Browsing by Author "Al’pina V."

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A New Proof of the Protasov-Voynov Theorem on Semigroups of Nonnegative Matrices

Al’pin Y.; Al’pina V. (2019)

© 2019, Pleiades Publishing, Ltd. A new combinatorial proof of the Protasov-Voynov theorem on the structure of irreducible semigroups of nonnegative matrices is proposed. The original proof was obtained by geometric methods.
Combinatorial and Spectral Properties of Semigroups of Stochastic Matrices

Al’pin Y.; Al’pina V. (2016)

© 2016, Springer Science+Business Media New York.The paper studies the notion of imprimitivity index of a semigroup of nonnegative matrices, introduced by Protasov and Voynov. A new characterization of the imprimitivity ...
Indices of Imprimitivity of the Temporal Components of a Semigroup of Nonnegative Matrices

Al’pin Y.; Al’pina V. (2019)

© 2019, Springer Science+Business Media, LLC, part of Springer Nature. It is proved that the index of imprimitivity of a semigroup of nonnegative block-monomial matrices free of zero rows decomposes into the sum of the ...
Locally Strongly Primitive Semigroups of Nonnegative Matrices

Al’pin Y.; Al’pina V. (2017)

© 2017 Springer Science+Business Media, LLC The class of locally strongly primitive semigroups of nonnegative matrices is introduced. It is shown that, by a certain permutation similarity, all the matrices of a semigroup ...

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