Three Symmetrical Systems of Coupled Sylvester-like Quaternion Matrix Equations
- Resource Type
- Authors
- Qing-Wen Wang; Mahmoud Saad
- Source
- Symmetry; Volume 14; Issue 3; Pages: 550
- Subject
- Physics and Astronomy (miscellaneous)
Chemistry (miscellaneous)
General Mathematics
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Computer Science (miscellaneous)
MathematicsofComputing_NUMERICALANALYSIS
Sylvester-like matrix equation
quaternion
matrix equations
rank
generalized inverse
- Language
- English
- ISSN
- 2073-8994
The current study investigates the solvability conditions and the general solution of three symmetrical systems of coupled Sylvester-like quaternion matrix equations. Accordingly, the necessary and sufficient conditions for the consistency of these systems are determined, and the general solutions of the systems are thereby deduced. An algorithm and a numerical example are constructed over the quaternions to validate the results of this paper.