Remarks on upper bounds for dominance ratios of nonnegative matrices (Q1430495)
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scientific article; zbMATH DE number 2067261
| Language | Label | Description | Also known as |
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| English | Remarks on upper bounds for dominance ratios of nonnegative matrices |
scientific article; zbMATH DE number 2067261 |
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Remarks on upper bounds for dominance ratios of nonnegative matrices (English)
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27 May 2004
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The dominance ratio of a matrix is the ratio of the absolute value of the largest eigenvalue to the next largest in absolute value. This paper improves upper bounds obtained by \textit{W.T. Tong} [Acta Math. Sin. 22, 185--194 (1979; Zbl 0398.15016)] for the dominance ratio in terms of row sums, largest and smallest entries of nonnegative matrices, and the index of imprimitivity.
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nonnegative matrix
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irreducible matrix
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dominance ratio
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spectral radius
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largest eigenvalue
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index of imprimitivity
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