camelback: 2D test function

In DiceKriging: Kriging Methods for Computer Experiments

Description

Camelback 2-dimensional test function.

Usage

camelback(x)

Arguments

x	a 2-dimensional vector specifying the location where the function is to be evaluated.

Details

The Camelback function is usually defined over the domain [-3,-2] x [3, 2]. Here, the function is adapted to the domain [0,1] x [0,1]. It has 2 global minima : x1 = c(0.5149730,0.3218374); x2 = c(0.4850263,0.6781641)

Value

A real number equal to the Camelback function values at x

Author(s)

D. Ginsbourger, Ecole des Mines de St-Etienne.

Examples

 
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, camelback)
z.grid <- matrix(response.grid, n.grid, n.grid)
contour(x.grid,y.grid,z.grid,20)
x1 = c(0.5149730,0.3218374); x2 = c(0.4850263,0.6781641)
points(rbind(t(x1), t(x2)), pch=19, col="red")
title("Fonction Camelback")

DiceKriging documentation built on Feb. 24, 2021, 1:07 a.m.