Journal of Mathematical Sciences

, Volume 79, Issue 6, pp 1402–1405 | Cite as

On common monic divisors having a given canonical diagonal form for matrix polynomials

  • V. M. Petrichkovich
  • V. M. Prokip
  • F. A. Prukhnits'kii
Article
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Abstract

Under certain restrictions we give a condition for the existence of common monic divisors having a given diagonal form for nonsingular matrix polynomials, and we propose a method of finding them.

Keywords

Matrix Polynomial Diagonal Form Nonsingular Matrix Canonical Diagonal Form Monic Divisor 

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Literature Cited

  1. 1.
    F. R. Gantmakher,Theory of Matrices, Chelsea, New York (1959).Google Scholar
  2. 2.
    V. M. Petrichkovich, “Semiscalar equivalence and factorization of polynomial matrices,”Ukr. Mat. Zh.,42, No. 5, 644–649 (1990).MATHMathSciNetGoogle Scholar
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    M. Newman,Integral Matrices, Academic Press, New York (1972).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • V. M. Petrichkovich
  • V. M. Prokip
  • F. A. Prukhnits'kii

There are no affiliations available

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