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Selection of regular direct summands from matrix polynomials

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study the problem of reducibility of matrix polynomials to a quasidiagonal form with regular diagonal blocks by a similarity transformation. The results obtained are applied to solving matrix algebraic equations of Riccati type.

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References

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Authors and Affiliations

  1. Institute of Applied Problems in Mathematics and Mechanics, Ukrainian Academy of Sciences, Lvov

    B. Z. Shavarovskii

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  1. B. Z. Shavarovskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 7, pp. 927–934, July, 1994.

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Shavarovskii, B.Z. Selection of regular direct summands from matrix polynomials. Ukr Math J 46, 1016–1024 (1994). https://doi.org/10.1007/BF01056678

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  • DOI: https://doi.org/10.1007/BF01056678

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