Determinantal Representations of Solutions and Hermitian Solutions to Some System of Two-Sided Quaternion Matrix Equations
Within the framework of the theory of quaternion row-column determinants previously introduced by the author, we derive determinantal representations (analogs of Cramer’s rule) of solutions and Hermitian solutions to the system of two-sided quaternion matrix equations A1XA1⁎=C1 and A2XA2⁎=C2. Since the Moore-Penrose inverse is a necessary tool to solve matrix equations, we use determinantal representations of the Moore-Penrose inverse previously obtained by the theory of row-column determinants.
2015 ◽
Vol 53
(1-2)
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pp. 321-341
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2018 ◽
Vol 336
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pp. 490-499
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2010 ◽
Vol 217
(5)
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pp. 2024-2030
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2016 ◽
Vol 2016
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pp. 1-13
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2015 ◽
Vol 265
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pp. 945-957
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