Matrix multiplication algorithms | Mesh networking | Distributed algorithms

Cannon's algorithm

In computer science, Cannon's algorithm is a distributed algorithm for matrix multiplication for two-dimensional meshes first described in 1969 by . It is especially suitable for computers laid out in an N × N mesh. While Cannon's algorithm works well in homogeneous 2D grids, extending it to heterogeneous 2D grids has been shown to be difficult. The main advantage of the algorithm is that its storage requirements remain constant and are independent of the number of processors. The Scalable Universal Matrix Multiplication Algorithm (SUMMA)is a more practical algorithm that requires less workspace and overcomes the need for a square 2D grid. It is used by the ScaLAPACK, PLAPACK, and Elemental libraries. (Wikipedia).

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