benchmarkfcns.dejongn6

benchmarkfcns.dejongn6(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 De Jong N. 6 (Wood) benchmark function. SCORES = dejongn6(X) computes the value of the function at point X. dejongn6 accepts a matrix of size M-by-4 and returns a vector SCORES of size M-by-1. Properties:

• Global minimum: 0

• Location of global minimum: (1, 1, 1, 1)

• Number of dimensions: 4

• Recommended domain: [-10, 10]^4

• Modality: multimodal

Mathematical Definition

\[f(x_1, x_2, x_3, x_4) = 100(x_1^2 - x_2)^2 + (x_1 - 1)^2 + (x_3 - 1)^2 + 90(x_3^2 - x_4)^2 + 10.1((x_2 - 1)^2 + (x_4 - 1)^2) + 19.8(x_2 - 1)(x_4 - 1)\]

Visualization

No visualization available for this function.