Temporal components of a semigroup of nonnegative matrices. A generalization of Minc's theorem on the structure of an irreducible matrix
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXX, Tome 463 (2017), pp. 5-12 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The notion of a temporal component of a semigroup of block-monomial nonnegative matrices is introduced. For such semigroups, a generalization of Mink's theorem on the structure of an irreducible matrix is proved.
@article{ZNSL_2017_463_a0,
     author = {Yu. A. Al'pin and V. S. Al'pina},
     title = {Temporal components of a~semigroup of nonnegative matrices. {A~generalization} of {Minc's} theorem on the structure of an irreducible matrix},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--12},
     year = {2017},
     volume = {463},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_463_a0/}
}
TY  - JOUR
AU  - Yu. A. Al'pin
AU  - V. S. Al'pina
TI  - Temporal components of a semigroup of nonnegative matrices. A generalization of Minc's theorem on the structure of an irreducible matrix
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2017
SP  - 5
EP  - 12
VL  - 463
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2017_463_a0/
LA  - ru
ID  - ZNSL_2017_463_a0
ER  - 
%0 Journal Article
%A Yu. A. Al'pin
%A V. S. Al'pina
%T Temporal components of a semigroup of nonnegative matrices. A generalization of Minc's theorem on the structure of an irreducible matrix
%J Zapiski Nauchnykh Seminarov POMI
%D 2017
%P 5-12
%V 463
%U http://geodesic.mathdoc.fr/item/ZNSL_2017_463_a0/
%G ru
%F ZNSL_2017_463_a0
Yu. A. Al'pin; V. S. Al'pina. Temporal components of a semigroup of nonnegative matrices. A generalization of Minc's theorem on the structure of an irreducible matrix. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXX, Tome 463 (2017), pp. 5-12. http://geodesic.mathdoc.fr/item/ZNSL_2017_463_a0/

[1] F. R. Gantmakher, Teoriya matrits, Nauka, M., 1967 | MR

[2] H. Minc, “The structure of irreducible matrices”, Linear and Multilinear Algebra, 2 (1974), 85–90 | DOI | MR | Zbl

[3] H. Minc, Nonnegative Matrices, Wiley, New York etc., 1988 | MR | Zbl

[4] N. J. Pullman, “A note on a theorem of Minc on irreducible nonnegative matrices”, Linear and Multilinear Algebra, 2 (1974), 335–336 | DOI | MR

[5] L. EIsner, “Another note on a theorem of Minc on irreducible nonnegative matrices”, Linear and Multilinear Algebra, 6 (1978), 61–62 | DOI | MR

[6] R. A. Brualdi, M. Lewin, “On powers of nonnegative matrices”, Linear Algebra Appl., 43 (1982), 87–97 | DOI | MR | Zbl

[7] V. Feller, Vvedenie v teoriyu veroyatnostei i eë prilozheniya, v. 1, Mir, 1967 | MR

[8] V. Yu. Protasov, A. S. Voynov, “Sets of nonnegative matrices without positive products”, Linear Algebra Appl., 437 (2012), 749–765 | DOI | MR | Zbl