Geodesic
A system of matrix equations over the commutative quaternion ring
Filomat, Tome 37 (2023) no. 1, p. 97

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DOI

In this paper, we propose a necessary and sufficient condition for the solvability to a system of matrix equations over the commutative quaternion ring, and establish an expression of its general solution when it is solvable. We also present an algorithm for finding an approximate solution to the system when it is inconsistent. Finally, we give an example to illustrate the main results of this paper.
DOI : 10.2298/FIL2301097X
Classification : 15A09, 15A24, 15B33
Keywords: Sylvester-type matrix equations, Commutative quaternion, General solution, Approximate solution 
Lv-Ming Xie; Qing-Wen Wang. A system of matrix equations over the commutative quaternion ring. Filomat, Tome 37 (2023) no. 1, p. 97 . doi: 10.2298/FIL2301097X
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     title = {A system of matrix equations over the commutative quaternion ring},
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     language = {en},
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