# Mathematical Definition

# Plots

The contour of the function is as 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 non-differentiable.
- The function is non-separable.
- The function is .

# Input Domain

The function can be defined on any input domain but it is usually evaluated on $x \in [-10, 10]$ and $y \in [-10, 10]$ .

# Global Minima

The function has four global minima $f(\textbf{x}^{\ast})=-19.2085$ at $\textbf{x}^{\ast} = (\pm 8.05502,\pm 9.66459)$.

# Implementation

An implementation of the **Holder-Table Function** with MATLAB is provided below.

The function can be represented in Latex as follows:

# References: