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/usr/share/doc/ruby-gsl/examples/multimin/fdfminimizer.rb is in ruby-gsl 2.1.0.3+dfsg1-1build1.

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#!/usr/bin/env ruby
require("gsl")
include GSL::MultiMin

my_f = Proc.new { |v, params|
  x = v[0]; y = v[1]
  p0 = params[0]; p1 = params[1]
  10.0*(x - p0)*(x - p0) + 20.0*(y - p1)*(y - p1) + 30.0
}

my_df = Proc.new { |v, params, df|
  x = v[0]; y = v[1]
  p0 = params[0]; p1 = params[1]
  df[0] = 20.0*(x-p0)
  df[1] = 40.0*(y-p1)
}

my_func = GSL::MultiMin::Function_fdf.alloc(my_f, my_df, 2)
my_func.set_params([1.0, 2.0])      # parameters

x = GSL::Vector.alloc([5.0, 7.0])          # starting point

#minimizer = GSL::MultiMin::FdfMinimizer.alloc("conjugate_fr", 2)
minimizer = GSL::MultiMin::FdfMinimizer.alloc(GSL::MultiMin::FdfMinimizer::VECTOR_BFGS, 2)
#minimizer = GSL::MultiMin::FdfMinimizer.alloc(GSL::MultiMin::FdfMinimizer::VECTOR_BFGS2, 2)
minimizer.set(my_func, x, 0.01, 1e-4)

iter = 0
begin
  iter += 1
  status = minimizer.iterate()
  status = minimizer.test_gradient(1e-3)
  if status == GSL::SUCCESS
    puts("Minimum found at")
  end
  x = minimizer.x
  f = minimizer.f
  printf("%5d %.5f %.5f %10.5f\n", iter, x[0], x[1], f)

end while status == GSL::CONTINUE and iter < 100