2019
Том 71
№ 11

All Issues

A method for finding a common linear divisor of the matrix polynomials over an arbitrary field

Khudyi M. I., Prokip V. M.

Full text (.pdf)


Abstract

Conditions are found for existence of a common linear unital divisor with a given characteristic polynomial of regular matrix polynomials over an arbitrary field. The result obtained is also applied to finding a common solution of matrix polynomial equations.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 8, pp 1321-1324.

Citation Example: Khudyi M. I., Prokip V. M. A method for finding a common linear divisor of the matrix polynomials over an arbitrary field // Ukr. Mat. Zh. - 1993. - 45, № 8. - pp. 1181–1183.

Full text