benchmarkfcns.levyn1

benchmarkfcns.levyn1(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. 1 benchmark function. levyn1 is an alias for levy for n=1. Properties:

• Global minimum: 0

• Location of global minimum: (1)

• Number of dimensions: 1

• Recommended domain: [-10, 10]

• Modality: multimodal

Mathematical Definition

\[f(x) = \sin^2(\pi w_1) + (w_1-1)^2 [1 + \sin^2(2\pi w_1)], \quad w_1 = 1 + \frac{x-1}{4}\]

Visualization

No visualization available for this function.