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On reducing infinite eigenvalues of regular pencils by a nonequivalence transformation - MaRDI portal

On reducing infinite eigenvalues of regular pencils by a nonequivalence transformation (Q1073545)

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scientific article; zbMATH DE number 3945254
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On reducing infinite eigenvalues of regular pencils by a nonequivalence transformation
scientific article; zbMATH DE number 3945254

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    On reducing infinite eigenvalues of regular pencils by a nonequivalence transformation (English)
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    1986
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    A Wielandt type deflation is described for a matrix pencil A-\(\lambda\) B with singular B. It subtracts low rank matrices constructed from the eigenvectors of successive subproblems, until a problem with a regular B matrix is obtained. The behaviour of the deflation when rounding errors are present is discussed, and it is shown how symmetry can be preserved.
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    Wielandt deflation
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    invariant subspace
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    symmetry preserving method
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    matrix pencil
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