benchmarkfcns.fletcherpowell

benchmarkfcns.fletcherpowell(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 Fletcher-Powell benchmark function. SCORES = fletcherpowell(X) computes the value of the function at point X. fletcherpowell accepts a matrix of size M-by-N and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: 0

  • Location of global minimum: (alpha_1, …, alpha_n)

  • Number of dimensions: n

  • Recommended domain: [-pi, pi]^n

  • Modality: highly multimodal

Mathematical Definition

Visualization

fletcherpowell landscape