2D test function
Goldstein price 2-dimensional test function.
goldsteinPrice(x)
x |
a 2-dimensional vector specifying the location where the function is to be evaluated. |
The Goldstein price function is usually defined over the domain [-2,-2] x [2, 2]. Here, the function is adapted to the domain [0,1] x [0,1]. It has 1 global minimum : x1 = c(0.5, 0.25)
A real number equal to the Goldstein price function values at x
D. Ginsbourger, Ecole des Mines de St-Etienne.
n.grid <- 20 x.grid <- y.grid <- seq(0,1,length=n.grid) design.grid <- expand.grid(x.grid, y.grid) response.grid <- apply(design.grid, 1, goldsteinPrice) z.grid <- matrix(response.grid, n.grid, n.grid) contour(x.grid, y.grid, z.grid, 40) x1 = c(0.5, 0.25) points(t(x1), pch=19, col="red") title("Fonction de Goldstein price")
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