SIAM test functions | R Documentation |
Test functions for global optimization posed for the SIAM 100-digit challenge in 2002 by Nick Trefethen, Oxford University, UK.
fnTrefethen(p2) fnWagon(p3)
p2 |
Numerical vector of length 2. |
p3 |
Numerical vector of length 3. |
These are highly nonlinear and oscillating functions in two and three dimensions with thousands of local mimima inside the unit square resp. cube (i.e., [-1, 1] x [-1, 1] or [-1, 1] x [-1, 1] x [-1, 1]).
Function value is a single real number.
HwB <hwborchers@googlemail.com>
F. Bornemann, D. Laurie, S. Wagon, and J. Waldvogel (2004). The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing. Society for Industrial and Applied Mathematics.
x <- 2*runif(5) - 1 fnTrefethen(x) fnWagon(x) ## Not run: T <- matrix(NA, nrow=1001, ncol=1001) for (i in 1:1001) { for (j in 1:1001) { T[i, j] <- fnTrefethen(c(x[i], y[j])) } } image(x, y, T) contour(x, y, T, add=TRUE) ## End(Not run)
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