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JuMP: add sum(A)==0 and bound kappa from above
A trick to force solver to better accuracy
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@ -61,7 +61,9 @@ function create_SDP_problem(matrix_constraints, Δ::GroupAlgebraElement)
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JuMP.@variable(m, A[1:N, 1:N], SDP)
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JuMP.@SDconstraint(m, A >= zeros(size(A)))
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JuMP.@variable(m, κ >= 0.0)
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JuMP.@constraint(m, κ <= 0.26)
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JuMP.@objective(m, Max, κ)
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JuMP.@constraint(m, sum(A[i] for i in eachindex(A)) == 0)
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for (pairs, δ², δ) in zip(matrix_constraints, Δ².coefficients, Δ.coefficients)
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JuMP.@constraint(m, sum(A[i,j] for (i,j) in pairs) == δ² - κ*δ)
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@ -83,8 +85,9 @@ function solve_SDP(sdp_constraints, Δ, solver; verbose=true)
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warn("The solver did not solve the problem successfully!")
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end
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κ = SDP_problem.objVal;
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A = JuMP.getvalue(JuMP.getvariable(SDP_problem, :A));;
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κ = JuMP.getvalue(JuMP.getvariable(SDP_problem, :κ))
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A = JuMP.getvalue(JuMP.getvariable(SDP_problem, :A))
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@show sum(A)
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return κ, A
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end
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