A complex structure-preserving algorithm for split quaternion matrix LDU decomposition in split quaternion mechanics

CALCOLO ◽  
2021 ◽  
Vol 58 (3) ◽  
Author(s):  
Gang Wang ◽  
Tongsong Jiang ◽  
Zhenwei Guo ◽  
Dong Zhang
Keyword(s):  
Complex Structure ◽  
Quaternion Matrix ◽  
Split Quaternion ◽  
Structure Preserving ◽  
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.

Algebraic techniques for diagonalization of a split quaternion matrix in split quaternionic mechanics

2015 ◽  
Vol 56 (8) ◽  
pp. 083509 ◽  
Author(s):  
Tongsong Jiang ◽  
Ziwu Jiang ◽  
Zhaozhong Zhang
Keyword(s):  
Quaternion Matrix ◽  
Split Quaternion ◽  
Split Quaternion Matrix
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