benchmarkfcns.zakharov

benchmarkfcns.zakharov(arg0: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, 1]']

Computes the value of Zakharov benchmark function. SCORES = zakharov(X) computes the value of the Zakharov function at point X. zakharov 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 each row of X. Properties:

  • Global minimum: 0

  • Location of global minimum: 0

  • Number of dimensions: n (Scalable)

  • Recommended domain: [-5, 10] or [-10, 10]

  • Number of local minima: 0

  • Number of global minima: 1

  • Convexity: Convex

  • Separability: Non-separable (The squared summation term couples all variables

    together)

  • Modality: Unimodal

  • Symmetry: Non-symmetric (Due to the 0.5i weight in the summation)

  • Differentiable: Yes

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

Mathematical Definition

Visualization

zakharov landscape