benchmarkfcns.gear

benchmarkfcns.gear(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 Gear benchmark function. SCORES = gear(X) computes the value of the Gear function at point X. gear 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: approx 2.700857 * 10^-12

  • Location of global minimum: (16, 19, 43, 49)

  • Number of dimensions: 4

  • Recommended domain: [12, 60]^4

  • Number of local minima: many

  • Number of global minima: at least two

  • Convexity: non-convex

  • Separability: non-separable

  • Modality: multimodal

  • Symmetry: partially symmetric.

  • Differentiable: no

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

Mathematical Definition

Visualization

gear landscape