Why inv_pos in the restrict make this cvx-solving fail

When I comment other restricts out, only save ：inv_pos(E) <= P(1)* real(trace(WH(:,:,i,1)V(:,:,1)H(:,:,i,1)')) ; The cvx_status becomes ‘failed’. otherwise i save others and comment this restrict, cvx_status becomes ‘Solved’ .Here’s my code：
for s = 1:scamax
cvx_begin sdp quiet
cvx_solver sedumi
variables z_t z_r E F
variable beta_ES(N,K)
variable V(N,N,K) complex semidefinite
minimize l(1) * inv_pos(z_t) + l(2) inv_pos(z_r)
subject to
z_t * log(2) <= real(log(1+1/(E_rF_r))-(E-E_r)/(E_r(1+E_rF_r))-(F-F_r)/(F_r(1+E_r*F_r)));
z_r <= real(log(1+(P(2)real(trace(WH(:,:,i,2)V(:,:,2)H(:,:,i,2)')))/delte)/log(2));
% inv_pos(E) <= P(1) real(trace(WH(:,:,i,1)*V(:,:,1)H(:,:,i,1)')) ;
F/delte >= 1 + P(2) * real(trace(WH(:,:,i,2)*V(:,:,2)*H(:,:,i,2)')) / delte ;
real(trace(H_u(:,:,i,1)*V(:,:,1))) >= real(trace(H_u(:,:,i,2)*V(:,:,2)));
for k = 1:K
for n = 1:N
V(n,n,k) == beta_ES(n,k);
V(n,n,k) >= 0;
V(n,n,k) <= 1;
end
end
for n = 1:N
sum(beta_ES(n,:)) == 1;
end
V >= 0;
cvx_end
E_r = E;
F_r = F;
end
E_r and F_r are optimized values in iteration after cvx solving

Sofa. It is quite an abnormal problem.

Don’t use the quiet option.

Your description is not quite clear as to which result goes with which constraints being in the model. The look at the solver and CVX output.

I suspect CVX is reporting either
infeasible
unbounded
or
solver failing due to numerical problems.

If infeasible, follow all but section of the advice at Debugging infeasible models - YALMIP , which also applies to CVX.

Ir unbounded, follow the advice at Infeasible or unbounded - YALMIP , which also applies to CVX.