benchmarkfcns.penholder

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

  • Global minimum: -0.963535

  • Location of global minimum: (+/- 9.64617, +/- 9.64617)

  • Number of dimensions: 2

  • Recommended domain: [-11, 11]^2

  • Modality: Multimodal

Mathematical Definition

Visualization

penholder landscape