I am trying to use Laplacian Solvers to solve a linear equation. I am just learning it (form here), so my question is very basic and it might not even make sense.
Suppose that we want to solve Ax=b, where matrix A is not a Laplacian matrix. Under what condition on A and b, we can solve Ax=b using Laplacian solvers?
P.S. Introducing a good reference will be helpful too.