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