benchmarkfcns.mishran8

benchmarkfcns.mishran8(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 Mishra’s Function No. 8 benchmark function. SCORES = mishran8(X) computes the value of the function at point X. mishran8 accepts a matrix of size M-by-2 and returns a vector SCORES of size M-by-1. Properties:

  • Global minimum: 0

  • Location of global minimum: (2, -3)

  • Number of dimensions: 2

  • Recommended domain: [-10, 10]^2

  • Modality: Multimodal

Mathematical Definition

\[f(x_1, x_2) = 0.001 \left( (x_1 - 2)^{10} + (x_2 + 3)^4 \right)^2\]

Visualization

../_images/mishran8fcn.png