A note on the eigenvalues of a primitive matrix with large exponent

DOI10.1016/0024-3795(95)00701-6zbMath0878.15015OpenAlexW2067687306MaRDI QIDQ677125

Stephen J. Kirkland

Publication date: 8 January 1998

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00701-6

zbMATH Keywords

eigenvaluesstochastic matrixprimitive matrixmatrix exponent

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Stochastic matrices (15B51)

Related Items (8)

On the sequence of power of a stochastic matrix with large exponent ⋮ Primitive digraphs with smallest large exponent ⋮ The exponent and circumdiameter of primitive digraphs ⋮ Maximal exponents of polyhedral cones. I ⋮ A cycle-based bound for subdominant eigenvalues of stochastic matrices ⋮ Digraph-based conditioning for Markov chains ⋮ Maximal exponents of polyhedral cones (III) ⋮ Regular Markov chains for which the transition matrix has large exponent

Cites Work

• Unnamed Item
• A system of gaps in the exponent set of primitive matrices
• Non-negative matrices and Markov chains. 2nd ed
• An Eigenvalue Region for Leslie Matrices

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