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-Fundamentals: Numerical methods

3.1 Principles

There are several problems in which it is required to find the root or the roots of a function: f(x) = 0

The simplest solution would be to plot the function and graphically individuate the roots. However being a manual method, this would be relatively slow and not very precise. Thinking about that every analytical expression can be written in this form, simply by bringing every term to the same side, it is understandable that faster and more accurate methods could bring a great advantage in simplifying this kind of calculation.

In this section the two main numerical methods used to solve this kind of problem are introduced.