Computing spectral value sets using the subharmonicity of the norm of rational matrices (Q1387235)
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scientific article; zbMATH DE number 1158318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computing spectral value sets using the subharmonicity of the norm of rational matrices |
scientific article; zbMATH DE number 1158318 |
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Computing spectral value sets using the subharmonicity of the norm of rational matrices (English)
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2 August 1998
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Using the principle of subharmonicity for the minimal singular value function of \(sI-A\), the proposed spectral value set algorithm uses a predictor and corrector step that decreases and enlarges an approximation of the spectral value set for structured perturbations of a given matrix \(A\). This method is approximately 35\% faster than the singular value decomposition approach to the pseudospectrum evaluation.
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pseudospectrum
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spectral value set
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subharmonic function
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minimal singular value function
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algorithm
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singular value decomposition
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