styblinski_tang_func: Styblinski-Tang Function

In EmiR: Evolutionary Minimizer for R

Styblinski-Tang Function

Description

\loadmathjax

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

\mjdeqn

f(\vecx) = \frac12 \sum_i=1^n \left( x_i^4 - 16x_i^2 + 5x_i \right),f(x) = 1/2 sum_1^n ( x_i^4 -16x_i^2 +5x_i ), and is usually evaluated on \mjeqnx_i \in [ -5, 5 ]x_i in [-5, 5], for all \mjeqni=1,...,ni=1,...,n. The function has one global minimum at \mjeqnf(\vecx) = -39.16599nf(x) = -39.16599n for \mjeqnx_i=-2.903534x_i=-2.903534 for all \mjeqni=1,...,ni=1,...,n.

Value

The value of the function.

References

\insertRef

Styblinski1990EmiR

EmiR documentation built on Dec. 10, 2022, 1:12 a.m.