two partitioned matrices with a given quantity of columns in blocks has a view: Main properties Transpose: Applications The Face-splitting product and the Block Face-splitting product used in the tensor-matrix theory of digital antenna arrays. These operations used also in: Artificial Intelligence and Machine learning systems to minimization of convolution and tensor sketch operations, A popular Natural Language Processing models, and hypergraph models of similarity, Generalized linear array model in statistics Two- and multidimensional P-spline approximation of data, Studies of genotype x environment interactions. See also Kronecker product Hadamard product Notes References Matrix theory