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  Design and Implementation of an Efficient Sorting Algorithm on Vector Multiprocessors

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by J. H. Lu, C. -h. Huang, R. W. Johnson
ftp://ftp.cis.ohio-state.edu/pub/hpce/tensor/Papers/HPCAsia95-sorting.ps.gz
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Abstract:

In this paper, we present the implementation of sorting algorithms based on bitonic mergers on vector multiprocessors. A programming methodology based on tensor products is used to design and implement these algorithms. We first demonstrate this methodology by expressing Batcher's bitonic merger in a tensor product formulation. Using the algebraic theory of tensor products, several variations of Batcher's bitonic merger are obtained. Programming characteristics of these formulas are described. An efficient sorting algorithm is constructed from these formulas. Finally, performance results for generated sorting codes on the Cray Y-MP are presented and compared with the Cray SciLib sorting routine.

Citations

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