Symmetric and skew-antisymmetric solutions to systems of real quaternion matrix equations
In this paper we consider symmetric and skew-antisymmetric solutions to certain matrix equations over the real quaternion algebra H H . First, a criterion for a quaternion matrix to be symmetric and skew-antisymmetric is given. Then, necessary and sufficient conditions are obtained for the matrix equation AX=C A X = C and the following system
real quaternion algebra system of quaternion matrix equations inner inverse reflexive inverse symmetric and skew-antisymmetric matrix