The problem of small and large matrices in parallel Matrix Multiplication

C. Piano
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Abstract

In this paper we discuss the case in which, using the generalized Cannon's algorithm, it is possible to reduce communications in matrix multiplication. We then apply reduction of communications to the case in which we have to multiply large matrices, in particular rectangular matrices. Two strategies are proposed to solve the problem of multiplying two large squared matrices. For the case in which we have to deal with small matrices, some methods are proposed to use the entire number of processors.
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并行矩阵乘法中大小矩阵的问题
本文讨论了利用广义Cannon算法可以减少矩阵乘法中的通信的情况。然后我们将通信简化应用于我们必须乘大矩阵的情况,特别是矩形矩阵。提出了两种策略来解决两个大的平方矩阵的乘法问题。对于我们必须处理小矩阵的情况,提出了一些使用整个处理器数量的方法。
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