A Brauer's theorem and related results (Q432258)
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scientific article; zbMATH DE number 6052618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Brauer's theorem and related results |
scientific article; zbMATH DE number 6052618 |
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A Brauer's theorem and related results (English)
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3 July 2012
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The authors provide applications of a theorem by \textit{A. Brauer} [Duke Math. J. 19, 75--91 (1952; Zbl 0046.01202)] relating the eigenvalues of an arbitrary matrix and the updated matrix by a rank-one additive perturbation. Namely, the theorem is applied to the stabilization of control systems, to the Jordan form of a matrix, and to Wielandt's and Hotelling's deflations.
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eigenvalues
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pole assignment problem
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controllability
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low rank perturbation
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deflation techniques
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stabilization
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Jordan form
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Wielandt's and Hotelling's deflations
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