A Randomized Sublinear Time Parallel GCD Algorithm for the EREW PRAMInformation Processing Letters
AbstractWe 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 log logn/ logn) time using O(n6 + ) processors for any > 0 on the EREW PRAM parallel model of computation. The algorithm either gives a correct answer or reports failure. We believe this to be the first randomized sublinear time algorithm on the EREW PRAM for this problem.
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Citation InformationJonathan P. Sorenson. "A Randomized Sublinear Time Parallel GCD Algorithm for the EREW PRAM" Information Processing Letters Vol. 110 Iss. 5 (2010) p. 198 - 201
Available at: http://works.bepress.com/jonathan_sorenson/2/