What to do if the solution diverges by the method of simple iterations?

Question

Mathematics

It is necessary to solve the SLE by the method of simple iterations. But the decision to diverge.
What needs to be done to make the solution converge?
Here is the coefficient matrix:

Answer 1

You need to try to rearrange the rows of the matrix (the equations in the SLAE), so that the matrix gets the diagonal dominance property . This is not possible for any matrix, but in your case it is possible:
mi - rows in your matrix M.

Answer 2

If with each iteration the solution diverges more and more, then you should go in the opposite direction.