Spectral factorization is a prominent tool with several important applications in various areas of applied science. Wiener and Masani proved the existence matrix spectral factorization. Their theorem has been extended to multivariable case by Helson Lowdenslager. Solving problem numerically challenging both situations, also due its practical applications. Therefore, authors have developed algor...

This paper considers a restriction to non-negative matrix factorization in which at least one matrix factor is stochastic. That is, the elements of the matrix factors are non-negative and the columns of one matrix factor sum to 1. This restriction includes topic models, a popular method for analyzing unstructured data. It also includes a method for storing and finding pictures. The paper presen...