Temporal Components of a Semigroup of Nonnegative Matrices. A Generalization of Minc’s Theorem on the Structure of an Irreducible Matrix
- Authors: Al’pin Y.A.1, Al’pina V.S.2
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Affiliations:
- Kazan’ Federal University
- Kazan’ National Research Technological University
- Issue: Vol 232, No 6 (2018)
- Pages: 747-751
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/241418
- DOI: https://doi.org/10.1007/s10958-018-3903-0
- ID: 241418
Cite item
Abstract
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.
About the authors
Yu. A. Al’pin
Kazan’ Federal University
Author for correspondence.
Email: Yuri.Alpin@kpfu.ru
Russian Federation, Kazan’
V. S. Al’pina
Kazan’ National Research Technological University
Email: Yuri.Alpin@kpfu.ru
Russian Federation, Kazan’
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