple, fast simple O(lg n) algorithms for Lucas Numbers. https://arxiv.org/abs/1012.0284

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