Characteristic polynomials of some perturbed matrices (Q928087)
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scientific article; zbMATH DE number 5286430
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characteristic polynomials of some perturbed matrices |
scientific article; zbMATH DE number 5286430 |
Statements
Characteristic polynomials of some perturbed matrices (English)
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11 June 2008
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A determinant identity is used to establish a relation between the characteristic polynomial of a matrix \(A\) and that of a special perturbation of \(A\). The latter is obtained in factored form, provided the perturbation satisfies some linear independence condition. This result implies some known eigenvalue theorems.
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eigenvalue
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characteristic polynomial
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perturbation
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determinant identity
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