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

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Ukrainian Mathematical Journal Aims and scope

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.

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References

  1. P. S. Kazimirskii and M. I. Khudyi, “A method for isolating a linear factor in a matrix polynomial,”Dokl. Akad. Nauk. Ukr. SSR, Ser. A, No. 5, 394–395 (1970).

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  2. F. R. Gantmacher,The Theory of Matrices, Chelsea, New York (1990).

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Authors and Affiliations

  1. Institute of Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, L'vov

    V. M. Prokip

  2. L'vov Polytechnical Institute, L'vov

    M. I. Khudyi

Authors
  1. V. M. Prokip
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  2. M. I. Khudyi
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 8, pp. 1181–1183, August, 1993.

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Prokip, V.M., Khudyi, M.I. A method for finding a common linear divisor of the matrix polynomials over an arbitrary field. Ukr Math J 45, 1321–1324 (1993). https://doi.org/10.1007/BF01070983

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  • DOI: https://doi.org/10.1007/BF01070983

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