Literature cited
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.
P. Lancaster and H. K. Wimmer, “Zur Theorie der λ-Matrizen,” Math. Nachrichten,68, 325–330 (1975).
P. S. Kazimirs'kii and V. R. Zelisko, Dop. Akad. Nauk Ukr. RSR, Ser. A, No. 11, 968–970 (1976).
P. S. Kazimirs'kii, Expansion of Polynomial Matrices by Multipliers [in Ukrainian], Naukova Dumka, Kiev (1981).
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).
V. M. Petrichkovich, “Absolute decomposability of matrix polynomials,” in: Mathematical Methods and Physicomechanical Fields [in Russian], Naukova Dumka, Kiev (1979).
J. H. Bell, “Families of solutions of the unilateral matrix equation,” Proc. Am. Math. Soc.,1, 151–159 (1950).
V. M. Petrichkovich, in: Theory and Applied Problems of Algebraic and Differential Equations [in Ukrainian], Naukova Dumka, Kiev (1977), pp. 92–97.
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).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 2, pp. 195–202, March–April, 1984.
Rights and permissions
About this article
Cite this article
Petrichkovich, V.M. Linear divisors and reducibility of polynomial matrices. Ukr Math J 36, 176–181 (1984). https://doi.org/10.1007/BF01066951
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01066951