benchmarkfcns.schwefel12

benchmarkfcns.schwefel12(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 Schwefel 1.2 (Double Sum) benchmark function. SCORES = schwefel12(X) computes the value of the Schwefel 1.2 function at point X. schwefel12 accepts a matrix of size M-by-N and returns a vetor SCORES of size M-by-1 in which each row contains the function value for the corresponding row of X. Properties:

  • Global minimum: 0

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

  • Number of dimensions: n

  • Recommended domain: [-100, 100]^n

  • Modality: unimodal

  • Characteristic: Also known as the Rotated Hyper-Ellipsoid function.

Mathematical Definition

Visualization

schwefel12 landscape