Three Symmetrical Systems of Coupled Sylvester-like Quaternion Matrix Equations
Mahmoud Saad Mehany, Qing‐Wen Wang
Abstract
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.
Topics & Concepts
QuaternionSylvester equationSylvester matrixMathematicsMatrix (chemical analysis)Consistency (knowledge bases)Applied mathematicsMathematical analysisGeometryPhysicsEigenvalues and eigenvectorsPolynomial matrixMaterials scienceComposite materialMatrix polynomialQuantum mechanicsPolynomialMatrix Theory and AlgorithmsAlgebraic and Geometric AnalysisAdvanced Topics in Algebra