Software and Hardware Complex for Calculating Convolutions by Methods Multidimensional Matrix Algebra

The article contains description of the major types of convolutions and algebra of multidimensional matrices. It is shown that all major types of convolutions have been expressed in terms of the algebra of multidimensional matrices. Examples are given to illustrate this fact. It is shown how the operation of the multiplication of multidimensional matrices is parallelized using GPGPU. Considering this fact, the idea of an SHC implementing MMA is proposed for calculating convolutions.