kalmar/PropertyT.jl
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update Orbit-wise to changes in CheckSolution.jl

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kalmarek 2018-08-14 19:21:46 +02:00
parent ddfc4dc47b
commit 919e1bb103
1 changed files with 11 additions and 2 deletions
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13
src/Orbit-wise.jl
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@ -249,8 +249,17 @@ function check_property_T(sett::Settings)
warn("The solution matrix doesn't seem to be positive definite!")
if λ > 0
return check_λ(sett.name, sett.S, λ, P, sett.radius, sett.logger)
RG = GroupRing(parent(first(sett.S)), load(filename(sett.name, :pm), "pm"))
Δ = RG(load(filename(name, :Δ), "Δ")[:, 1])
@logtime logger Q = real(sqrtm(Symmetric(P)))
sgap = distance_to_cone(Δ, λ, Q, wlen=2*sett.radius, logger=sett.logger)
Kazhdan_κ = Kazhdan(sgap, length(S))
if Kazhdan_κ > 0
info(logger, "κ($name, S) ≥ $Kazhdan_κ: Group HAS property (T)!")
return true
end
end
info(sett.logger, "κ($(sett.name), S) ≥ $λ < 0: Tells us nothing about property (T)")
info(LOGGER, "κ($name, S) ≥ $λ < 0: Tells us nothing about property (T)")
return false
end