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Verified error bounds for eigenvalues of geometric multiplicity \(q\) and corresponding invariant subspaces - MaRDI portal

Verified error bounds for eigenvalues of geometric multiplicity \(q\) and corresponding invariant subspaces (Q684197)

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scientific article; zbMATH DE number 6836931
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English
Verified error bounds for eigenvalues of geometric multiplicity \(q\) and corresponding invariant subspaces
scientific article; zbMATH DE number 6836931

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    Verified error bounds for eigenvalues of geometric multiplicity \(q\) and corresponding invariant subspaces (English)
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    9 February 2018
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    It is shown how to compute verified and narrow error bounds such that a slightly perturbed matrix is guaranteed to possess an eigenvalue with geometric multiplicity \(q\) within computed error bounds. Results of numerical experiments are provided.
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    eigenvalues
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    geometric multiplicity
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    invariant subspaces
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    numerical experiment
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