On Nonnegative matrices generating a finite multiplicative monoid

DOI10.1080/00207169108803988zbMath0739.15012OpenAlexW2000438457MaRDI QIDQ3978322

Paavo Turakainen

Publication date: 25 June 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169108803988

zbMATH Keywords

normal formnonnegative matricesJordan formmatrix equationsPerron-Frobenius theoremmultiplicative monoidblock formsnon-negative matrix solutions

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Canonical forms, reductions, classification (15A21)

Related Items (1)

On polynomial matrix equations XT=p(X) and X=p(X) Where all parameters are nonnegative

Cites Work

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• On the periodicity of the graph of nonnegative matrices
• Simultaneous equations models in applied search theory
• On finite semigroups of matrices
• Nonnegative mth roots of nonnegative 0-symmetric idempotent matrices
• Group inverses of certain nonnegative matrices
• Nonnegative $\lambda $-Monotone Matrices
• Nonnegative matrices generating a finite cyclic group
• Depth-First Search and Linear Graph Algorithms
• On finitely generated monoids of matrices with entries in $\mathbb {N}$

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