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In this paper, we introduce a new iterative method which we call one stepback approach: the main idea is to anticipate the consequence of the iterativecomputation per coordinate and to optimize on the choice of the sequence of thecoordinates on which the iterative update computations are done. The methodrequires the increase of the size of the state vectors and one iteration steploss from the initial vector. We illustrate the approach in linear and nonlinear iterative equations.

Introducing One Step Back Iterative Approach to Solve Linear and Non Linear Fixed Point Problem