Upper and lower bounds for the eigenvalues of three types of matrices M are established. If M is written as the sum of a diagonal matrix D plus a matrix A, the real parts of the eigenvalues of M must ...

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 ...