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Determinantal Representations for the Solution of the Generalized Sylvester Quaternion Matrix Equation

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By using the determinantal representations of the Moore–Penrose inverse matrix, within the framework of the theory of noncommutative column–row determinants, we obtain determinantal representations (analogs of the Cramer rule) for the solution of the generalized Sylvester quaternion matrix equation AXB + CYD = E .

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Authors and Affiliations

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

    І. І. Kyrchei

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 3, pp. 97–106, August–October, 2017.

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Kyrchei, І.І. Determinantal Representations for the Solution of the Generalized Sylvester Quaternion Matrix Equation. J Math Sci 246, 234–244 (2020). https://doi.org/10.1007/s10958-020-04733-0

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