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Eigenvalue estimates using the Kolmogorov-Sinai entropy - MaRDI portal

Eigenvalue estimates using the Kolmogorov-Sinai entropy (Q400969)

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scientific article; zbMATH DE number 6334286
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Eigenvalue estimates using the Kolmogorov-Sinai entropy
scientific article; zbMATH DE number 6334286

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    Eigenvalue estimates using the Kolmogorov-Sinai entropy (English)
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    26 August 2014
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    Summary: The scope of this paper is twofold. First, we use the Kolmogorov-Sinai entropy to estimate lower bounds for dominant eigenvalues of nonnegative matrices. The lower bound is better than the Rayleigh quotient. Second, we use this estimate to give a nontrivial lower bound for the gaps of dominant eigenvalues of \(A\) and \(A+V\).
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    Kolmogorov-Sinai entropy
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    Parry's theorem
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    eigenvalue estimates
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    lower bound
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    dominant eigenvalue
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    nonnegative matrices
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