Category:Definitions/Newton-Raphson Method

This category contains definitions related to Newton-Raphson Method.
Related results can be found in Category:Newton-Raphson Method.

Let $f: \R \to \R$ be a real function which has a root which is to be found.

The Newton-Raphson method is an iterative technique for achieving this, by setting up the following iterative function:

$x_{n + 1} = x_n - \dfrac {\map f {x_n} } {\map {f'} {x_n} }$

where $x_0$ is a first approximation to the root.

Convergence is not guaranteed.