benchmarkfcns.sixhumpcamel

benchmarkfcns.sixhumpcamel(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 Six-hump camel benchmark function. SCORES = sixhumpcamel(X) computes the value of the Six-hump camel function at point X. sixhumpcamel 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: -1.0316

  • Location of global minimum: (0.0898, -0.7126), (-0.0898, 0.7126)

  • Number of dimensions: 2

  • Recommended domain: x_1 in [-3, 3], x_2 in [-2, 2]

  • Number of local minima: 4 (excluding the 2 global minima)

  • Number of global minima: 2

  • Convexity: non-convex

  • Separability: non-separable

  • Modality: multimodal

  • Symmetry: symmetric (about the origin)

  • Differentiable: Yes

For more information, please visit: benchmarkfcns.info/doc/sixhumpcamelfcn

Mathematical Definition

Visualization

sixhumpcamel landscape