SPOT (version 2.11.10)

funHelical: funHelical (No. 13, More No. 7)

Description

3-dim Helical Test Function

Usage

funHelical(x)

Arguments

x

matrix (n x 3)-dim of points to evaluate with the function. Rows for points and columns for dimension.

Value

1-column matrix with resulting function values

References

More', J. J., Garbow, B. S., and Hillstrom, K. E. (1981). Testing unconstrained optimization software. ACM Transactions on Mathematical Software (TOMS), 7(1), 17-41. 10.1145/355934.355936

Fletcher, R., and Powell, M. J. (1963). A rapidly convergent descent method for minimization. The Computer Journal, 6(2), 163-168. 10.1093/comjnl/6.2.163

Examples

# NOT RUN {
x1 <- matrix(c(1,1,1),1,)
funHelical(x1)
res <- spot(,funHelical,c(-40,-40,-40),c(40,40,40),control=list(funEvals=20))
plotModel(res$model,which=c(1,2),type="persp",border="NA")
plotModel(res$model,which=c(2,3),type="persp",border="NA")
plotModel(res$model,which=c(1,3),type="persp",border="NA")
plotModel(res$model, which=c(1,2))
plotModel(res$model, which=c(1,3))
plotModel(res$model, which=c(2,3))

# }