Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues (Q716413)
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scientific article; zbMATH DE number 5949260
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues |
scientific article; zbMATH DE number 5949260 |
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Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues (English)
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22 September 2011
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The authors present an example of a pair of \(4\times 4\) matrices having identical pseudospectra but whose squares have different norms. The novelty of the example lies in the fact that the matrices in question have only simple eigenvalues.
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matrix norm
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eigenvalue
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singular value
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pseudospectra
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