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makeBealeFunction

Beale Function


Description

Multimodal single-objective test function for optimization. It is based on the mathematic formula

f(\mathbf{x}) = (1.5 - \mathbf{x}_1 + \mathbf{x}_1\mathbf{x}_2)^2 + (2.25 - \mathbf{x}_1 + \mathbf{x}_1\mathbf{x}_2^2)^2 + (2.625 - \mathbf{x}_1 + \mathbf{x}_1\mathbf{x}_2^3)^2

usually evaluated within the bounds \mathbf{x}_i \in [-4.5, 4.5], i = 1, 2. The function has a flat but multimodal region aroung the single global optimum and large peaks in the edges of its definition space.

Usage

makeBealeFunction()

Value

[smoof_single_objective_function]


smoof

Single and Multi-Objective Optimization Test Functions

v1.6.0.2
BSD_2_clause + file LICENSE
Authors
Jakob Bossek [aut, cre], Pascal Kerschke [ctb]
Initial release
2020-02-17

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