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Linear divisors and reducibility of polynomial matrices

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Literature cited

  1. P. S. Kazimirs'kii and V. M. Petrichkovich, “Equivalent polynomial matrices,” in: Theory and Applied Problems of Algebraic and Differential Equations [in Ukrainian], Naukova Dumka, Kiev (1977), pp. 61–66.

    Google Scholar 

  2. P. Lancaster and H. K. Wimmer, “Zur Theorie der λ-Matrizen,” Math. Nachrichten,68, 325–330 (1975).

    Google Scholar 

  3. P. S. Kazimirs'kii and V. R. Zelisko, Dop. Akad. Nauk Ukr. RSR, Ser. A, No. 11, 968–970 (1976).

    Google Scholar 

  4. P. S. Kazimirs'kii, Expansion of Polynomial Matrices by Multipliers [in Ukrainian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  5. J. E. Dennis, J. E. Traub, and R. P. Weber, “The algebraic theory of matrix polynomials,” SIAM J. Numer. Anal.,13, No. 6, 831–845 (1976).

    Google Scholar 

  6. V. M. Petrichkovich, “Absolute decomposability of matrix polynomials,” in: Mathematical Methods and Physicomechanical Fields [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  7. J. H. Bell, “Families of solutions of the unilateral matrix equation,” Proc. Am. Math. Soc.,1, 151–159 (1950).

    Google Scholar 

  8. V. M. Petrichkovich, in: Theory and Applied Problems of Algebraic and Differential Equations [in Ukrainian], Naukova Dumka, Kiev (1977), pp. 92–97.

    Google Scholar 

  9. R. V. Kolyada and V. M. Petrichkovich, “Diagonalization of matrix polynomials,” in: XVIth All Union Algebra Conference, Thesis Reports [in Russian], Leningrad Branch, Academy of Sciences of the USSR, Leningrad (1981).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 2, pp. 195–202, March–April, 1984.

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Petrichkovich, V.M. Linear divisors and reducibility of polynomial matrices. Ukr Math J 36, 176–181 (1984). https://doi.org/10.1007/BF01066951

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