I saw several questions similar to what I am asking but couldn't find what I am looking for. So here it is. Let:
$$J = DA$$
where $D$ is a diagonal matrix and $A$ is a symmetric matrix. I know the eigenvalues of $A$ and I want the bounds on the eigenvalues of $J$ in terms of eigenvalues of $A$ and $D$. Here, $D$ has all positive eigenvalues (the elements on its diagonal).