# N-D Test Functions M¶

class go_benchmark.Matyas(dimensions=2)

Matyas test objective function.

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

Here, represents the number of dimensions and for .

Two-dimensional Matyas function

Global optimum: for for

class go_benchmark.McCormick(dimensions=2)

McCormick test objective function.

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

Here, represents the number of dimensions and , .

Two-dimensional McCormick function

Global optimum: for

class go_benchmark.Michalewicz(dimensions=2)

Michalewicz test objective function.

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

Where, in this exercise, .

Here, represents the number of dimensions and for .

Two-dimensional Michalewicz function

Global optimum: for for

class go_benchmark.MieleCantrell(dimensions=4)

Miele-Cantrell test objective function.

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

Here, represents the number of dimensions and for .

Global optimum: for

class go_benchmark.Mishra01(dimensions=2)

Mishra 1 test objective function.

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

Here, represents the number of dimensions and for .

Two-dimensional Mishra 1 function

Global optimum: for for

class go_benchmark.Mishra02(dimensions=2)

Mishra 2 test objective function.

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

Here, represents the number of dimensions and for .

Two-dimensional Mishra 2 function

Global optimum: for for

class go_benchmark.Mishra03(dimensions=2)

Mishra 3 test objective function.

This class defines the Mishra 3 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Mishra 3 function

Global optimum: for for

class go_benchmark.Mishra04(dimensions=2)

Mishra 4 test objective function.

This class defines the Mishra 4 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Mishra 4 function

Global optimum: for for

class go_benchmark.Mishra05(dimensions=2)

Mishra 5 test objective function.

This class defines the Mishra 5 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Mishra 5 function

Global optimum: for

class go_benchmark.Mishra06(dimensions=2)

Mishra 6 test objective function.

This class defines the Mishra 6 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Mishra 6 function

Global optimum: for

class go_benchmark.Mishra07(dimensions=2)

Mishra 7 test objective function.

This class defines the Mishra 7 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Mishra 7 function

Global optimum: for for

class go_benchmark.Mishra08(dimensions=2)

Mishra 8 test objective function.

This class defines the Mishra 8 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Mishra 8 function

Global optimum: for

class go_benchmark.Mishra09(dimensions=3)

Mishra 9 test objective function.

This class defines the Mishra 9 global optimization problem. This is a multimodal minimization problem defined as follows:

Where, in this exercise:

Here, represents the number of dimensions and for .

Global optimum: for

class go_benchmark.Mishra10(dimensions=2)

Mishra 10 test objective function.

This class defines the Mishra 10 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Mishra 10 function

Global optimum: for

class go_benchmark.Mishra11(dimensions=2)

Mishra 11 test objective function.

This class defines the Mishra 11 global optimization problem. This is a multimodal minimization problem defined as follows:

Here, represents the number of dimensions and for .

Two-dimensional Mishra 11 function

Global optimum: for for

class go_benchmark.MultiModal(dimensions=2)

MultiModal test objective function.

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

Here, represents the number of dimensions and for .

Two-dimensional MultiModal function

Global optimum: for for

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