-SKEW-HERMITIAN SOLUTION TO A SYSTEM OF TENSOR EQUATIONS OVER THE QUATERNION ALGEBRA
We present necessary and sufficient conditions for the existence of the general f-skew-Hermitian solution to a system of tensor equations over the quaternion algebra, and give an expression of the general f-skew-Hermitian solution to this system when it is solvable. Moreover, we give a numerical example to illustrate the results of this paper.
quaternion, tensor equation, Moore-Penrose inverse, -skew-Hermitian.
