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...

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Bibliographic Details
Main Authors: Abdur Rehman, Ivan Kyrchei, Ilyas Ali, Muhammad Akram, Abdul Shakoor
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/7939238