This package computes the Smith Normal Form on integer matrices and provides the respective transformation matrices.
A simple example is the matrix
julia> A = [4 2; 0 8]
2×2 Matrix{Int64}:
4 2
0 8where
julia> using IntegerSmithNormalForm
julia> S, B, T = snf(A)
([1 0; 4 -1], [2 0; 0 16], [0 1; 1 -2])and we have
julia> S*A*T
2×2 Matrix{Int64}:
2 0
0 16
julia> elementary_divisors(A)
2-element Vector{Int64}:
2
16