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Factorization of polynomial matrices over arbitrary fields

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Literature cited

  1. P. S. Kazimirskii, “Solution of the problem of finding a regular factor of a matrix polynomial,” Ukr. Mat. Zh.,32, No. 4, 483–498 (1980).

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  2. P. S. Kazimirskii, Decomposition of Matrix Polynomials into Factors [in Ukrainian], Naukova Dumka, Kiev (1981).

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  3. A. N. Malyshev, “Factorization of matrix polynomials,” Sib. Mat. Zh.,23, No. 3, 136–146 (1982).

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  4. V. M. Petrichkovich, “Linear factors and reducibility of polynomial matrices,” Ukr. Mat. Zh.,36, No. 2, 195–200 (1984).

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  5. I. Gohberg, P. Lancaster, and L. Rodman, Matrix Polynomials, Academic Press, New York-London (1982).

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  6. B. S. Griga and P. S. Kazimirskii, “The question of uniqueness of monic factors of a matrix polynomial,” in: Theoretical and Applied Questions of Algebra and Differential Equations [in Russian], Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1976), pp. 15–18.

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Authors and Affiliations

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

    V. M. Petrichkovich & V. M. Prokip

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  1. V. M. Petrichkovich
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  2. V. M. Prokip
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 38, No. 4, pp. 478–483, July–August, 1986.

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Petrichkovich, V.M., Prokip, V.M. Factorization of polynomial matrices over arbitrary fields. Ukr Math J 38, 409–412 (1986). https://doi.org/10.1007/BF01057299

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  • DOI: https://doi.org/10.1007/BF01057299

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