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A canonical form for regular pencils of matrices - MaRDI portal

A canonical form for regular pencils of matrices (Q1084468)

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scientific article; zbMATH DE number 3979264
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A canonical form for regular pencils of matrices
scientific article; zbMATH DE number 3979264

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    A canonical form for regular pencils of matrices (English)
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    1986
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    A new canonical form for regular pencils of matrices is constructed. This canonical form is characterized by: (1) the block diagonal structure, (2) the diagonal blocks in general companion form. It is shown that every regular pencil can be reduced to such a form by strict equivalence transformations.
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    system theory
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    canonical form
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    regular pencils of matrices
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    block diagonal structure
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    companion form
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    strict equivalence transformations
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