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
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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},
publisher = {mathdoc},
volume = {463},
year = {2017},
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 PB - mathdoc 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 %I mathdoc %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/