On the distance to singularity via low rank perturbations (Q2814819)
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scientific article; zbMATH DE number 6596986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the distance to singularity via low rank perturbations |
scientific article; zbMATH DE number 6596986 |
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On the distance to singularity via low rank perturbations (English)
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23 June 2016
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low rank perturbation
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singular pencils
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distance to singularity
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Weyl function
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0.8827334
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0.88105446
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0.8773358
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0.8718685
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0.87015945
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0.8674289
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0.8673353
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For regular matrix pencils the distance in norm to the nearest singular pencil under low rank perturbation is studied. Characterizations of this distance are derived via the Weyl function of the perturbation. Special attention is paid to the Hermitian pencil case. Estimates for the distance of a given pencil to the set of singular pencils are obtained.
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