benchmarkfcns.styblinskitank

benchmarkfcns.styblinskitank(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 Styblinski-Tank benchmark function. SCORES = styblinskitank(X) computes the value of the Styblinski-Tank function at point X. styblinskitank 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: -39.16599 * n

  • Location of global minimum: (-2.903534, -2.903534, …, -2.903534)

  • Number of dimensions: n

  • Recommended domain: [-5, 5]^n

  • Number of local minima: many

  • Number of global minima: 1

  • Convexity: non-convex

  • Separability: separable

  • Modality: multimodal

  • Symmetry: non-symmetric

  • Differentiable: Yes

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

Mathematical Definition

Visualization

styblinskitank landscape