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

\[f(\mathbf x)=f(x_1, ...,x_n)=\sum_{i=1}^{n}\epsilon_i|x_i|^i\]

Visualization