In this paper, we represent the computation space of the (n×n)-matrix multiplication problem C=C+A·B as a 3D torus. All possible time-minimal scheduling ...
In this paper, we represent the computation space of the (n×n)-matrix multiplication problem C=C+A·B as a 3D torus. All possible time-minimal scheduling ...
This paper represents the computation space of the (n×n)-matrix multiplication problem C=C+AċB as a 3D torus and determines the possible time-minimal ...
In this paper, we represent the computation space of the (n×n)-matrix multiplication problem C=C+AċB as a 3D torus. All possible time-minimal scheduling ...
Because the computation space of the matrix-matrix multiplication problem is a 3D torus, the array processor resulting from the projection will be a 2D torus.
The first really nice property of matrices that the algorithm uses is that one can divide the computation up into blocks. Matrix Multiplication on a Torus.
Abstract. We expose a systematic approach for developing distributed memory parallel ma- trix matrix multiplication algorithms. The journey starts with a ...
If we have something like a 2D torus topology, we can overlap almost all the messages in Cannon. Because we're sending point-to-point messages instead of ...
[PDF] Matrix multiplication on multidimensional torus networks
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In this paper, we adapt a classical matrix multiplication algorithm to exploit full injection bandwidth on a torus network of any dimension. Cannon's algorithm ...
Matrix Multiplication on a Torus · We could also think of A and B as m x m matrices whose elements are 2 x 2 matrices. · This is called block matrix ...