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fix sos_problem_dual
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@ -12,7 +12,7 @@ function sos_problem_dual(
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@assert parent(elt) == parent(order_unit)
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@assert parent(elt) == parent(order_unit)
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algebra = parent(elt)
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algebra = parent(elt)
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moment_matrix = let m = algebra.mstructure
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moment_matrix = let m = algebra.mstructure
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[m[-i, j] for i in axes(m, 1) for j in axes(m, 2)]
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[m[-i, j] for i in axes(m, 1), j in axes(m, 2)]
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end
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end
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# 1 variable for every primal constraint
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# 1 variable for every primal constraint
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@ -20,16 +20,16 @@ function sos_problem_dual(
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# Symmetrized:
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# Symmetrized:
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# 1 dual variable for every orbit of G acting on basis
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# 1 dual variable for every orbit of G acting on basis
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model = Model()
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model = Model()
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@variable model y[1:length(basis(algebra))]
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JuMP.@variable(model, y[1:length(basis(algebra))])
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@constraint model λ_dual dot(order_unit, y) == 1
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JuMP.@constraint(model, λ_dual, dot(order_unit, y) == 1)
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@constraint(model, psd, y[moment_matrix] in PSDCone())
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JuMP.@constraint(model, psd, y[moment_matrix] in PSDCone())
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if !isinf(lower_bound)
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if !isinf(lower_bound)
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throw("Not Implemented yet")
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throw("Not Implemented yet")
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@variable model λ_ub_dual
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JuMP.@variable(model, λ_ub_dual)
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@objective model Min dot(elt, y) + lower_bound * λ_ub_dual
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JuMP.@objective(model, Min, dot(elt, y) + lower_bound * λ_ub_dual)
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else
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else
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@objective model Min dot(elt, y)
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JuMP.@objective(model, Min, dot(elt, y))
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end
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end
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return model
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return model
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