Let SE denote the least-squares symmetric solution set of the matrix equation AX B = C, where A, B and C are given matrices of suitable size. To find the optimal approximate solution in the set SE to ...

Abstract.In this paper, we propose the inequalities which are satisfied by the determinant of the solutions to the systems of matrix equations { AX B T +B X T A T =C, DX E T +E X T D T =F, (I) { AX B ...