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A mathematical formalization of data parallel operations
Victor Eijkhout · 2016-02-08 · via cs.DC updates on arXiv.org

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.