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An O(1) Solution to the Prefix Sum Problem on a Specialized Memory Architecture

Andrej Brodnik·Johan Karlsson·J. Ian Munro·Andreas Nilsson
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Abstract

In this paper we study the Prefix Sum problem introduced by Fredman. We show that it is possible to perform both update and retrieval in O(1) time simultaneously under a memory model in which individual bits may be shared by several words. We also show that two variants (generalizations) of the problem can be solved optimally in $Θ(\lg N)$ time under the comparison based model of computation.

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Andrej Brodnik, Johan Karlsson, J. Ian Munro, Andreas Nilsson. 2006-01-18. An O(1) Solution to the Prefix Sum Problem on a Specialized Memory Architecture. https://arxiv.org/abs/cs/0601081

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