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Optimal and efficient parallel algorithms for summing and prefix summing
Conference proceeding

Optimal and efficient parallel algorithms for summing and prefix summing

E.E. Santos
8th IEEE Symposium on Parallel and Distributed Processing, (8th), pp 504-511
1996

Abstract

Algorithm design and analysis Binary trees Commutation Computational modeling Computer science Concurrent computing Costs Delay Parallel algorithms Phase change random access memory
The author considers the problem of designing efficient parallel algorithms for summing and prefix summing. The author presents optimal algorithms for summing on a latency-dependent distributed-memory model and shows that any optimal summing algorithm must have an inherent structure. Moreover, the author presents optimal or near-optimal algorithms for prefix summing for both non-commutative and commutative binary operators. Furthermore, the author shows that the optimal algorithms for prefix summing for these two types of operators are not equivalent.

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