benchmarkfcns.powellsingular

benchmarkfcns.powellsingular(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 Powell Singular benchmark function. SCORES = powellsingular(X) computes the value of the Powell Singular function at point X. powellsingular accepts a matrix of size M-by-4 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, 0)

  • Number of dimensions: 4

  • Recommended domain: [-4, 5]^4

  • Number of local minima: 0

  • Number of global minima: 1

  • Convexity: non-convex

  • Separability: non-separable

  • Modality: unimodal

Mathematical Definition

Visualization

powellsingular landscape