Fixing two eigenvalues by a minimal perturbation (Q2566762)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixing two eigenvalues by a minimal perturbation |
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Fixing two eigenvalues by a minimal perturbation (English)
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28 September 2005
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The author presents a generalization of the optimal perturbation \(\Delta M\) to a given matrix \(M\) (in the sense that \(\|\Delta M\|_2\) is minimal such that \(M-\Delta M\) has a given eigenvalue \(\lambda_0\)), namely: finding \(\|\Delta M\|_2\) optimal perturbation of \(M\) such that \(M-\Delta M\) has two given eigenvalues \(\lambda_0\) and \(\lambda_1\).
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eigenvalue perturbation
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matrix perturbation
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singular value perturbation
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Eckart-Young theorem
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