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A real quaternion matrix equation with applications
Linear and Multilinear Algebra, 2013Zhuo-Heng He, Qing-Wen Wang
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P-(skew)symmetric common solutions to a pair of quaternion matrix equations
Applied Mathematics and Computation, 2008Qing-Wen Wang
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Cramer’s rule for a system of quaternion matrix equations with applications
Applied Mathematics and Computation, 2018Guang-Jing Song +2 more
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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, 2017Shi-Fang Yuan +2 more
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Matrix Representation on Quaternion Algebra
2016The quaternions, denoted by H, were first defined by W.R. Hamilton in 1843 as an extension of the four dimensions complex numbers. Hamilton has included a new multiplication process to vector algebra by defining quaternions for two vectors where the division process is available.
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Constrained two-sided coupled Sylvester-type quaternion matrix equations
Automatica, 2019Qing-Wen Wang, Zhuo-Heng He
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On solutions of matrix equation XF−AX=C and $XF-A\widetilde{X}=C$ over quaternion field
Journal of Applied Mathematics and Computing, 2010Caiqin Song, Song Caiqin
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The common solution to six quaternion matrix equations with applications
Applied Mathematics and Computation, 2008Qing-Wen Wang
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L-structured quaternion matrices and quaternion linear matrix equations
Linear and Multilinear Algebra, 2016Shi-Fang Yuan, Qing-Wen Wang
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Decompositions of Quaternions and Their Matrix Equivalents
2010Drahoslava Janovská, Gerhard Opfer
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