kalmar/PropertyT.jl
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comment solving, results are cached

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kalmar 2017-01-13 18:41:21 +01:00
parent ad6c0a2365
commit a61205d7f5
1 changed files with 12 additions and 12 deletions
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24
SL(3,Z).jl
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@ -8,9 +8,6 @@ using GroupAlgebras
include("property(T).jl")
const VERBOSE=true
function E(i::Int, j::Int, N::Int=3)
@assert i≠j
k = eye(N)
@ -31,15 +28,16 @@ const S₁ = SL_3ZZ_generating_set()
const TOL=10.0^-7
#solver = SCSSolver(eps=10.0^-TOL, max_iters=ITERATIONS, verbose=true);
solver = MosekSolver(MSK_DPAR_INTPNT_CO_TOL_REL_GAP=TOL,
# MSK_DPAR_INTPNT_CO_TOL_PFEAS=1e-15,
# MSK_DPAR_INTPNT_CO_TOL_DFEAS=1e-15,
# MSK_IPAR_PRESOLVE_USE=0,
QUIET=!VERBOSE)
# const VERBOSE=true
#solver = SCSSolver(eps=TOL, max_iters=ITERATIONS, verbose=VERBOSE);
# solver = MosekSolver(MSK_DPAR_INTPNT_CO_TOL_REL_GAP=TOL,
# # MSK_DPAR_INTPNT_CO_TOL_PFEAS=1e-15,
# # MSK_DPAR_INTPNT_CO_TOL_DFEAS=1e-15,
# # MSK_IPAR_PRESOLVE_USE=0,
# QUIET=!VERBOSE)
# κ, A = solve_for_property_T(S₁, solver, verbose=VERBOSE)
# Δ, = prepare_Laplacian_and_constraints(S₁)
product_matrix = readdlm("SL3Z.product_matrix", Int)
L = readdlm("SL3Z.delta.coefficients")[:, 1]
@ -48,11 +46,9 @@ L = readdlm("SL3Z.delta.coefficients")[:, 1]
A = readdlm("SL3Z.SDPmatrixA.Mosek")
κ = readdlm("SL3Z.kappa.Mosek")[1]
# @show eigvals(A)
@assert isapprox(eigvals(A), abs(eigvals(A)), atol=TOL)
@assert A == Symmetric(A)
const A_sqrt = real(sqrtm(A))
SOS_fp_diff, SOS_fp_L₁_distance = check_solution(κ, A_sqrt, Δ)
@ -69,3 +65,7 @@ SOS_rational_diff, SOS_rat_L₁_distance = check_solution(κ_rational, A_sqrt_ra
@assert isa(SOS_rat_L₁_distance, Rational{BigInt})
@show float(SOS_rat_L₁_distance)
@show float(GroupAlgebras.ɛ(SOS_rational_diff))
A_sqrt_augmented = correct_to_augmentation_ideal(A_sqrt_rational)
SOS_rational_diff_aug, SOS_rat_L₁_distance_aug = check_solution(κ_rational, A_sqrt_augmented, Δ_rational)