Estimation of the eigenvalues and the smallest singular value of matrices (Q989061)
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scientific article; zbMATH DE number 5775702
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimation of the eigenvalues and the smallest singular value of matrices |
scientific article; zbMATH DE number 5775702 |
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Estimation of the eigenvalues and the smallest singular value of matrices (English)
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27 August 2010
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The authors present a new location for the spectra of any complex matrix depending on the Frobenius norms of the matrix and of the off-diagonal blocks of a \(2\times 2\) block partition, and the trace and the order of the matrix. A lower bound for the smallest singular value of a non-singular matrix is also provided. Both results are compared with other known regions and bounds, respectively.
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complex matrices
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eigenvalues
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locations
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disk
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norm
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bounds
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Frobenius norms
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smallest singular value
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trace
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