benchmarkfcns.elattar

benchmarkfcns.elattar(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 El-Attar function. SCORES = elattar(X) computes the value of the El-Attar function at point X. elattar accepts a matrix of size M-by-2 and returns a vector SCORES of size M-by-1 in which each row contains the function value for the corresponding row of X. Properties:

  • Global minimum: 0 (Theoretically, for many variations, but check implementation)

  • Location of global minimum: Depends on the specific roots of the terms.

  • Number of dimensions: 2

  • Recommended domain: [-100, 100]^2

  • Number of local minima: many

  • Number of global minima: 1

  • Convexity: non-convex

  • Separability: non-separable

  • Modality: multimodal

  • Differentiable: Yes

For more information, please visit: benchmarkfcns.info/doc/elattarfcn

Mathematical Definition

Visualization

elattar landscape