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Common Jordan chains of matrices - MaRDI portal

Common Jordan chains of matrices (Q1097328)

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scientific article; zbMATH DE number 4033916
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English
Common Jordan chains of matrices
scientific article; zbMATH DE number 4033916

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    Common Jordan chains of matrices (English)
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    1988
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    The paper gives a necessary and sufficient condition for any set of matrices to have an eigenvector in common and studies common Jordan chains of matrices. The main result is a characterization of common right divisors of matrix polynomials by common Jordan chains of their first companion matrices.
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    matrices with common eigenvectors
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    common Jordan chains
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    common right divisors of matrix polynomials
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