Pseudoprime factorizations of integer matrices Original Research Article

We give a method of factoring integer matrices in image into components such that the factorization is not unique unless certain information is known. In Section 2, we introduce this method of factorization and provide theorems which establish its well-definedness. In Section 3, we construct a matrix in image as a product of specific types of matrices and establish an algorithm for factoring the result uniquely given an amount of information.