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Canonical form of polynomial matrices with all identical elementary divisors

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Ukrainian Mathematical Journal Aims and scope

The problem of reducing polynomial matrices to the canonical form by using semiscalar equivalent transformations is studied. A class of polynomial matrices is singled out, 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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Authors and Affiliations

  1. Institute for Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    B. Z. Shavarovskii

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  1. B. Z. Shavarovskii
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 2, pp. 253–267, February, 2012.

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Shavarovskii, B.Z. Canonical form of polynomial matrices with all identical elementary divisors. Ukr Math J 64, 282–297 (2012). https://doi.org/10.1007/s11253-012-0645-x

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  • DOI: https://doi.org/10.1007/s11253-012-0645-x

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