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Canonical form of polynomial matrices with all identical elementary divisors - MaRDI portal

Canonical form of polynomial matrices with all identical elementary divisors (Q1933334)

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scientific article; zbMATH DE number 6128305
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Canonical form of polynomial matrices with all identical elementary divisors
scientific article; zbMATH DE number 6128305

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    Canonical form of polynomial matrices with all identical elementary divisors (English)
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    23 January 2013
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    The author studies the problem of reducing polynomial matrices to a canonical form by using semiscalar equivalent transformations. He singles out a class of polynomial matrices for which the canonical form with respect to semiscalar equivalence is indicated. This form enables one to solve the classification problem for collections of matrices over a field up to similarity.
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    polynomial matrix
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    canonical form
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    semiscalar equivalence
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