| Version: | 1.0-1 | 
| Title: | 'nloptr' Plug-in for the 'R' Optimization Infrastructure | 
| Description: | Enhances the R Optimization Infrastructure ('ROI') package with the 'NLopt' solver for solving nonlinear optimization problems. | 
| Imports: | methods, stats, utils, ROI (≥ 1.0-0), nloptr (≥ 1.2.1) | 
| License: | GPL-3 | 
| URL: | https://roigrp.gitlab.io, https://gitlab.com/roigrp/solver/ROI.plugin.nloptr | 
| NeedsCompilation: | no | 
| Packaged: | 2023-07-06 14:53:43 UTC; f | 
| Author: | Florian Schwendinger [aut, cre] | 
| Maintainer: | Florian Schwendinger <FlorianSchwendinger@gmx.at> | 
| Repository: | CRAN | 
| Date/Publication: | 2023-07-06 16:10:05 UTC | 
NLP 1
Description
The following example solves the Rosenbrock function (https://en.wikipedia.org/wiki/Rosenbrock_function).
minimize \ f(x) = 100 (x_2 - x_1^2)^2 + (1 - x_1)^2
Examples
library(ROI)
f <- function(x) {
    return( 100 * (x[2] - x[1]^2)^2 + (1 - x[1])^2 )
}
f.gradient <- function(x) {
    return( c( -400 * x[1] * (x[2] - x[1] * x[1]) - 2 * (1 - x[1]),
               200 * (x[2] - x[1] * x[1])) )
}
x <- OP( objective = F_objective(f, n = 2L, G = f.gradient), 
         bounds = V_bound(ld = -3, ud= 3, nobj = 2L) )
nlp <- ROI_solve(x, solver = "nloptr.lbfgs", start = c(-1.2, 1))
nlp
## Optimal solution found.
## The objective value is: 1.189412e-15
solution(nlp)
## [1] 1 1