Traditionally, | v |=max(|v_i|). But in Julia we have:
julia> v=[1.0 2.0 -5.0]
1×3 Array{Float64,2}:
1.0 2.0 -5.0
julia> norm(v)
5.477225575051661
julia> norm(v,2)
5.477225575051661
julia> norm(v,Inf)
8.0
julia> norm(v,1)
5.0
In my opinion it is changed, that is, I guess that the correct way is norm(v,Inf)=5 and norm(v,1)=8. Am I wrong?