benchmarkfcns.ursemn1

benchmarkfcns.ursemn1(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 Ursem N. 1 benchmark function. SCORES = ursemn1(X) computes the value of the function at point X. ursemn1 accepts a matrix of size M-by-2 and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: -4.81681

  • Location of global minimum: (1.6971, 0)

  • Number of dimensions: 2

  • Recommended domain: x in [-2.5, 3], y in [-2, 2]

  • Modality: multimodal

Mathematical Definition

Visualization

ursemn1 landscape