benchmarkfcns.multifidelity.goldsteinprice

benchmarkfcns.multifidelity.goldsteinprice(arg0: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]']

Computes the value of the multi-fidelity Goldstein-Price function. SCORES = goldsteinprice(X) computes the value of the Goldstein-Price function at point X. multifidelity.goldsteinprice accepts a matrix of size M-by-2 and returns a matrix SCORES of size M-by-2.

Mathematical Definition

\[f(x,y)=[1 + (x + y + 1)^2(19 ? 14x+3x^2? 14y + 6xy + 3y^2)][30 + (2x ? 3y)^2(18 ? 32x + 12x^2 + 4y ? 36xy + 27y^2)]\]

Visualization