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On the factorization of polynomial matrices over the domain of principal ideals

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Abstract

We consider the problem of decomposition of polynomial matrices over the domain of principal ideals into a product of factors of lower degrees with given characteristic polynomials. We establish necessary and, under certain restrictions, sufficient conditions for the existence of the required factorization.

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References

  1. P. S. Kazimirs’kyi,Factorization of Polynomial Matrices [in Ukrainian], Naukova Dumka, Kiev 1981.

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  2. V. M. Petrichkovich and V. M. Prokip, “On the factorization of polynomial matrices over an arbitrary field,”Ukr. Mat. Zh.,38, No. 4, 478–483 (1986).

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  3. V. M. Prokip, “On the factorization of a matrix polynomial into factors with given characteristic polynomials,”Dop. Akad. NaukUkr. SSR, Ser. A, No. 3, 20–22 (1991).

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  4. V. M. Prokip, “Parallel factorizations of matrix polynomials over an arbitrary field,” in:Mat. Met. Fiz.-Mekh. Polya,38, 24–28 (1995).

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Authors
  1. V. M. Prokip
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Prokip, V.M. On the factorization of polynomial matrices over the domain of principal ideals. Ukr Math J 48, 1628–1632 (1996). https://doi.org/10.1007/BF02377831

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  • DOI: https://doi.org/10.1007/BF02377831

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