Non-negative matrix, Stochastic form, Diagonal form, Tensor product, Perron- regular
Given a real non-negative square matrix A, the problem of determining when two distinct constructions of stochastic matrices associated to A coincide is studied. All the constructions (or stochastic forms) that are considered are diagonal forms, i.e., the transformations act like A → αD^(r)AD^(c), where D^(r) and D^(c) are diagonal matrices with positive diagonals and α > 0, all depending on A.
"Stochastic forms of non-negative matrices and Perron-regularity",
Electronic Journal of Linear Algebra,
Volume 31, pp. 515-540.