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arXiv · 0907.0718

A Randomized Sublinear Time Parallel GCD Algorithm for the EREW PRAM

Jonathan P. Sorenson
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Abstract

We present a randomized parallel algorithm that computes the greatest common divisor of two integers of n bits in length with probability 1-o(1) that takes O(n loglog n / log n) expected time using n^{6+ε} processors on the EREW PRAM parallel model of computation. We believe this to be the first randomized sublinear time algorithm on the EREW PRAM for this problem.

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BibTeXRIS

Jonathan P. Sorenson. 2010-01-15. A Randomized Sublinear Time Parallel GCD Algorithm for the EREW PRAM. https://doi.org/10.1016/j.ipl.2009.12.008

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