I have a problem like this (tow12, tow22 , tow21 ,tow 11, sig21, sig22 ,t3 and t4 are scalar constant and G matrices are also constant )
cvx_begin
cvx_quiet(true)
variable Z3(N-2,N-2) complex hermitian;
variable zeta3
maximize real(trace(G31*Z3));
subject to
real( trace(G3*Z3) )<= zeta3*PR;
real( trace ( (G32-t3*G5)*Z3 ) ) == zeta3 *t3 *sig21;
real( trace(G4*Z3) ) + zeta3*sig22 == 1;
real( trace(G12*Z3)- (trace(G11*Z3)/t4) ) <= (tow12-tow11);
real( (trace(G22*Z3)/t4) - trace(G21*Z3) ) <= (tow22-tow21);
real(trace(G5*Z3)) + zeta3*sig21 == t4
zeta3 >= 0
Z3 == hermitian_semidefinite(N-2);
cvx_end
After solving the problem The cvx_status is solved but the equality constraints aren’t satisfied I mean for example after run the cvx when I put constraint 2 in command window I get 0. I don’t know why ?