Lower bounds for the product of the eigenvalues of the solutions to tihe matrix equations
Masoud Hajarian · Filomat · 2015
In this paper, we propose the inequalities which are satisfied by the determinant of the solutions to the systems of matrix equations {AXBT+BXTAT = C; DXET + EXTDT = F, (I) {AXBT + BXAT = C; DXET + EXDT = F. (II) By applying the proposed inequalities, lower bounds for the product of the eigenvalues of the solutions to the systems of matrix equations (I) and (II) are established.