# N-D Test Functions A¶

class go_benchmark.Ackley(dimensions=2)

Ackley test objective function.

This class defines the Ackley global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Ackley function

Global optimum: for for

This class defines the Adjiman global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and and .

Global optimum: for

class go_benchmark.Alpine01(dimensions=2)

Alpine 1 test objective function.

This class defines the Alpine 1 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Alpine 1 function

Global optimum: for for

class go_benchmark.Alpine02(dimensions=2)

Alpine 2 test objective function.

This class defines the Alpine 2 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Alpine 2 function

Global optimum: for for

class go_benchmark.AMGM(dimensions=2)

AMGM test objective function.

This class defines the Arithmetic Mean - Geometric Mean Equality global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Arithmetic Mean - Geometric Mean Equality function

Global optimum: for for

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N-D Test Functions B