benchmarkfcns.powellsingularn2

benchmarkfcns.powellsingularn2(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 Powell-Singular N. 2 benchmark function. powellsingularn2 is an alias for powellsingular for n=4. Properties:

• Global minimum: 0

• Location of global minimum: (0, 0, 0, 0)

• Number of dimensions: 4

• Recommended domain: [-4, 5]^4

• Modality: unimodal

Mathematical Definition

\[f(\textbf{x}) = \sum_{i=1}^{n/4} \left[ (x_{4i-3} + 10x_{4i-2})^2 + 5(x_{4i-1} - x_{4i})^2 + (x_{4i-2} - 2x_{4i-1})^4 + 10(x_{4i-3} - x_{4i})^4 \right]\]

Visualization

No visualization available for this function.