benchmarkfcns.bukinn4

benchmarkfcns.bukinn4(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 Bukin N. 4 benchmark function. SCORES = bukinn4(X) computes the value of the Bukin N. 4 function at point X. bukinn4 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

  • Location of global minimum: (-10, 0)

  • Number of dimensions: 2

  • Recommended domain: x_1 in [-15, -5], x_2 in [-3, 3]

  • Number of local minima: 0 (unimodal)

  • Number of global minima: 1

  • Convexity: convex

  • Separability: separable

  • Modality: unimodal

  • Differentiable: No

Mathematical Definition

Visualization

bukinn4 landscape