Plots

The contour of the function:

Description and Features

• The function is continuous.
• The function is not convex.
• The function is defined on 2-dimensional space.
• The function is multimodal.

Input Domain

The function can be defined on any input domain but it is usually evaluated on $x_i \in [-5.2, 5.2]$ for $i = 1, 2$.

Global Minima

$f(\textbf{x}^{\ast}) = -1$ at $\textbf{x}^{\ast} = (0, 0)$

Implementation

An implementation of the Drop-Wave Function with MATLAB is provided below.

The function can be represented in Latex as follows:

References:

• http://www.sfu.ca/~ssurjano