2017
Том 69
№ 9

All Issues

On the uniqueness of the unital divisor of a matrix polynomial over an arbitrary field

Prokip V. M.

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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.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 6, pp 884-889.

Citation Example: Prokip V. M. On the uniqueness of the unital divisor of a matrix polynomial over an arbitrary field // Ukr. Mat. Zh. - 1993. - 45, № 6. - pp. 803–808.

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