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Optimal and Efficient Algorithms for Summing and Prefix Summing on Parallel Machines
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Optimal and Efficient Algorithms for Summing and Prefix Summing on Parallel Machines

Eunice E. Santos
Journal of parallel and distributed computing, v 62(4), pp 517-543
01 Apr 2002

Abstract

The problem of designing efficient parallel algorithms for summing and prefix summing for certain classes of the LogP model is studied. We present optimal algorithms for summing and show that any optimal summing algorithm must have a certain inherent structure. Moreover, we present optimal or near-optimal algorithms for prefix summing for both non-commutative and commutative binary operators. Furthermore, we show that the optimal algorithms for prefix summing for these two types of operators are not equivalent.

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