A generalized inner and outer product of arbitrary multi-dimensional arrays using A Mathematics of Arrays (MoA)

Abstract

An algorithm has been devised to compute the inner and outer product between two arbitrary multi-dimensional arrays A and B in a single piece of code. It was derived using A Mathematics of Arrays (MoA) and the $\psi$-calculus. Extensive tests of the new algorithm are presented for running in sequential as well as OpenMP multiple processor modes.

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