diff --git a/internal/ceres/trust_region_minimizer.cc b/internal/ceres/trust_region_minimizer.cc
index dd4a8a7..4d0c91e 100644
--- a/internal/ceres/trust_region_minimizer.cc
+++ b/internal/ceres/trust_region_minimizer.cc
@@ -196,15 +196,18 @@
     scale.setOnes();
   }
 
-  const double absolute_gradient_tolerance =
-      options_.gradient_tolerance *
+  // The initial gradient max_norm is bounded from below so that we do
+  // not divide by zero.
+  const double gradient_max_norm_0 =
       max(iteration_summary.gradient_max_norm, kEpsilon);
+  const double absolute_gradient_tolerance =
+      options_.gradient_tolerance * gradient_max_norm_0;
+
   if (iteration_summary.gradient_max_norm <= absolute_gradient_tolerance) {
     summary->termination_type = GRADIENT_TOLERANCE;
     VLOG(1) << "Terminating: Gradient tolerance reached."
             << "Relative gradient max norm: "
-            << iteration_summary.gradient_max_norm /
-        summary->iterations[0].gradient_max_norm
+            << iteration_summary.gradient_max_norm / gradient_max_norm_0
             << " <= " << options_.gradient_tolerance;
     return;
   }
@@ -406,8 +409,7 @@
         summary->termination_type = GRADIENT_TOLERANCE;
         VLOG(1) << "Terminating: Gradient tolerance reached."
                 << "Relative gradient max norm: "
-                << iteration_summary.gradient_max_norm /
-            summary->iterations[0].gradient_max_norm
+                << iteration_summary.gradient_max_norm / gradient_max_norm_0
                 << " <= " << options_.gradient_tolerance;
         return;
       }
diff --git a/internal/ceres/trust_region_minimizer_test.cc b/internal/ceres/trust_region_minimizer_test.cc
index b4ef601..d87c963 100644
--- a/internal/ceres/trust_region_minimizer_test.cc
+++ b/internal/ceres/trust_region_minimizer_test.cc
@@ -38,10 +38,10 @@
 #include "ceres/dense_sparse_matrix.h"
 #include "ceres/evaluator.h"
 #include "ceres/internal/port.h"
-#include "ceres/levenberg_marquardt_strategy.h"
 #include "ceres/linear_solver.h"
 #include "ceres/minimizer.h"
 #include "ceres/trust_region_minimizer.h"
+#include "ceres/trust_region_strategy.h"
 #include "gtest/gtest.h"
 
 namespace ceres {
@@ -52,7 +52,7 @@
 // active. This is equivalent to constructing a problem and using the
 // SubsetLocalParameterization. This allows us to test the support for
 // the Evaluator::Plus operation besides checking for the basic
-// performance of the LevenbergMarquardt algorithm.
+// performance of the trust region algorithm.
 template <bool col1, bool col2, bool col3, bool col4>
 class PowellEvaluator2 : public Evaluator {
  public:
@@ -183,7 +183,7 @@
 // Templated function to hold a subset of the columns fixed and check
 // if the solver converges to the optimal values or not.
 template<bool col1, bool col2, bool col3, bool col4>
-void IsLevenbergMarquardtSolveSuccessful() {
+void IsTrustRegionSolveSuccessful(TrustRegionStrategyType strategy_type) {
   Solver::Options solver_options;
   LinearSolver::Options linear_solver_options;
   DenseQRSolver linear_solver(linear_solver_options);
@@ -208,6 +208,7 @@
   minimizer_options.jacobian = jacobian.get();
 
   TrustRegionStrategy::Options trust_region_strategy_options;
+  trust_region_strategy_options.trust_region_strategy_type = strategy_type;
   trust_region_strategy_options.linear_solver = &linear_solver;
   trust_region_strategy_options.initial_radius = 1e4;
   trust_region_strategy_options.max_radius = 1e20;
@@ -228,7 +229,7 @@
   EXPECT_NEAR(0.0, parameters[3], 0.001);
 };
 
