benchmarkfcns.xinsheyangn1

benchmarkfcns.xinsheyangn1(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 Xin-She Yang function. SCORES = xinsheyang1(X) computes the value of the Xin-She Yang function at point X. xinsheyang1 accepts a matrix of size M-by-N 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: 0

  • Location of global minimum: (0, 0, …, 0)

  • Number of dimensions: n (Scalable)

  • Recommended domain: x_i ∈ [-5, 5]

  • Number of local minima: 0

  • Number of global minima: 1

  • Convexity: convex

  • Separability: separable

  • Modality: Unimodal

  • Symmetry: Symmetric

  • Differentiable: No

For more information, please visit: benchmarkfcns.info/doc/xinsheyangn1fcn

Mathematical Definition

Visualization

xinsheyangn1 landscape