Abstract
We establish conditions for the existence of a unital divisor with given characteristic polynomial of a polynomial matrix over a factorial domain.
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References
V. M. Prokip, “On the uniqueness of a unital divisor of a matrix polynomial over an arbitrary field,” Ukr. Mat. Zh., 45, No. 6, 803–808 (1993).
V. M. Prokip, “On factorization of polynomial matrices over the domain of principal ideals,” Ukr. Mat. Zh., 48, No. 10, 1435–1439 (1996).
V. M. Petrychkovych and V. M. Prokip, “On factorization of polynomial matrices over an arbitrary field,” Ukr. Mat. Zh., 43, No. 4, 478–483 (1986).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 10, pp. 1438–1440, October, 1998.
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Prokip, V.M. Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials. Ukr Math J 50, 1644–1647 (1998). https://doi.org/10.1007/BF02513497
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DOI: https://doi.org/10.1007/BF02513497