R Under development (unstable) (2023-11-25 r85635 ucrt) -- "Unsuffered Consequences"
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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)
[1] "Function criterion near zero"
[1] TRUE
> print.result(hnlq2)
[1] "Function criterion near zero"
[1] TRUE
> xcmp.result(hnlq1,hnlq2)
[1] TRUE
> 
> 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)
[1] "Function criterion near zero"
[1] TRUE
> print.result(dnlq2)
[1] "Function criterion near zero"
[1] TRUE
> xcmp.result(dnlq1,dnlq2)
[1] TRUE
> xcmp.result(hnlq1,dnlq1)
[1] TRUE
> 
> 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)
[1] "Function criterion near zero"
[1] TRUE
> print.result(hnlq2)
[1] "Function criterion near zero"
[1] TRUE
> xcmp.result(hnlq1,hnlq2)
[1] TRUE
> 
> 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)
[1] "Function criterion near zero"
[1] TRUE
> print.result(dnlq2)
[1] "Function criterion near zero"
[1] TRUE
> xcmp.result(dnlq1,dnlq2)
[1] TRUE
> xcmp.result(hnlq1,dnlq1)
[1] TRUE
> 
> proc.time()
   user  system elapsed 
   0.14    0.06    0.18