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A mathematical formalization of data parallel operations

We give a mathematical formalization of `generalized data parallel' operations, a concept that covers such common scientific kernels as matrix-vector multiplication, multi-grid coarsening, load distribution, and many more. We show that from a compact specification such computational aspects as MPI messages or task dependencies can be automatically derived.

preprint2016arXivOpen access
Victor Eijkhout
Distributed, Parallel, and Cluster Computing
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Victor Eijkhout

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