diff --git a/Wrappers/Python/test/test_algorithms.py b/Wrappers/Python/test/test_algorithms.py
index e3f6302d78..722bc685c2 100644
--- a/Wrappers/Python/test/test_algorithms.py
+++ b/Wrappers/Python/test/test_algorithms.py
@@ -245,6 +245,27 @@ def test_gd_armijo_rosen(self):
             gd.solution.array[0], self.scipy_opt_high.x[0], atol=1e-2)
         np.testing.assert_allclose(
             gd.solution.array[1], self.scipy_opt_high.x[1], atol=1e-2)
+        
+    def test_gd_run_no_iterations(self):
+        gd = GD(initial=self.initial, objective_function=self.f, step_size=0.002)
+        with self.assertRaises(ValueError):
+            gd.run()
+        
+    def test_gd_run_infinite(self):
+        gd = GD(initial=self.initial, objective_function=self.f, step_size=0.002)
+        with self.assertRaises(ValueError):
+            gd.run(np.inf)
+        
+        class StopCallback(callbacks.Callback):
+            def __init__(self):
+                self.count = 0
+            def __call__(self, algorithm):
+                self.count += 1
+                if self.count == 10:
+                    raise StopIteration
+        with self.assertWarns(UserWarning):
+            gd.run(np.inf, callbacks=[StopCallback()])
+        self.assertEqual(gd.iteration, 9)
 
 
 class TestFISTA(CCPiTestClass):