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A cycle-based bound for subdominant eigenvalues of stochastic matrices

✍ Scribed by Kirkland, Steve


Book ID
121415509
Publisher
Taylor and Francis Group
Year
2009
Tongue
English
Weight
234 KB
Volume
57
Category
Article
ISSN
0308-1087

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On the structure of stochastic matrices
✍ D.J. Hartfiel; Carl D. Meyer πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 443 KB

An n X n irreducible stochastic matrix P can possess a subdominant eigenvalue. say h,(P), near h = I. In this article we clarify the relationship between the nearness of these eigenvalues and the near-uncoupling (some authors say "nearly completelydecomposable") of P. We prove that for fixed n, if h