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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… Click to show full abstract
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.
Keywords:
system;
equations commutative;
matrix equations;
commutative quaternion;
system matrix;
quaternion ring
Journal Title: Filomat
Year Published: 2023
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!