dc.contributor.author |
Al’pin Y. |
|
dc.contributor.author |
Al’pina V. |
|
dc.date.accessioned |
2018-09-19T21:03:03Z |
|
dc.date.available |
2018-09-19T21:03:03Z |
|
dc.date.issued |
2016 |
|
dc.identifier.issn |
1072-3374 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/143528 |
|
dc.description.abstract |
© 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 scrambling rank of a nonnegative matrix is suggested. Based on this characterization, an independent combinatorial proof of the Protasov–Voynov theorem on the interrelation between the imprimitivity index of a semigroup of stochastic matrices and the spectral properties of matrices in the semigroup is presented. |
|
dc.relation.ispartofseries |
Journal of Mathematical Sciences (United States) |
|
dc.title |
Combinatorial and Spectral Properties of Semigroups of Stochastic Matrices |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
6 |
|
dc.relation.ispartofseries-volume |
216 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
730 |
|
dc.source.id |
SCOPUS10723374-2016-216-6-SID84976334782 |
|