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

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.

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Datum:1993
Hauptverfasser: Prokip, V. M., Khudyi, M. I., Прокіп, В. М., Худий, М. І.
Format: Artikel
Sprache:Ukrainisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1993
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5919
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal