Consistency of Split Quaternion Matrix Equations $$AX^{\star }-XB=CY+D$$ and $$X-AX^\star B=CY+D$$

2019 ◽  
Vol 29 (4) ◽  
Author(s):  
Xin Liu ◽  
Yang Zhang
Keyword(s):  
Matrix Equations ◽  
Quaternion Matrix ◽  
Split Quaternion ◽  
Split Quaternion Matrix

scholarly journals Matrices over hyperbolic split quaternions

Filomat ◽  
2016 ◽  
Vol 30 (4) ◽  
pp. 913-920 ◽  
Author(s):  
Melek Erdoğdu ◽  
Mustafa Özdemir
Keyword(s):  
Matrix Representation ◽  
Quaternion Matrix ◽  
Split Quaternion ◽  
Split Quaternions ◽  
Quaternion Matrices ◽  
Hyperbolic Split Quaternion ◽  
Split Quaternion Matrix

In this paper, we present some important properties of matrices over hyperbolic split quaternions. We examine hyperbolic split quaternion matrices by their split quaternion matrix representation.

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