benchmarkfcns.dixonpricen2

benchmarkfcns.dixonpricen2(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 Dixon-Price N. 2 benchmark function. dixonpricen2 is an alias for dixonprice for n=2. Properties:

  • Global minimum: 0

  • Location of global minimum: (1, +/- 0.7071)

  • Number of dimensions: 2

  • Recommended domain: [-10, 10]^2

  • Modality: unimodal

Mathematical Definition

\[f(x_1, x_2) = (x_1 - 1)^2 + 2(2x_2^2 - x_1)^2\]

Visualization

../_images/dixonpricen2fcn.png