benchmarkfcns.quintic

benchmarkfcns.quintic(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 Quintic benchmark function. SCORES = quintic(X) computes the value of the Quintic function at point X. quintic accepts a matrix of size M-by-N and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: 0

  • Location of global minimum: each x_i is a root of the quintic polynomial (-1 or 2).

  • Number of dimensions: n

  • Recommended domain: [-10, 10]^n

  • Modality: multimodal

Mathematical Definition

Visualization

quintic landscape