On the perturbation of analytic matrix functions (Q1301584)
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scientific article; zbMATH DE number 1334299
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the perturbation of analytic matrix functions |
scientific article; zbMATH DE number 1334299 |
Statements
On the perturbation of analytic matrix functions (English)
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16 July 2000
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Several generalizations of the known F. Rellich theorem about the analytical dependence of perturbed eigenvalues and eigenvectors for analytic matrix-valued functions \(A(\lambda,\alpha)\) (\(\lambda\) is the spectral parameter and \(\alpha\) is the perturbation parameter) are proved.
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analytic matrix-valued functions
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spectral parameter
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perturbation
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Rellich type theorems
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analytical dependence of perturbed eigenvalues and eigenvectors
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