Structured pseudospectra for polynomial eigenvalue problems, with applications (Q2719209)
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scientific article; zbMATH DE number 1608872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structured pseudospectra for polynomial eigenvalue problems, with applications |
scientific article; zbMATH DE number 1608872 |
Statements
21 June 2001
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polynomial eigenvalue problem
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\(\lambda\)-matrix
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matrix polynomial
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pseudospectrum
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stability radius
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backward error
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transfer function
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quadratic matrix equation
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solvent
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structured perturbations
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Orr-Sommerfeld equation
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numerical examples
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quadratic eigenvalue problem
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0.9888791
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0.9440108
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0.9236901
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0.9223666
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0.91462207
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0.9122764
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0.9108363
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0.90994453
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0.9066336
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Structured pseudospectra for polynomial eigenvalue problems, with applications (English)
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This paper deals with the structured pseudospectra for polynomial eigenvalue problems. The connections between structured pseudospectra, structured backward errors and structured stability radii are investigated. Two approaches for computing pseudospectra are described. One is for general polynomial eigenvalue problem, the other is specific to quadratic eigenvalue problem. Several interesting examples from vibrating systems, control theory, and fluid mechanics are given to illustrate the techniques.
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