makeGriewankFunction function

Griewank Function

Highly multimodal function with a lot of regularly distributed local minima. The corresponding formula is: [REMOVE_ME]$f(\mathbf{x}) = \sum_{i=1}^{n} \frac{\mathbf{x}_i^2}{4000} - \prod_{i=1}^{n} \cos\left(\frac{\mathbf{x}_i}{\sqrt{i}}\right) + 1 [REMOVE_ME_2]$

subject to $\mathbf{x}_i \in [-100, 100], i = 1, \ldots, n$.

makeGriewankFunction(dimensions)

Arguments

• dimensions: [integer(1)]

  Size of corresponding parameter space.

Returns

[smoof_single_objective_function]

Description

Highly multimodal function with a lot of regularly distributed local minima. The corresponding formula is:

subject to $\mathbf{x}_i \in [-100, 100], i = 1, \ldots, n$.

References

A. O. Griewank, Generalized Descent for Global Optimization, Journal of Optimization Theory and Applications, vol. 34, no. 1, pp. 11-39, 1981.