Let be a system of equations in the unknowns . Let be a range vector for and . Let be the norm of the matrix . Let the following iterative scheme for :

Let define as:

If

then the previous iterative scheme will converge to the unique solution of in [8]. The procedure described in section 3.1.1 enable to verify if the scheme will be convergent.

Jean-Pierre Merlet 2012-12-20