Solving a linear system Ax=b with A being sparse matrix and b is a dense vector in Julia
Solution 1:
Define "doesn't work". Perhaps with a minimum (non)working example.
For instance, I just tried this and it seemed to work beautifully:
julia> using LinearAlgebra, SparseArrays
julia> m = sparse(repeat(1:1000, inner=10), rand(1:1000, 10000), rand(10000));
julia> rhs = rand(1000);
julia> m \ rhs
1000-element Vector{Float64}:
-0.8976027048792632
1.451352807805229
3.6881731426288042
-0.8042571078676164
-2.7624771730498727
Without more information about your particular problem, there's nothing to be said.