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Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients

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Abstract

Two classes of matrix polynomial equations with commuting coefficients are examined. It is shown that the equations in one class have complete sets of solutions, whereas the equations in the other class are unsolvable. A method is given for finding the solution set of an equation in the former class.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems of Mathematics and Mechanics, National Academy of Sciences of Ukraine, ul. Nauchnaya 3-b, Lviv, 79601, Ukraine

    B. Z. Shavarovskii

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  1. B. Z. Shavarovskii
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Correspondence to B. Z. Shavarovskii.

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Original Russian Text © B.Z. Shavarovskii, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 12, pp. 1988–1997.

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Shavarovskii, B.Z. Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients. Comput. Math. and Math. Phys. 47, 1902–1911 (2007). https://doi.org/10.1134/S0965542507120032

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  • DOI: https://doi.org/10.1134/S0965542507120032

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