A method for finding a common linear divisor of the matrix polynomials over an arbitrary field |
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| Authors: | V M Prokip M I Khudyi |
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| Institution: | (1) Institute of Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, L'vov;(2) L'vov Polytechnical Institute, L'vov |
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| Abstract: | Conditions are found which guarantee the existence of a common linear unital divisor with a given characteristic polynomial for the regular matrix polynomials over an arbitrary field. The result obtained is applied when finding a common solution of matrix polynomial equations.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 8, pp. 1181–1183, August, 1993. |
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