# Mathematical Definition

# Plots

The contour of the function:

# Description and Features

- The function is continuous.
- The function is convex.
- The function can be defined on n-dimensional space.
- The function is unimodal.

# Input Domain

The function can be defined on any input domain but it is usually evaluated on the hypercube $x_i \in [-5, 10]$ for $i = 1..n$.

# Global Minima

$f(\textbf{x}^{\ast}) = 0$ at $\textbf{x}^{\ast} = (0, …, 0)$

# Implementation

An implementation of the **Zakharov Function** with MATLAB is provided below.

The function can be represented in Latex as follows:

# References:

- http://www.sfu.ca/~ssurjano/zakharov.html