code: def test_solver_concordance(self):
      # Assert that dogleg uses fewer iterations than ncg on the Rosenbrock
      # test function, although this does not necessarily mean
      # that dogleg is faster or better than ncg even for this function
      # and especially not for other test functions.
      f = rosen
      g = rosen_der
      h = rosen_hess
      for x0 in (self.easy_guess, self.hard_guess):
          r_dogleg = minimize(
              f,
              x0,
              jac=g,
              hess=h,
              tol=1e-8,
              method="dogleg",
              options={"return_all": True},
          )
          r_trust_ncg = minimize(
              f,
              x0,
              jac=g,
              hess=h,
              tol=1e-8,
              method="trust-ncg",
              options={"return_all": True},
          )
          r_trust_krylov = minimize(
              f,
              x0,
              jac=g,
              hess=h,
              tol=1e-8,
              method="trust-krylov",
              options={"return_all": True},
          )
          r_ncg = minimize(
              f,
              x0,
              jac=g,
              hess=h,
              tol=1e-8,
              method="newton-cg",
              options={"return_all": True},
          )
          r_iterative = minimize(
              f,
              x0,
              jac=g,
              hess=h,
              tol=1e-8,
              method="trust-exact",
              options={"return_all": True},
          )
          assert_allclose(self.x_opt, r_dogleg["x"])
          assert_allclose(self.x_opt, r_trust_ncg["x"])
          assert_allclose(self.x_opt, r_trust_krylov["x"])
          assert_allclose(self.x_opt, r_ncg["x"])
          assert_allclose(self.x_opt, r_iterative["x"])
          assert_(len(r_dogleg["allvecs"]) < len(r_ncg["allvecs"]))
  
file_path: scipy/scipy/optimize/tests/test_trustregion.py
imports: import pytest
  import numpy
  from numpy.testing import assert_, assert_equal, assert_allclose
  from scipy.optimize import minimize, rosen, rosen_der, rosen_hess, rosen_hess_prod
label_desc: Use image node_id 5 for calling the TestTrustRegionSolvers obj's underlying member method code with example usage: obj.test_solver_concordance() without return types