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Factorization of symmetric matrices over polynomial rings with involution

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Abstract

We find necessary and sufficient conditions for the existence of a factorization of symmetric matrices over polynomial rings with involution.

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Literature cited

  1. V. R. Zelisko, “Admissible factorizations of regular symmetric matrices over rings of polynomials and quasipolynomials with involution,”Alg. Top., 94–103 (1996).

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

    Google Scholar 

  3. P. S. Kazimirskii and V. P. Shchedrik, “On solutions of matrix-polynomial one-sided equations,”Dokl. Akad. Nauk SSSR,304, No. 2, 271–274 (1989).

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  4. B. D. Lyubachevskii, “Factorization of symmetric matrices with elements in a ring with involution. Pt. 1,”Sib. Mat. Zh.,14, No. 2, 337–356 (1973).

    Google Scholar 

  5. V. P. Shchedrik, “A criterion for finding a real factor of a matrix polynomial,”Ukr. Mat. Zh.,39, No. 3, 370–373 (1987).

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Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 91–95.

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Zelisko, V.R., Kuchma, M.I. Factorization of symmetric matrices over polynomial rings with involution. J Math Sci 96, 3017–3021 (1999). https://doi.org/10.1007/BF02169698

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  • DOI: https://doi.org/10.1007/BF02169698

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