Mosek solved SDP about 'sol'

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cvx_solver mosek
cvx_save_prefs
cvx_begin
    variable u
    variable X(M+1,M+1) hermitian
    maximize  real(trace(G_u*X)+u*(h_u+1))
    subject to
        real(trace(G_e*X)+u*(h_e+1))-1>=0;
        real(trace(G_e*X)+u*(h_e+1))-1<=0;
        u>=0;
        trace(E*X)-u>=0;
        trace(E*X)-u<=0;
        X == hermitian_semidefinite(M+1);
cvx_end
2

You haven’t provided input data, so the problem is not reproducible. You haven’t shown the solver or CVX output, so we don’t know what happened or what the issue is.

You have 2 equality constrains disguised as pairs of inequality constraints.
Perhaps the problem was reported infeasible? if so, all but section 1 of https://yalmip.github.io/debugginginfeasible also applies to CVX.

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image
image403×602 65.2 KB

thanks your resopnse。i just wanna express this figure

4

So? What are the results? What is your issue?

BTW, iit is better to express equality constrains with ==, rather than a pair of <=, >=.

5

thanks,your answer is helpful