makeDeckkersAartsFunction function

Deckkers-Aarts Function

Deckkers-Aarts Function

This continuous single-objective test function is defined by the formula [REMOVE_ME]f(x)=105x12+x22(x12+x22)2+105(x12+x22)4[REMOVEME2] 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 [REMOVE_ME_2]

with the bounding box 20xi20-20 \leq \mathbf{x}_i \leq 20 for i=1,2i = 1, 2.

makeDeckkersAartsFunction()

Returns

[smoof_single_objective_function]

Description

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

f(x)=105x12+x22(x12+x22)2+105(x12+x22)4 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 20xi20-20 \leq \mathbf{x}_i \leq 20 for i=1,2i = 1, 2.

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.

  • Maintainer: Jakob Bossek
  • License: BSD_2_clause + file LICENSE
  • Last published: 2023-03-10