The \(C\)-numerical range of perturbations matrix polynomials (Q2805957)
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scientific article; zbMATH DE number 6580486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(C\)-numerical range of perturbations matrix polynomials |
scientific article; zbMATH DE number 6580486 |
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13 May 2016
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perturbations matrix polynomials
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\(C\)-numerical range
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\(C\)-radius stability
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The \(C\)-numerical range of perturbations matrix polynomials (English)
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The authors introduce the concept of \(C\)-radius stability of a matrix polynomial \(P(\lambda)\) relative to a domain \(\Omega\) in the complex plane and investigate its relation with the \(C\)-numerical range of \(P(\lambda)\). A sufficient condition for a lower bound for the distance of \(\Omega\) from the connected components of the \(C\)-numerical range of \(P(\lambda)\) is obtained.
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