  In this paper, we introduce a new iterative method which we call one step
back approach: the main idea is to anticipate the consequence of the iterative
computation per coordinate and to optimize on the choice of the sequence of the
coordinates on which the iterative update computations are done. The method
requires the increase of the size of the state vectors and one iteration step
loss from the initial vector. We illustrate the approach in linear and non
linear iterative equations.
