The Tensor Production of Block Matrix and its Parallel Computing

Abstract

First, the result was proved that two matrices tensor product can be exchanged in the sense of permutation similar and this explants that the tensor product of block matrixes can be block calculated in the sense of permutation similar. Second, the convenient constructing method for the permutation matrix is given. Third, the parallel computing models of matrix tensor product are proposed. Final, the thought and process of the algorithm are showed by an example.