Combinatorial properties of irreducible semigroups of nonnegative matrices

DOI10.1007/S10958-013-1295-8zbMath1276.15015OpenAlexW2055037223MaRDI QIDQ357305

Valentina S. Al'pina, Yurii A. Al'pin

Publication date: 30 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1295-8

zbMATH Keywords

nonnegative matrixpositive matrixirreducible semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30)

Related Items (10)

Primitivity and Hurwitz Primitivity of Nonnegative Matrix Tuples: A Unified Approach ⋮ Primitivity and Local Primitivity of Digraphs and Nonnegative Matrices ⋮ Generalized primitivity of labeled digraphs ⋮ On primitivity of sets of matrices ⋮ Combinatorial properties of entire semigroups of nonnegative matrices ⋮ Lifespan in a primitive Boolean linear dynamical system ⋮ A Linear Bound on the k-rendezvous Time for Primitive Sets of NZ Matrices ⋮ Indices of imprimitivity of the temporal components of a semigroup of nonnegative matrices ⋮ Analytic methods for reachability problems ⋮ Primitive Sets of Nonnegative Matrices and Synchronizing Automata

Cites Work

• Sets of nonnegative matrices without positive products

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