The spectral variation for two matrices with spectra on two intersecting lines (Q1208280)
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scientific article; zbMATH DE number 166230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The spectral variation for two matrices with spectra on two intersecting lines |
scientific article; zbMATH DE number 166230 |
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The spectral variation for two matrices with spectra on two intersecting lines (English)
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16 May 1993
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The author proves that for \(n\times n\) normal matrices \(A\), \(B\) the spectral distance between \(A\), \(B\) is bounded from above by the spectral norm of \(A-B\) provided that in the complex plane, the eigenvalues of \(A\) lie on a straight line, and the eigenvalues of \(B\) lie on a ray with initial point on this line.
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spectral variation
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normal matrices
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spectral distance
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spectral norm
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eigenvalues
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