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Use the norm function; shuffle returns of check_solution
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11
SL(3,Z).jl
11
SL(3,Z).jl
@ -55,10 +55,17 @@ A = readdlm("matrix.A.Mosek")
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const A_sqrt = real(sqrtm(A))
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SOS_EOI_fp_L₁, Ω_fp_dist = check_solution(κ, A_sqrt, Δ)
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SOS_fp_diff, SOS_fp_L₁_distance = check_solution(κ, A_sqrt, Δ)
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@show SOS_fp_L₁_distance
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@show GroupAlgebras.ɛ(SOS_fp_diff)
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κ_rational = rationalize(BigInt, κ;)
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A_sqrt_rational = rationalize(BigInt, A_sqrt)
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Δ_rational = rationalize(BigInt, Δ)
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SOS_EOI_rat_L₁, Ω_rat_dist = check_solution(κ_rational, A_sqrt_rational, Δ_rational)
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SOS_rational_diff, SOS_rat_L₁_distance = check_solution(κ_rational, A_sqrt_rational, Δ_rational)
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@assert isa(SOS_rat_L₁_distance, Rational{BigInt})
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@show float(SOS_rat_L₁_distance)
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@show float(GroupAlgebras.ɛ(SOS_rational_diff))
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@ -160,7 +160,8 @@ function check_solution{T<:Number}(κ::T,
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Δ::GroupAlgebraElement{T})
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eoi = EOI(Δ, κ)
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result = resulting_SOS(sqrt_matrix, Δ)
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return sum(abs.((result - eoi).coefficients)), sum(result.coefficients)
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L₁_dist = norm(result - eoi,1)
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return eoi - result, L₁_dist
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end
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function rationalize{T<:Integer, S<:Real}(::Type{T},
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@ -168,4 +169,4 @@ function rationalize{T<:Integer, S<:Real}(::Type{T},
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r(x) = rationalize(T, x, tol=tol)
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return r.(X)
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end
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end;
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