Consider solving the following system by Jacobi iteration scheme
x + 2my - 2mz = 1
nx + y + nz = 2
2mx + 2my + z = 1
where m, n ∈ 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
Consider solving the following system by Jacobi iteration scheme
x + 2my - 2mz = 1
nx + y + nz = 2
2mx + 2my + z = 1
where m, n ∈ ℤ. With any initial vector, the scheme converges provided m, n, satisfy