The General Solution of Quaternion Matrix Equation Having η-Skew-Hermicity and Its Cramer’s Rule
2019 ◽
Vol 2019
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pp. 1-25
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Keyword(s):
We determine some necessary and sufficient conditions for the existence of the η-skew-Hermitian solution to the following system AX-(AX)η⁎+BYBη⁎+CZCη⁎=D,Y=-Yη⁎,Z=-Zη⁎ over the quaternion skew field and provide an explicit expression of its general solution. Within the framework of the theory of quaternion row-column noncommutative determinants, we derive its explicit determinantal representation formulas that are an analog of Cramer’s rule. A numerical example is also provided to establish the main result.
2019 ◽
Vol 2019
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pp. 1-8
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2016 ◽
Vol 2016
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pp. 1-13
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2019 ◽
Vol 35
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pp. 266-284
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Keyword(s):