rastrigin_func {EmiR}

Rastrigin Function

Description

Implementation of n-dimensional Rastrigin function.

Usage

rastrigin_func(x)

Arguments

x

numeric or complex vector.

Details

On an n-dimensional domain it is defined by:

\[f(\vec{x}) = 20n + \sum_{i=1}^n \left( x_{i}^2 - 20\cos(2\pi x_{i}) \right),\]

and is usually evaluated on \(x_{i} \in [ -5.12, 5.12 ]\), for all \(i=1,...,n\). The function has one global minimum at \(f(\vec{x})=0\) for \(x_{i}=0\) for all \(i=1,...,n\).

Value

The value of the function.

References

Rastrigin LA (1974). “Systems of extremal control.” Nauka.