On the set of indices of convergence for reducible matrices

DOI10.1016/0024-3795(91)90097-GzbMath0725.15016OpenAlexW2080227642MaRDI QIDQ2277546

Zhimin Jiang, Jia-yu Shao

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90097-g

zbMATH Keywords

nonnegative matricesindex setnonstrong digraphsperiod of convergencereducible Boolean matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Matrices of integers (15B36)

Related Items (4)

Generalized Indices of Boolean Matrices ⋮ On the generalized indices of boolean matrices ⋮ On the indices of convergence of reducible Boolean matrices with the generalized period \(f_ 0 \geq 2\) ⋮ The index set problem for Boolean (or nonnegative) matrices

Cites Work

• Unnamed Item
• On a conjecture about the exponent set of primitive matrices
• On Lewin and Vitek's conjecture about the exponent set of primitive matrices
• On the index of convergence of an irreducible Boolean matrix
• A system of gaps in the exponent set of primitive matrices
• The index set for the class of irreducible boolean matrices with given period
• The Structure of Powers of Nonnegative Matrices I. The Index of Convergence
• On a sharp estimation in the theory of binary relations on a finite set
• On the semigroup of binary relations on a finite set

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