Abstract:We present COPSIM a parallel implementation of standard integer multiplication for the distributed memory setting, and COPK a parallel implementation of Karatsuba's fast integer multiplication algorithm for a distributed memory setting. When using P processors, each equipped with a local memory, to compute the product of tho n-digits integer numbers, under mild conditions, our algorithms achieve optimal speedup of the computational time. That is, O n 2 /P for COPSIM, and O n log 2 3 /P for COPK. The total amou… Show more
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