benchmarkfcns.michalewiczn5

benchmarkfcns.michalewiczn5(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 Michalewicz N. 5 benchmark function. michalewiczn5 is an alias for michalewicz for n=5. Properties:

  • Global minimum: -4.6876

  • Number of dimensions: 5

  • Recommended domain: [0, pi]^5

  • Modality: multimodal

Mathematical Definition

\[f(\textbf{x}) = -\sum_{i=1}^{n} \sin(x_i) \left[ \sin(\frac{ix_i^2}{\pi}) \right]^{2m}\]

Visualization

No visualization available for this function.