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Avoid symmetrizing diagonal in hermitian power #1321

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Apr 28, 2025
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Avoid symmetrizing diagonal in hermitian power #1321

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12 changes: 1 addition & 11 deletions src/symmetric.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -866,24 +866,14 @@ function ^(A::Hermitian, p::Integer)
else
retmat = Base.power_by_squaring(A, p)
end
for i in diagind(retmat, IndexStyle(retmat))
retmat[i] = real(retmat[i])
end
return Hermitian(retmat)
end
function ^(A::Hermitian{T}, p::Real) where T
isinteger(p) && return integerpow(A, p)
F = eigen(A)
if all(λ -> λ ≥ 0, F.values)
retmat = (F.vectors * Diagonal((F.values).^p)) * F.vectors'
if T <: Real
return Hermitian(retmat)
else
for i in diagind(retmat, IndexStyle(retmat))
retmat[i] = real(retmat[i])
end
return Hermitian(retmat)
end
return Hermitian(retmat)
else
retmat = (F.vectors * Diagonal((complex.(F.values).^p))) * F.vectors'
if T <: Real
Expand Down