Does eig() which need Arpack.jl not support zygote?

General Usage
1 
julia> using Arpack

julia> function f(x)
       val, vec = eigs( x; nev = 1, which = :LM, maxiter = 300 )
           return log(real(val[1]))
       end
f (generic function with 1 method)

julia> x0 = rand(4,4)
4×4 Matrix{Float64}:
 0.817398   0.922428  0.819335  0.940888
 0.0612446  0.514584  0.979874  0.496911
 0.936561   0.282771  0.659465  0.618731
 0.207618   0.304318  0.504621  0.247501

julia> 

julia> using Zygote

julia> gradient(f,x0)
ERROR: Compiling Tuple{Arpack.var"##_eigs#17", Int64, Int64, Symbol, Float64, Int64, Nothing, Vector{Float64}, Bool, Symbol, Int64, typeof(Arpack._eigs), Matrix{Float64}, LinearAlgebra.UniformScaling{Bool}}: try/catch is not supported.
Refer to the Zygote documentation for fixes.
https://fluxml.ai/Zygote.jl/latest/limitations

I only need the largest eigenvalue of a matrix in my calculation, so I call the eig() function, but it doesn’t seem to support zygote.