Symmetric matrices associated with a nonnegative matrix (Q915817)
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scientific article; zbMATH DE number 4152599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetric matrices associated with a nonnegative matrix |
scientific article; zbMATH DE number 4152599 |
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Symmetric matrices associated with a nonnegative matrix (English)
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1990
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For a non-negative square matrix P and its transpose let H, G and A be the entrywise harmonic, geometric and arithmetic means resp. Then for the Perron roots \(\rho\) (H)\(\leq \rho (G)\leq \rho (P)\leq \rho (A)\). The paper focuses upon the characterization of equality in each of the six possible inequalities.
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symmetric matrices
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positive matrix
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harmonic, geometric and arithmetic means
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Perron roots
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inequalities
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