The case of equality in the Dobrushin-Deutsch-Zenger bound

DOI10.1016/j.laa.2009.03.028zbMath1181.15025OpenAlexW2075293395MaRDI QIDQ1039746

Michael Neumann, Stephen J. Kirkland

Publication date: 23 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.028

zbMATH Keywords

numerical exampleseigenvaluesrandom walksnonnegative matricescentral limit theoremgraphsstochastic matricescoefficient of ergodicitynon-stationary Markov chains

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Stochastic matrices (15B51)

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Cites Work

• Non-negative matrices and Markov chains. 2nd ed
• An improved upper bound for Laplacian graph eigenvalues
• A characterization on graphs which achieve the upper bound for the largest Laplacian eigenvalue of graphs.
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• Convergence Analysis of a PageRank Updating Algorithm by Langville and Meyer
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