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Keywords

Non-negative matrix, Stochastic form, Diagonal form, Tensor product, Perron- regular

Abstract

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.

abs_vol31_pp515-540.pdf (26 kB)
Abstract

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