makeEasomFunction {smoof}

Easom Function

Description

Unimodal function with its global optimum in the center of the search space. The attraction area of the global optimum is very small in relation to the search space:

f(\mathbf{x}) = -\cos(\mathbf{x}_1)\cos(\mathbf{x}_2)\exp\left(-\left((\mathbf{x}_1 - \pi)^2 + (\mathbf{x}_2 - pi)^2\right)\right)

with \mathbf{x}_i \in [-100, 100], i = 1,2.

Usage

makeEasomFunction()

Value

[smoof_single_objective_function]

References

Easom, E. E.: A survey of global optimization techniques. M. Eng. thesis, University of Louisville, Louisville, KY, 1990.