benchmarkfcns.keanen2

benchmarkfcns.keanen2(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 Keane N. 2 benchmark function. keanen2 is an alias for keane. Properties:

  • Global minimum: -0.6736675

  • Location of global minimum: (0, 1.3932) or (1.3932, 0)

  • Number of dimensions: 2

  • Recommended domain: [0, 10]^2

  • Modality: multimodal

Mathematical Definition

\[f(x_1, x_2) = -\frac{\sin^2(x_1 - x_2) \sin^2(x_1 + x_2)}{\sqrt{x_1^2 + x_2^2}}\]

Visualization

../_images/keanen2fcn.png