Výsledky vyhledávání - "Al'pin, Y. A."

The Hankel matrix rank theorem revisited

Autor: Al'pin Y.

Publikováno v: SCOPUS00243795-2017-534-SID85028315091

© 2017 Elsevier Inc. We give a new short proof of a version of a Hankel matrix rank theorem. That version expresses the rank of H by the smallest possible rank of an infinite Hankel matrix containing H. The new approach is based on application of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5f124fbab627cf2c36dd739fe0a4b6a3
https://openrepository.ru/article?id=237864

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Locally Strongly Primitive Semigroups of Nonnegative Matrices

Autor: Al’pin Y., Al’pina V.

Publikováno v: SCOPUS10723374-2017-SID85021264567

© 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 of the class considered can

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::740ffac15fc31ea2fa528b6bfbba6a92
https://openrepository.ru/article?id=239148

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On Wielandt type inequalities for powers of complex matrices

Autor: Al’pin Y., Il’in S.

Publikováno v: SCOPUS19950802-2016-37-6-SID84994481731

© 2016, Pleiades Publishing, Ltd.The criterion for coincidence of spectral radiuses of a complex matrix A and of the matrix |A| obtained by replacing entries of A by their absolute values was given by Wielandt. In this paper we give the new criterio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::17e3fa526139ce7ebbe99de414bb53b9
https://openrepository.ru/article?id=62981

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Combinatorial and Spectral Properties of Semigroups of Stochastic Matrices

Autor: Al’pin Y., Al’pina V.

Publikováno v: SCOPUS10723374-2016-216-6-SID84976334782

© 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 index in terms of the scrambl

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https://openrepository.ru/article?id=720524

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Combinatorial structure of k-semiprimitive matrix families

Autor: Al'pin Y., Al'pina V.

Publikováno v: SCOPUS10645616-2016-207-5-SID84979657033

© 2016 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.Protasov's Theorem on the combinatorial structure of k-primitive families of non-negative matrices is generalized to k-semiprimitive matrix families. The main tool is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::09f6e0de82fe2148be0604aa8c44e9b7
https://openrepository.ru/article?id=212049

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Combinatorial properties of entire semigroups of nonnegative matrices

Autor: Al’Pin Y., Al’Pina V.

Publikováno v: SCOPUS10723374-2015-207-5-SID84949623643

© 2015, Springer Science+Business Media New York. Generalizations of the Protasov–Voynov theorem on the structure of irreducible semigroups of nonnegative matrices free of zero rows and columns are obtained. The theorem is extended to semigroups t

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https://openrepository.ru/article?id=670947

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Harary's Theorem on Signed Graphs and Reversibility of Markov Chains

Autor: Al'pin Y.

Publikováno v: SCOPUS10723374-2014-199-4-SID84902302715

A counterpart of the well-known Harary theorem on signed graphs is proved for digraphs over groups. This result is then used to derive a known theorem on the diagonal similarity of matrices and Kolmogorov's criterion of the reversibility of Markov ch

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::29de2150e8946f2ef1775a89ce9fb4df
https://openrepository.ru/article?id=204496

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Combinatorial properties of irreducible semigroups of nonnegative matrices

Autor: Al'pin Y., Al'pina V.

Publikováno v: SCOPUS10723374-2013-191-1-SID84884976751

The paper suggests a combinatorial proof of the Protasov-Voynov theorem on an irreducible semigroup of nanonegative matrices free of positive matrices. This solves the problem posed by the authors of the theorem. Bibliography: 6 titles © 2013 Spring

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https://openrepository.ru/article?id=204495

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A criterion for unitary congruence between complex matrices

Autor: Al'pin Y., Ikramov K.

Publikováno v: SCOPUS10723374-2012-182-6-SID84861777000

Let A and B be square complex matrices of the same order n. Based on an important result Y. P. Hong and R. A. Horn, we propose a criterion for verifying unitary congruence of these matrices. The criterion requires that a finite number of arithmetic o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::0d02607b30988eef3c135c3a4f20cc9d
https://openrepository.ru/article?id=204491

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