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A MATHEMATICAL THEORY AND ITS ENVIRONMENT FOR PARALLEL PROGRAMMING

    https://doi.org/10.1142/S0129626494000296Cited by:3 (Source: Crossref)
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    Abstract

    This paper presents the main concepts of the mathematical theory PEI for parallel programming and emphasizes its derivation power. The mathematical basis of this theory leads to a nice implementation in CENTAUR7 of an environment whose purpose is to transform parallel programs. It is illustrated by two similar examples: the convolution sum and the Dirichlet product. The second one uses non-affine dependencies that can be easily taken into account using PEI.