# Category:Newton's Method

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This category contains pages concerning **Newton's Method** in the context of **Numerical Analysis**:

**Newton's method** is a method of solving an equation expressed as a real function for which there may be no convenient closed form solution.

The derivative of the function has to be known in order to use **Newton's method**.

Let the equation to be solved be of the form:

- $y = \map f x$

Let the value of $x$ be required for a given $y$.

Let $x_1$ be an initial guess.

Then an iterative improvement on $x_1$ is of the form:

- $x_2 = x_1 - \dfrac {\map f {x_1} - y} {\map {f'} {x_1} }$

where $\map {f'} {x_1}$ is the derivative of $f$ with respect to $x$ evaluated at $x_1$.

## Pages in category "Newton's Method"

The following 4 pages are in this category, out of 4 total.