diff --git a/Eigen/Core b/Eigen/Core
index 6c79bcfae..25cb87930 100644
--- a/Eigen/Core
+++ b/Eigen/Core
@@ -252,6 +252,11 @@
 // for min/max:
 #include <algorithm>
 
+// for std::is_nothrow_move_assignable
+#ifdef EIGEN_INCLUDE_TYPE_TRAITS
+#include <type_traits>
+#endif
+
 // for outputting debug info
 #ifdef EIGEN_DEBUG_ASSIGN
 #include <iostream>
diff --git a/Eigen/src/Core/DenseStorage.h b/Eigen/src/Core/DenseStorage.h
index 50f0af356..82201d96a 100644
--- a/Eigen/src/Core/DenseStorage.h
+++ b/Eigen/src/Core/DenseStorage.h
@@ -364,7 +364,7 @@ template<typename T, int _Options> class DenseStorage<T, Dynamic, Dynamic, Dynam
     }
 #if EIGEN_HAS_RVALUE_REFERENCES
     EIGEN_DEVICE_FUNC
-    DenseStorage(DenseStorage&& other)
+    DenseStorage(DenseStorage&& other) EIGEN_NOEXCEPT
       : m_data(std::move(other.m_data))
       , m_rows(std::move(other.m_rows))
       , m_cols(std::move(other.m_cols))
@@ -374,7 +374,7 @@ template<typename T, int _Options> class DenseStorage<T, Dynamic, Dynamic, Dynam
       other.m_cols = 0;
     }
     EIGEN_DEVICE_FUNC
-    DenseStorage& operator=(DenseStorage&& other)
+    DenseStorage& operator=(DenseStorage&& other) EIGEN_NOEXCEPT
     {
       using std::swap;
       swap(m_data, other.m_data);
@@ -443,7 +443,7 @@ template<typename T, int _Rows, int _Options> class DenseStorage<T, Dynamic, _Ro
     }    
 #if EIGEN_HAS_RVALUE_REFERENCES
     EIGEN_DEVICE_FUNC
-    DenseStorage(DenseStorage&& other)
+    DenseStorage(DenseStorage&& other) EIGEN_NOEXCEPT
       : m_data(std::move(other.m_data))
       , m_cols(std::move(other.m_cols))
     {
@@ -451,7 +451,7 @@ template<typename T, int _Rows, int _Options> class DenseStorage<T, Dynamic, _Ro
       other.m_cols = 0;
     }
     EIGEN_DEVICE_FUNC
-    DenseStorage& operator=(DenseStorage&& other)
+    DenseStorage& operator=(DenseStorage&& other) EIGEN_NOEXCEPT
     {
       using std::swap;
       swap(m_data, other.m_data);
@@ -516,7 +516,7 @@ template<typename T, int _Cols, int _Options> class DenseStorage<T, Dynamic, Dyn
     }    
 #if EIGEN_HAS_RVALUE_REFERENCES
     EIGEN_DEVICE_FUNC
-    DenseStorage(DenseStorage&& other)
+    DenseStorage(DenseStorage&& other) EIGEN_NOEXCEPT
       : m_data(std::move(other.m_data))
       , m_rows(std::move(other.m_rows))
     {
@@ -524,7 +524,7 @@ template<typename T, int _Cols, int _Options> class DenseStorage<T, Dynamic, Dyn
       other.m_rows = 0;
     }
     EIGEN_DEVICE_FUNC
-    DenseStorage& operator=(DenseStorage&& other)
+    DenseStorage& operator=(DenseStorage&& other) EIGEN_NOEXCEPT
     {
       using std::swap;
       swap(m_data, other.m_data);
diff --git a/Eigen/src/Core/Matrix.h b/Eigen/src/Core/Matrix.h
index 86fce9571..502b7935a 100644
--- a/Eigen/src/Core/Matrix.h
+++ b/Eigen/src/Core/Matrix.h
@@ -270,7 +270,7 @@ class Matrix
 
 #if EIGEN_HAS_RVALUE_REFERENCES
     EIGEN_DEVICE_FUNC
-    Matrix(Matrix&& other)
+    Matrix(Matrix&& other) EIGEN_NOEXCEPT_IF(std::is_nothrow_move_constructible<Scalar>::value)
       : Base(std::move(other))
     {
       Base::_check_template_params();
@@ -278,7 +278,7 @@ class Matrix
         Base::_set_noalias(other);
     }
     EIGEN_DEVICE_FUNC
-    Matrix& operator=(Matrix&& other)
+    Matrix& operator=(Matrix&& other) EIGEN_NOEXCEPT_IF(std::is_nothrow_move_assignable<Scalar>::value)
     {
       other.swap(*this);
       return *this;
diff --git a/Eigen/src/Core/PlainObjectBase.h b/Eigen/src/Core/PlainObjectBase.h
index 8dc24c239..570dbd53b 100644
--- a/Eigen/src/Core/PlainObjectBase.h
+++ b/Eigen/src/Core/PlainObjectBase.h
@@ -494,13 +494,13 @@ class PlainObjectBase : public internal::dense_xpr_base<Derived>::type
 
 #if EIGEN_HAS_RVALUE_REFERENCES
     EIGEN_DEVICE_FUNC
-    PlainObjectBase(PlainObjectBase&& other)
+    PlainObjectBase(PlainObjectBase&& other) EIGEN_NOEXCEPT
       : m_storage( std::move(other.m_storage) )
     {
     }
 
     EIGEN_DEVICE_FUNC
-    PlainObjectBase& operator=(PlainObjectBase&& other)
+    PlainObjectBase& operator=(PlainObjectBase&& other) EIGEN_NOEXCEPT
     {
       using std::swap;
       swap(m_storage, other.m_storage);
diff --git a/Eigen/src/Core/util/Macros.h b/Eigen/src/Core/util/Macros.h
index 2d2d30cd2..c9a0b9893 100644
--- a/Eigen/src/Core/util/Macros.h
+++ b/Eigen/src/Core/util/Macros.h
@@ -437,7 +437,8 @@
 // Does the compiler support C++11 noexcept?
 #ifndef EIGEN_HAS_CXX11_NOEXCEPT
   #if    EIGEN_MAX_CPP_VER>=11 && \
-         ((__cplusplus > 201103L) \
+         (__has_feature(cxx_noexcept) \
+      || (__cplusplus > 201103L) \
       || ((__cplusplus >= 201103L) && (EIGEN_COMP_GNUC_STRICT || EIGEN_COMP_CLANG || EIGEN_COMP_ICC>=1400)) \
       || EIGEN_COMP_MSVC >= 1900)
     #define EIGEN_HAS_CXX11_NOEXCEPT 1
@@ -911,10 +912,16 @@ namespace Eigen {
 #  define EIGEN_CATCH(X) else
 #endif
 
+
 #if EIGEN_HAS_CXX11_NOEXCEPT
+#   define EIGEN_INCLUDE_TYPE_TRAITS
+#   define EIGEN_NOEXCEPT noexcept
+#   define EIGEN_NOEXCEPT_IF(x) noexcept(x)
 #   define EIGEN_NO_THROW noexcept(true)
 #   define EIGEN_EXCEPTION_SPEC(X) noexcept(false)
 #else
+#   define EIGEN_NOEXCEPT
+#   define EIGEN_NOEXCEPT_IF(x)
 #   define EIGEN_NO_THROW throw()
 #   define EIGEN_EXCEPTION_SPEC(X) throw(X)
 #endif