Abstract
Matrix multiplication is a fundamental mathematical operation that has numerous applications across most scientific fields. Cannon's distributed algorithm to multiply two n-by-n matrices on a two dimensional square mesh array with n2 cells takes exactly 3n − 2 communication steps to complete. We show that it is possible to perform matrix multiplication in just 1.5n − 1 communication steps on a two dimensional square mesh array of the same size, thus halving the number of steps required.
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