Exponents of tuples of nonnegative matrices

DOI10.1016/S0024-3795(02)00365-8zbMath1018.15018MaRDI QIDQ1855395

D. Dale Olesky, Pauline van den Driessche, Bryan L. Shader

Publication date: 5 February 2003

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

zbMATH Keywords

exponentnonnegative matrixirreducibilityprimitivity

Mathematics Subject Classification ID

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

Related Items (16)

Primitivity and Hurwitz Primitivity of Nonnegative Matrix Tuples: A Unified Approach ⋮ Shortest positive products of nonnegative matrices ⋮ Generalized primitivity of labeled digraphs ⋮ On primitivity of sets of matrices ⋮ Sets of nonnegative matrices without positive products ⋮ Lifespan in a primitive Boolean linear dynamical system ⋮ On properties of primitive sets of digraphs with common cycles ⋮ Exponents of 2-coloring of symmetric digraphs ⋮ Exponents of 2-colorings of loopless, symmetric digraphs ⋮ Analytic methods for reachability problems ⋮ 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 ⋮ On \(k\)-primitivity of two classes of digraphs ⋮ LOWER BOUNDS FOR THE LENGTH OF RESET WORDS IN EULERIAN AUTOMATA

Cites Work

• Directed graphs, 2D state models, and characteristic polynomials of irreducible matrix pairs
• Exponents of nonnegative matrix pairs
• Some polyhedra related to combinatorial problems
• A Sharp Bound for Solutions of Linear Diophantine Equations
• Unnamed Item
• Unnamed Item

This page was built for publication: Exponents of tuples of nonnegative matrices