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On One Class of Divisors of Polynomial Matrices over Integral Domains

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Abstract

We establish conditions for the existence of a unital divisor for a polynomial matrix over an integral domain of characteristic zero in the case where its eigenvalues are known.

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REFERENCES

  1. Ya. B. Lopatinskii, "Factorization of a polynomial matrix," Nauchn. Zap. L'vov. Politekh. Inst., Ser. Fiz. Mat., Issue 38, No. 2, 3-7 (1957).

    Google Scholar 

  2. P. S. Kazimirs'kyi, Factorization of Matrix Polynomials [in Ukrainian], Naukova Dumka, Kiev (1981).

    Google Scholar 

  3. I. Gohberg, P. Lancaster, and L. Rodman, Matrix Polynomials, Academic Press, New York (1982).

    Google Scholar 

  4. V. M. Prokip, "On multiplicativity of canonical diagonal forms of matrices," Izv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 7, 60-62 (1992).

    Google Scholar 

  5. M. Newman, Integral Matrices, Academic Press, New York (1972).

    Google Scholar 

  6. K. A. Rodosskii, Euclidean Algorithm [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  7. V. M. Prokip, "On multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals. II," Ukr. Mat. Zh., 53, No.2, 274-277 (2001).

    Google Scholar 

  8. V. M. Prokip, "On the solvability of linear matrix equations over a factorial domain," Visn. Univ. "L'vivs'ka Politekhnika," Ser. Prykl. Mat., No. 346, 68-72 (1998).

    Google Scholar 

  9. V. M. Prokip, O. M. Mel'nyk, and V. M. Kuzakon', "On one class of divisors of polynomial matrices over a field," Visn. L'viv. Nats. Univ., Ser. Prykl. Mat. Informat., Issue 5, 39-44 (2002).

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Authors and Affiliations

  1. Institute for Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lviv

    V. M. Prokip

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  1. V. M. Prokip
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Prokip, V.M. On One Class of Divisors of Polynomial Matrices over Integral Domains. Ukrainian Mathematical Journal 55, 1329–1337 (2003). https://doi.org/10.1023/B:UKMA.0000010762.30123.08

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010762.30123.08

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