Relative perturbation bound for invariant subspaces of graded indefinite Hermitian matrices (Q1970516)
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scientific article; zbMATH DE number 1420054
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative perturbation bound for invariant subspaces of graded indefinite Hermitian matrices |
scientific article; zbMATH DE number 1420054 |
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Relative perturbation bound for invariant subspaces of graded indefinite Hermitian matrices (English)
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22 November 2000
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A bound for the perturbation of invariant subspaces of non-singular Hermitian matrix \(H=D^*AD\) which is perturbed into \(H+\delta H=D^*(A+\delta A)D\) is given. The bounds require only the knowledge of the size of the relative perturbation \(\|\delta A\|\) and generalize some of the relative perturbation results.
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relative perturbation theory
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eigenvector
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invariant subspace
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indefinite Hermitian matrix
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graded matrix
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