makeDeckkersAartsFunction: Deckkers-Aarts Function

In jakobbossek/smoof: Single and Multi-Objective Optimization Test Functions

Deckkers-Aarts Function

Description

This continuous single-objective test function is defined by the formula

f(\mathbf{x}) = 10^5\mathbf{x}_1^2 + \mathbf{x}_2^2 - (\mathbf{x}_1^2 + \mathbf{x}_2^2)^2 + 10^{-5} (\mathbf{x}_1^2 + \mathbf{x}_2^2)^4

with the bounding box -20 \leq \mathbf{x}_i \leq 20 for i = 1, 2.

Usage

makeDeckkersAartsFunction()

Value

An object of class SingleObjectiveFunction, representing the Deckkers-Aarts Function.

[smoof_single_objective_function]

References

M. M. Ali, C. Khompatraporn, Z. B. Zabinsky, A Numerical Evaluation of Several Stochastic Algorithms on Selected Continuous Global Optimization Test Problems, Journal of Global Optimization, vol. 31, pp. 635-672, 2005.

jakobbossek/smoof documentation built on Feb. 17, 2024, 2:23 a.m.