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pro vyhledávání: '"Kozyakin, Victor"'
Autor:
Kozyakin, Victor
Recently, J. Bochi and P. Laskawiec constructed an example of a set of matrices $\{A,B\}$ having two different (up to cyclic permutations of factors) spectrum maximizing products, $AABABB$ and $BBABAA$. In this paper, we identify a class of matrix se
Externí odkaz:
http://arxiv.org/abs/2407.10513
Autor:
Kozyakin, Victor
Publikováno v:
Automatica (2022) 110574
In the theory of linear switching systems with discrete time, as in other areas of mathematics, the problem of studying the growth rate of the norms of all possible matrix products $A_{\sigma_{n}}\cdots A_{\sigma_{0}}$ with factors from a set of matr
Externí odkaz:
http://arxiv.org/abs/2112.00391
Autor:
Kozyakin, Victor
We consider the question of the boundedness of matrix products $A_{n}B_{n}\cdots A_{1}B_{1}$ with factors from two sets of matrices, $A_{i}\in\mathscr{A}$ and $B_{i}\in\mathscr{B}$, due to an appropriate choice of matrices $\{B_{i}\}$. It is assumed
Externí odkaz:
http://arxiv.org/abs/2010.03890
Autor:
Kozyakin, Victor
Publikováno v:
Journal of Communications Technology and Electronics, 2019, Vol. 64, No. 12, pp. 1523-1526
An example of inconsistencies in information provided by popular bibliographic services is described and the reasons for these inconsistencies are discussed.
Comment: 4 pages, title changed, numerous wording changes
Comment: 4 pages, title changed, numerous wording changes
Externí odkaz:
http://arxiv.org/abs/1903.03366
Autor:
Kozyakin, Victor
Publikováno v:
Discrete and Continuous Dynamical Systems - Series B, 2019. 24(8):3537-3556
To estimate the growth rate of matrix products $A_{n}\cdots A_{1}$ with factors from some set of matrices $\mathcal{A}$, such numeric quantities as the joint spectral radius $\rho(\mathcal{A})$ and the lower spectral radius $\check{\rho}(\mathcal{A})
Externí odkaz:
http://arxiv.org/abs/1712.06805
Autor:
Kozyakin, Victor
Publikováno v:
Discrete Dynamics in Nature and Society, Volume 2018 (2018), Article ID 9216760, 5 pages
We consider the problem of convergence to zero of matrix products $A_{n}B_{n}\cdots A_{1}B_{1}$ with factors from two sets of matrices, $A_{i}\in\mathscr{A}$ and $B_{i}\in\mathscr{B}$, due to a suitable choice of matrices $\{B_{i}\}$. It is assumed t
Externí odkaz:
http://arxiv.org/abs/1712.06356
Autor:
Kozyakin, Victor
Publikováno v:
Linear and Multilinear Algebra, 2017, 65:11, 2356-2365
We prove the minimax equality for the spectral radius $\rho(AB)$ of the product of matrices $A\in\mathcal{A}$ and $B\in\mathcal{B}$, where $\mathcal{A}$ and $\mathcal{B}$ are compact sets of non-negative matrices of dimensions $N\times M$ and $M\time
Externí odkaz:
http://arxiv.org/abs/1603.05375
Autor:
Kozyakin, Victor
Publikováno v:
Journal of Communications Technology and Electronics. 2017. 62 (6). 686-693
We describe a new class of positive linear discrete-time switching systems for which the problems of stability or stabilizability can be resolved constructively. This class generalizes the class of systems with independently switching state vector co
Externí odkaz:
http://arxiv.org/abs/1511.05665
Autor:
Kozyakin, Victor
Publikováno v:
Linear Algebra and its Applications, 489 (2016), 167-185
Recently Blondel, Nesterov and Protasov proved that the finiteness conjecture holds for the generalized and the lower spectral radii of the sets of non-negative matrices with independent row/column uncertainty. We show that this result can be obtaine
Externí odkaz:
http://arxiv.org/abs/1507.00492