Consider solving the following system by Jacobi iteration scheme
$$\begin{array}{l}x+2 m y-2 m z&=1 \\ n x+y+n z&=2 \\ 2 m x+2 m y+z&=1 \end{array}$$
where $m, n \in \mathbb{Z}$. With any initial vector, the scheme converges provided $m, n$, satisfy
1. $m+n=3$
2. $m>n$
3. $m<n$
4. $ m=n$