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make sure Q'*Q hits the fast path for IntervalMatrices
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@ -8,7 +8,7 @@ function augment_columns!(Q::AbstractMatrix)
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return Q
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end
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function __sos_via_sqr!(
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function __sos_via_square!(
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res::SA.AlgebraElement,
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P::AbstractMatrix;
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augmented::Bool,
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@ -50,14 +50,19 @@ function __sos_via_cnstr!(
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return res
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end
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__square(Q::AbstractMatrix) = Q' * Q
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function __square(Q::IntervalMatrices.IntervalMatrix)
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return *(IntervalMatrices.MultiplicationType{:fast}(), Q', Q)
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end
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function compute_sos(
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A::SA.StarAlgebra,
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Q::AbstractMatrix;
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augmented::Bool,
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)
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Q² = Q' * Q
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Q² = __square(Q)
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res = SA.AlgebraElement(zeros(eltype(Q²), length(SA.basis(A))), A)
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res = __sos_via_sqr!(res, Q²; augmented = augmented)
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res = __sos_via_square!(res, Q²; augmented = augmented)
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return res
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end
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