Low rank perturbations of strongly definitizable transformations and matrix polynomials (Q1319978)
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scientific article; zbMATH DE number 553951
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Low rank perturbations of strongly definitizable transformations and matrix polynomials |
scientific article; zbMATH DE number 553951 |
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Low rank perturbations of strongly definitizable transformations and matrix polynomials (English)
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16 May 1994
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The authors consider problems concerning the number of real eigenvalues of a \(G\)-selfadjoint transformation \(A\) where \(A\) and \(G\) are low rank perturbations of \(A_ 0\) and \(G_ 0\) and \(A_ 0\) is a \(G_ 0\)- strongly definitizable selfadjoint transformation. Some applications to quadratic matrix polynomials are made.
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indefinite scalar product
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selfadjoint transformation
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number of real eigenvalues
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low rank perturbations
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quadratic matrix polynomials
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