```

```{seealso}

**GPU:** A version of this lecture which makes use of [jax](https://jax.readthedocs.io) to run the code

on a `GPU` is [available here](https://jax.quantecon.org/newtons_method.html)

A version of this lecture using [JAX](https://github.com/jax-ml/jax) is {doc}`available here <jax:newtons_method>`

```

## Overview

Our next step is to investigate a large market with 3,000 goods.

A JAX version of this section using GPU accelerated linear algebra and

automatic differentiation is available [here](https://jax.quantecon.org/newtons_method.html#application)

automatic differentiation is {doc}`available here <jax:newtons_method>`

The excess demand function is essentially the same, but now the matrix $A$ is $3000 \times 3000$ and the parameter vectors $b$ and $c$ are $3000 \times 1$.