makeEasomFunction: Easom Function

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

Easom Function

Description

Uni-modal 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

An object of class SingleObjectiveFunction, representing the Easom Function.

[smoof_single_objective_function]

References

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

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