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A more performant version of SOS decomposition
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@ -87,14 +87,16 @@ function create_SDP_problem(matrix_constraints,
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return m
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end
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function resulting_SOS{T<:Number, S<:Number}(sqrt_matrix::Array{T,2}, elt::GroupAlgebraElement{S})
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zzz = zeros(T, length(elt))
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result::GroupAlgebraElement{T} = GroupAlgebraElement(zzz, elt.product_matrix)
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for i in 1:length(result)
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new_base = GroupAlgebraElement(sqrt_matrix[:,i], elt.product_matrix)
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result += new_base*new_base
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function resulting_SOS{T<:Number}(sqrt_matrix::Array{T,2}, elt::GroupAlgebraElement{T})
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result = zeros(elt.coordinates)
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zzz = zeros(elt.coordinates)
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L = size(sqrt_matrix,2)
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for i in 1:L
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zzz[1:L] = view(sqrt_matrix, :,i)
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new_base = GroupAlgebraElement(zzz, elt.product_matrix)
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result += (new_base*new_base).coordinates
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end
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return result
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return GroupAlgebraElement{T}(result, elt.product_matrix)
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end
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function correct_to_augmentation_ideal{T<:Rational}(sqrt_matrix::Array{T,2})
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