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library(nleqslv)
# Dennis & Schnabel,1996,"Numerical methods for unconstrained optimization and nonlinear equations", SIAM
# example 6.5.1 page 149
dslnex <- function(x) {
y <- numeric(2)
y[1] <- x[1]^2 + x[2]^2 - 2
y[2] <- exp(x[1]-1) + x[2]^3 - 2
y
}
do.print.xf <- FALSE
do.trace <- 0
print.result <- function(z) {
if( do.print.xf ) {
print(z$x)
print(z$fvec)
}
print(z$message)
print(all(abs(z$fvec)<=1e-8))
}
xcmp.result <- function(z1,z2) all(abs(z1$x-z2$x) <= 1e-8)
xstart <- c(2,0.5)
hnlq1 <- nleqslv(xstart, dslnex, global="hook", control=list(btol=.01,delta="cauchy", trace=do.trace))
hnlq2 <- nleqslv(xstart, dslnex, global="hook", control=list(btol=.01,delta="newton", trace=do.trace))
print.result(hnlq1)
print.result(hnlq2)
xcmp.result(hnlq1,hnlq2)
dnlq1 <- nleqslv(xstart, dslnex, global="dbldog", control=list(btol=.01,delta="cauchy", trace=do.trace))
dnlq2 <- nleqslv(xstart, dslnex, global="dbldog", control=list(btol=.01,delta="newton", trace=do.trace))
print.result(dnlq1)
print.result(dnlq2)
xcmp.result(dnlq1,dnlq2)
xcmp.result(hnlq1,dnlq1)
xstart <- c(1.1,1.1)
hnlq1 <- nleqslv(xstart, dslnex, global="hook", control=list(btol=.01,delta="cauchy", trace=do.trace))
hnlq2 <- nleqslv(xstart, dslnex, global="hook", control=list(btol=.01,delta="newton", trace=do.trace))
print.result(hnlq1)
print.result(hnlq2)
xcmp.result(hnlq1,hnlq2)
dnlq1 <- nleqslv(xstart, dslnex, global="dbldog", control=list(btol=.01,delta="cauchy", trace=do.trace))
dnlq2 <- nleqslv(xstart, dslnex, global="dbldog", control=list(btol=.01,delta="newton", trace=do.trace))
print.result(dnlq1)
print.result(dnlq2)
xcmp.result(dnlq1,dnlq2)
xcmp.result(hnlq1,dnlq1)
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