diff --git a/Eigen/src/QR/ColPivHouseholderQR.h b/Eigen/src/QR/ColPivHouseholderQR.h
index 2fa85722e..0cdcaa1cb 100644
--- a/Eigen/src/QR/ColPivHouseholderQR.h
+++ b/Eigen/src/QR/ColPivHouseholderQR.h
@@ -330,12 +330,12 @@ template<typename _MatrixType> class ColPivHouseholderQR
       */
     inline Index nonzeroPivots() const
     {
-      eigen_assert(m_isInitialized && "LU is not initialized.");
+      eigen_assert(m_isInitialized && "ColPivHouseholderQR is not initialized.");
       return m_nonzero_pivots;
     }
 
     /** \returns the absolute value of the biggest pivot, i.e. the biggest
-      *          diagonal coefficient of U.
+      *          diagonal coefficient of R.
       */
     RealScalar maxPivot() const { return m_maxpivot; }
 
diff --git a/Eigen/src/SVD/JacobiSVD.h b/Eigen/src/SVD/JacobiSVD.h
index 29134c03f..78e744cf0 100644
--- a/Eigen/src/SVD/JacobiSVD.h
+++ b/Eigen/src/SVD/JacobiSVD.h
@@ -292,7 +292,7 @@ void real_2x2_jacobi_svd(const MatrixType& matrix, Index p, Index q,
   *
   * \class JacobiSVD
   *
-  * \brief Two-sided Jacobi SVD decomposition of a square matrix
+  * \brief Two-sided Jacobi SVD decomposition of a rectangular matrix
   *
   * \param MatrixType the type of the matrix of which we are computing the SVD decomposition
   * \param QRPreconditioner this optional parameter allows to specify the type of QR decomposition that will be used internally