**5. Conclusions**

Many problems in science and engineering are modeled in such a way that, for their solution, it is necessary to solve systems of nonlinear equations. Therefore, designing iterative methods for solving these types of problems is an important task and it is a fruitful area of research. In this chapter, a review of the different techniques for constructing iterative methods is presented. Moreover, it is shown that real discrete dynamics tools are useful for analyzing the stability of the designed methods, selecting those with good dynamical behavior. In the numerical section, a chemical problem is used for testing the presented methods and the theoretical results are confirmed.
