# Plots

Contour of the function is presented below:

# Description and Features

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

# Input Domain

The function can be defined on any input domain but it is usually evaluated on $x_i \in [0, 10]$ for $i=1, 2$.

# Global Minima

The function has two global minima $f(\textbf{x}^{\ast})=0.673667521146855$ at

• $\textbf{x}^{\ast} = (1.393249070031784,0)$.
• $\textbf{x}^{\ast} = (0,1.393249070031784)$.

# Implementation

An implementation of the Keane Function with MATLAB is provided below.

The function can be represented in Latex as follows: