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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Implementing the multiprefix operation on parallel and vector computers

Authors: Thomas J. Sheffler;

Implementing the multiprefix operation on parallel and vector computers

Abstract

For an ordered set of n values, each with an associated integer label, the multiprefix operation calculates a partial sum for each value that is the sum of all preceding values with the same label. The multiprefix operation has been proposed as a parallel primitive because of its power for expressing many data parallel algorithms succinctly. However, most approaches to implementing this operation have used integer sorting to gather elements with the same label together or have suggested special hardware. In this paper we present a work efficient algorithm for the multiprefix operation on n elements that runs in __ __ S = O(V n parallel steps on a p = V n processor CRCW-ARB PRAM. The CRCW-ARB model ensures only that of multiple processors writing to the same location, an arbitrary one succeeds. We make use of this feature to resolve data dependencies in the first phase of the algorithm only so that all later steps guarantee EREW memory access. A fully vectorized version of our algorithm has been designed for the CRAY Y-MP and provides good performance for a number of important algorithms. For the integer sorting test of the NAS benchmarks, our multiprefix operation was used to create an algorithm that is competitive in performance with the current best algorithms for that machine. As another example, we show that by using the multiprefix operator for sparse-matrix dense-vector multiplication, we obtain performance exceding traditional FORTRAN-based approaches. Finally, our algorithm also makes possible the simultion of a CRCW-PLUS PRAM on a p processor CRCW-ARB PRAM with only constant slowdown for problem 2 sizes n < p .

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
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