The General Solution of Quaternion Matrix Equation Having η-Skew-Hermicity and Its Cramer’s Rule
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 quat...
Main Authors: | Abdur Rehman, Ivan Kyrchei, Ilyas Ali, Muhammad Akram, Abdul Shakoor |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2019-01-01
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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2019/7939238 |
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