-TEST(TrustRegionMinimizer, PowellsSingularFunction) {
+TEST(TrustRegionMinimizer, PowellsSingularFunctionUsingLevenbergMarquardt) {
   // This case is excluded because this has a local minimum and does
   // not find the optimum. This should not affect the correctness of
   // this test since we are testing all the other 14 combinations of
@@ -236,20 +237,43 @@
   //
   //   IsSolveSuccessful<true, true, false, true>();
 
-  IsLevenbergMarquardtSolveSuccessful<true,  true,  true,  true>();
-  IsLevenbergMarquardtSolveSuccessful<true,  true,  true,  false>();
-  IsLevenbergMarquardtSolveSuccessful<true,  false, true,  true>();
-  IsLevenbergMarquardtSolveSuccessful<false, true,  true,  true>();
-  IsLevenbergMarquardtSolveSuccessful<true,  true,  false, false>();
-  IsLevenbergMarquardtSolveSuccessful<true,  false, true,  false>();
-  IsLevenbergMarquardtSolveSuccessful<false, true,  true,  false>();
-  IsLevenbergMarquardtSolveSuccessful<true,  false, false, true>();
-  IsLevenbergMarquardtSolveSuccessful<false, true,  false, true>();
-  IsLevenbergMarquardtSolveSuccessful<false, false, true,  true>();
-  IsLevenbergMarquardtSolveSuccessful<true,  false, false, false>();
-  IsLevenbergMarquardtSolveSuccessful<false, true,  false, false>();
-  IsLevenbergMarquardtSolveSuccessful<false, false, true,  false>();
-  IsLevenbergMarquardtSolveSuccessful<false, false, false, true>();
+  const TrustRegionStrategyType kStrategy = LEVENBERG_MARQUARDT;
+  IsTrustRegionSolveSuccessful<true,  true,  true,  true >(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  true,  true,  false>(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  false, true,  true >(kStrategy);
+  IsTrustRegionSolveSuccessful<false, true,  true,  true >(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  true,  false, false>(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  false, true,  false>(kStrategy);
+  IsTrustRegionSolveSuccessful<false, true,  true,  false>(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  false, false, true >(kStrategy);
+  IsTrustRegionSolveSuccessful<false, true,  false, true >(kStrategy);
+  IsTrustRegionSolveSuccessful<false, false, true,  true >(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  false, false, false>(kStrategy);
+  IsTrustRegionSolveSuccessful<false, true,  false, false>(kStrategy);
+  IsTrustRegionSolveSuccessful<false, false, true,  false>(kStrategy);
+  IsTrustRegionSolveSuccessful<false, false, false, true >(kStrategy);
+}
+
+TEST(TrustRegionMinimizer, PowellsSingularFunctionUsingDogleg) {
+  // The following two cases are excluded because they encounter a local minimum.
+  //
+  //  IsTrustRegionSolveSuccessful<true, true, false, true >(kStrategy);
+  //  IsTrustRegionSolveSuccessful<true,  true,  true,  true >(kStrategy);
+
+  const TrustRegionStrategyType kStrategy = DOGLEG;
+  IsTrustRegionSolveSuccessful<true,  true,  true,  false>(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  false, true,  true >(kStrategy);
+  IsTrustRegionSolveSuccessful<false, true,  true,  true >(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  true,  false, false>(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  false, true,  false>(kStrategy);
+  IsTrustRegionSolveSuccessful<false, true,  true,  false>(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  false, false, true >(kStrategy);
+  IsTrustRegionSolveSuccessful<false, true,  false, true >(kStrategy);
+  IsTrustRegionSolveSuccessful<false, false, true,  true >(kStrategy);
+  IsTrustRegionSolveSuccessful<true,  false, false, false>(kStrategy);
+  IsTrustRegionSolveSuccessful<false, true,  false, false>(kStrategy);
+  IsTrustRegionSolveSuccessful<false, false, true,  false>(kStrategy);
+  IsTrustRegionSolveSuccessful<false, false, false, true >(kStrategy);
 }
 
 }  // namespace internal