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Consider Cannon\'s matrix-matrix multiplication algorithm. Our discussion of Can

ID: 2315546 • Letter: C

Question

Consider Cannon's matrix-matrix multiplication algorithm. Our discussion of Cannon's algorithm has been limited to cases in which A and B are square matrices, mapped onto a square grid of processes. However, Cannon's algorithm can be extended for cases in which A, B, and the process grid are not square. In particular, let matrix A be of size n x k and matrix B be of size k x m. The matrix C obtained by multiplying A and B is of size n x m. Also, let q x r be the number of processes in the grid arranged in q rows and r columns. Develop an MPI program for multiplying two such matrices on a q x r process grid using Cannon's algorithm.

Explanation / Answer

1. Cannon's Matrix-Matrix Multiplication:

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