benchmarkfcns.deckkersaarts

benchmarkfcns.deckkersaarts(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 Deckkers-Aarts function. SCORES = deckkersaarts(X) computes the value of the Deckkers-Aarts function at point X. deckkersaarts 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: -24771.09375

  • Location of global minimum: (0, 15), (0, -15)

  • Number of dimensions: 2

  • Recommended domain: [-20, 20]^2

  • Number of local minima: many

  • Number of global minima: 2

  • Convexity: non-convex

  • Separability: non-separable

  • Modality: multimodal

  • Differentiable: Yes

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

Mathematical Definition

Visualization

deckkersaarts landscape