Plots

The contour of the function is as presented below:

Description and Features

• The function is continuous.
• The function is convex.
• The function is defined on 2-dimensional space.
• The function is unimodal.
• The function is 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 one global minimum $f(\textbf{x}^{\ast})=0$ at $\textbf{x}^{\ast} = (0, 0)$.

Implementation

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

The function can be represented in Latex as follows: