Results 181 to 190 of about 9,570 (204)

On the split quaternion matrix equation $$AX=B$$

Banach Journal of Mathematical Analysis, 2019
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Liu, Xin, He, Zhuo-Heng
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Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics

Computer Physics Communications, 2018
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Tongsong Jiang, Zhaozhong Zhang, Ziwu Jiang   +2 more
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Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices

Advances in Applied Clifford Algebras, 2015
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Erdoğdu, Melek, Özdemir, Mustafa
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Intrinsic transfer matrix method and split quaternion formalism for multilayer media

Wave Motion, 2016
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Pop, M.-I., Cretu, N.
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A note on quaternion matrices and split quaternion matrix pencils

Journal of Applied Mathematics and Computing, 2017
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On Hermitian Solutions of the Split Quaternion Matrix Equation $$AXB+CXD=E$$ A X B + C X D = E

Advances in Applied Clifford Algebras, 2017
In this paper, we discuss Hermitian solutions of split quaternion matrix equation $$AXB+CXD=E,$$ where X is an unknown split quaternion Hermitian matrix, and A, B, C, D, E are known split quaternion matrices
Shi-Fang Yuan, Qing-Wen Wang, Yi-Bin Yu, Yong Tian   +3 more
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Consistency of Split Quaternion Matrix Equations $$AX^{\star }-XB=CY+D$$ and $$X-AX^\star B=CY+D$$

Advances in Applied Clifford Algebras, 2019
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Xin Liu, Yang Zhang
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A Classical System of Matrix Equations Over the Split Quaternion Algebra

Advances in Applied Clifford Algebras
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Kai-Wen Si, Qing-Wen Wang, Lv-Ming Xie
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A new structure-preserving algorithm based on the semi-tensor product of matrices for split quaternion matrix LDU decomposition and its applications

Journal of Computational and Applied Mathematics
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Wei, Anli, Li, Ying, Ding, Wenxv, Zhao, Jianli   +3 more
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Real matrix representations of complex split quaternions with applications

Mathematical Methods in the Applied Sciences, 2020
In this paper, we introduce 8×8 real matrix representations of complex split quaternions. Then, the relations between real matrix representations of split and complex split quaternions are stated. Moreover, we investigate some linear split and complex split quaternionic equations with split Fibonacci and complex split Fibonacci quaternion coefficients.
Melek Erdoğdu, Mustafa Özdemir
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