```
The code of problem is as the picture shown
```

```
K=4;
N=4;
nois_var_ak=1;
nois_var_dk=1;
bar_r=[10 10 10 10];
P_hat=0.00001;
h_k=sqrt(1/2)*(randn(1,K)+1i*randn(1,K));
cvx_begin
variable Fk(N,K) semidefinite;% c7
variable rho_k(K) ;
%variable mu_k(K) nonnegative;
all_F_k=0;
for k=1:K
all_F_k=all_F_k+trace(Fk(k))
end
minimize( all_F_k )
subject to
% c3
0<=rho_k(k)<=1;
%========================================================
%c5
total = 0;
for k = 1:K
sumj = 0;
for j = 1:K
if j ~= k
sumj = sumj + h_k(k) * Fk(j) * h_k(k)' ;
end
end
%total = total + mu(k) * (h_k(k) * Fk(k) * h_k(k)' - sumj) * inv_pos( bar_r(k) );
total = total + mu(k) * ( ( h_k(k) * Fk(k) * h_k(k)'* inv_pos( bar_r(k) ) )- sumj) ;
end
%=============================================================
%c10
sumj_10=0
for j=1:K
sumj_10=sumj_10+(h_k(k)'*Fk(j)*h_k(k));
sumj_10+(nois_var_ak)*(nois_var_ak) >= P_hat * inv_pos(1- rho_k(k));%c10
end
%=============================================================
cvx_end
```

So in fact,i want to minimize the F_k,and find the optimal value of F_k and rho_k,but after finishing runing this code,the window just show me one optimal value,and i am not sure that this optimal value is min F_k , F_k or rho_k

Status: Solved

Optimal value (cvx_optval): -0.86155