benchmarkfcns.elliptic

benchmarkfcns.elliptic(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 Elliptic benchmark function. SCORES = elliptic(X) computes the value of the Elliptic function at point X. elliptic 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: High conditioning (10^6).

Mathematical Definition

Visualization

elliptic landscape