Geodesic
The common solution of twelve matrix equations over the quaternions
Filomat, Tome 36 (2022) no. 3, p. 887

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DOI

In this paper, we investigate a system of twelve quaternion matrix equations. Using the real representation of a quaternion matrix, we first derive the least-squares solution with the least norm to the system. Meanwhile, we establish the solvability conditions and an expression of the general solution to the system when it is consistent
DOI : 10.2298/FIL2203887Y
Classification : 15B33, 15A09, 15A24
Keywords: General solution, Least-squares solution, Least norm, Quaternion algebra, Real representation, Matrix equation 
Wei-Jie Yuan; Qing-Wen Wang. The common solution of twelve matrix equations over the quaternions. Filomat, Tome 36 (2022) no. 3, p. 887 . doi: 10.2298/FIL2203887Y
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     title = {The common solution of twelve matrix equations over the quaternions},
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