Exponents of nonnegative matrix pairs

DOI10.1016/S0024-3795(01)00566-3zbMath1019.15013MaRDI QIDQ1870058

Saib Suwilo, Bryan L. Shader

Publication date: 4 May 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsnonnegative matrixdigraphsmatrix pair exponentprimitive pair

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (15)

A note on \(k\)-primitive directed graphs ⋮ Mixing properties of modified additive generators ⋮ \(k\)-primitivity of digraphs ⋮ Exponents of a class of two-colored digraphs with two cycles ⋮ Exponents of 2-coloring of symmetric digraphs ⋮ Exponents of 2-colorings of loopless, symmetric digraphs ⋮ On the exponents of two-colored digraphs with two cycles† ⋮ Exponents of two-colored digraphs ⋮ Generalized exponents of primitive two-colored digraphs ⋮ The characterization of operators preserving primitivity for matrix \(k\)-tuples ⋮ Exponents of a class of two-colored digraphs ⋮ LOWER BOUNDS FOR THE LENGTH OF RESET WORDS IN EULERIAN AUTOMATA ⋮ Nonnegative primitive matrices with exponent 2 ⋮ Exponents of two-colored digraphs with two cycles ⋮ Exponents of tuples of nonnegative matrices

Cites Work

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• A 2-D systems approach to river pollution modelling
• Directed graphs, 2D state models, and characteristic polynomials of irreducible matrix pairs
• On the spectral and combinatorial structure of 2D positive systems
• Some polyhedra related to combinatorial problems
• Unzerlegbare, nicht negative Matrizen
• A Sharp Bound for Solutions of Linear Diophantine Equations
• Primitivity of Positive Matrix Pairs: Algebraic Characterization, Graph Theoretic Description, and 2D Systems Interpretation

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