The notion of a temporal component of a semigroup of block-monomial nonnegative matrices is introduced. For such semigroups, a generalization of Minc’s theorem on the structure of an
irreducible matrix is proved.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 463, 2017, pp. 5–12.
Translated by L. Yu. Kolotilina.
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Al’pin, Y.A., Al’pina, V.S. Temporal Components of a Semigroup of Nonnegative Matrices. A Generalization of Minc’s Theorem on the Structure of an Irreducible Matrix. J Math Sci 232, 747–751 (2018). https://doi.org/10.1007/s10958-018-3903-0
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DOI: https://doi.org/10.1007/s10958-018-3903-0