# Plots

Two contours of the function are presented below:

# Description and Features

• The function is not convex.
• The function is defined on 2-dimensional space.
• The function is non-separable.
• The function is differentiable.

# Input Domain

The function can be defined on any input domain but it is usually evaluated on $x_i \in [-32, 32]$ for $i=1, 2$.

# Global Minima

The function has two global minima at $f(\textbf{x}^{\ast})\approx -195.629028238419$ located at $\mathbf{x^\ast}=(\pm0.682584587365898, -0.36075325513719)$.

Note: Minima values are obtained with Genetic Algorithm and may not be accurate.

# Implementation

An implementation of the Ackley N. 3 Function with MATLAB is provided below.

The function can be represented in Latex as follows: