benchmarkfcns.wayburnseadern1

benchmarkfcns.wayburnseadern1(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 Wayburn-Seader N. 1 benchmark function. SCORES = wayburnseadern1(X) computes the value of the function at point X. wayburnseadern1 accepts a matrix of size M-by-2 and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: 0

  • Location of global minimum: (1, 2), (1.597, 0.806)

  • Number of dimensions: 2

  • Recommended domain: [-500, 500]^2

  • Modality: multimodal

Mathematical Definition

\[f(x_1, x_2) = (x_1^6 + x_2^4 - 17)^2 + (2x_1 + x_2 - 4)^2\]

Visualization

../_images/wayburnseadern1fcn.png