diff --git a/Eigen/src/Core/Matrix.h b/Eigen/src/Core/Matrix.h
index 53d10fd31..2fc38c812 100644
--- a/Eigen/src/Core/Matrix.h
+++ b/Eigen/src/Core/Matrix.h
@@ -139,6 +139,9 @@ class Matrix
                           && SizeAtCompileTime!=Dynamic && ((sizeof(Scalar)*SizeAtCompileTime)%16)==0 };
     EIGEN_MAKE_ALIGNED_OPERATOR_NEW_IF(NeedsToAlign)
 
+    Base& base() { return *static_cast<Base*>(this); }
+    const Base& base() const { return *static_cast<const Base*>(this); }
+
     EIGEN_STRONG_INLINE int rows() const { return m_storage.rows(); }
     EIGEN_STRONG_INLINE int cols() const { return m_storage.cols(); }
 
@@ -487,13 +490,8 @@ class Matrix
     /** Override MatrixBase::swap() since for dynamic-sized matrices of same type it is enough to swap the
       * data pointers.
       */
-    inline void swap(Matrix& other)
-    {
-      if (Base::SizeAtCompileTime==Dynamic)
-        m_storage.swap(other.m_storage);
-      else
-        this->Base::swap(other);
-    }
+    template<typename OtherDerived>
+    void swap(const MatrixBase<OtherDerived>& other);
 
     /** \name Map
       * These are convenience functions returning Map objects. The Map() static functions return unaligned Map objects,
@@ -652,8 +650,38 @@ class Matrix
       m_storage.data()[0] = x;
       m_storage.data()[1] = y;
     }
+    
+    template<typename MatrixType, typename OtherDerived, bool IsSameType, bool IsDynamicSize>
+    friend struct ei_matrix_swap_impl;
 };
 
+template<typename MatrixType, typename OtherDerived,
+         bool IsSameType = ei_is_same_type<MatrixType, OtherDerived>::ret,
+         bool IsDynamicSize = MatrixType::SizeAtCompileTime==Dynamic>
+struct ei_matrix_swap_impl
+{
+  static inline void run(MatrixType& matrix, MatrixBase<OtherDerived>& other)
+  {
+    matrix.base().swap(other);
+  }
+};
+
+template<typename MatrixType, typename OtherDerived>
+struct ei_matrix_swap_impl<MatrixType, OtherDerived, true, true>
+{
+  static inline void run(MatrixType& matrix, MatrixBase<OtherDerived>& other)
+  {
+    matrix.m_storage.swap(other.derived().m_storage);
+  }
+};
+
+template<typename _Scalar, int _Rows, int _Cols, int _Options, int _MaxRows, int _MaxCols>
+template<typename OtherDerived>
+inline void Matrix<_Scalar, _Rows, _Cols, _Options, _MaxRows, _MaxCols>::swap(const MatrixBase<OtherDerived>& other)
+{
+  ei_matrix_swap_impl<Matrix, OtherDerived>::run(*this, *const_cast<MatrixBase<OtherDerived>*>(&other));
+}
+
 /** \defgroup matrixtypedefs Global matrix typedefs
   *
   * \ingroup Core_Module