styblinski_tang_func {EmiR}

Styblinski-Tang Function

Description

Implementation of n-dimensional Styblinski-Tang function.

Usage

styblinski_tang_func(x)

Arguments

x

numeric or complex vector.

Details

On an n-dimensional domain it is defined by

\[f(\vec{x}) = \frac{1}{2} \sum_{i=1}^{n} \left( x_{i}^4 - 16x_{i}^2 + 5x_{i} \right),\]

and is usually evaluated on \(x_{i} \in [ -5, 5 ]\), for all \(i=1,...,n\). The function has one global minimum at \(f(\vec{x}) = -39.16599n\) for \(x_{i}=-2.903534\) for all \(i=1,...,n\).

Value

The value of the function.

References

Styblinski MA, Tang T (1990). “Experiments in nonconvex optimization: Stochastic approximation with function smoothing and simulated annealing.” Neural Networks, 3(4), 467–483. doi:10.1016/0893-6080(90)90029-k.