Numerical Root Finding

A common problem we have to solve is finding the solution of equations of the form:

\[ f(x) = 0 \]

In the case where a simple analytic solution does not exist, numerical solutions can be employed. We shall take a look at three of these techniques: the bisection method, the secant method and the Newton Raphson method.

All of these methods require that the function \(f\) is continuous around the root.