benchmarkfcns.levyn3

benchmarkfcns.levyn3(arg0: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, 1]']

Computes the value of the Levy N. 3 benchmark function. levyn3 is an alias for levy for n=3. Properties:

• Global minimum: 0

• Location of global minimum: (1, 1, 1)

• Number of dimensions: 3

• Recommended domain: [-10, 10]^3

• Modality: multimodal

Mathematical Definition

\[f(\textbf{x}) = \sin^2(\pi w_1) + \sum_{i=1}^{n-1} (w_i-1)^2 [1 + 10\sin^2(\pi w_i + 1)] + (w_n-1)^2 [1 + \sin^2(2\pi w_n)], \quad w_i = 1 + \frac{x_i-1}{4}\]

Visualization

No visualization available for this function.