A new proof of the Protasov-Voynov theorem on semigroups of nonnegative matrices

DOI10.1134/S0001434619050183zbMath1426.15013OpenAlexW2953557426MaRDI QIDQ2334921

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

Publication date: 8 November 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619050183

zbMATH Keywords

irreducible nonnegative matrixsemigroup of nonnegative matricesFrobenius form

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Free semigroups, generators and relations, word problems (20M05) Positive matrices and their generalizations; cones of matrices (15B48) Canonical forms, reductions, classification (15A21)

Related Items (3)

Primitivity and Hurwitz Primitivity of Nonnegative Matrix Tuples: A Unified Approach ⋮ New characterizations of primitive permutation groups with applications to synchronizing automata ⋮ Analytic methods for reachability problems

Cites Work

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• Sets of nonnegative matrices without positive products
• On primitivity of sets of matrices
• Lifespan in a primitive Boolean linear dynamical system
• Sets of nonnegative matrices with positive inhomogeneous products
• Shortest positive products of nonnegative matrices
• Semigroups of non-negative matrices
• Compact noncontraction semigroups of affine operators

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