Abstract
Conditions are established under which the unital divisor extracted from a matrix polynomial over an arbitrary field is determined uniquely by its characteristic polynomial. The result obtained is applied to the problem of solving matrix polynomial equations.
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Translated from Ukrainskii Matematicheskii Zhumal, Vol. 45, No. 6, pp. 803–808, June, 1993.
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Prokip, V.M. On the uniqueness of the unital divisor of a matrix polynomial over an arbitrary field. Ukr Math J 45, 884–889 (1993). https://doi.org/10.1007/BF01061440
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DOI: https://doi.org/10.1007/BF01061440