diff --git a/src/linalg/decomposition.rs b/src/linalg/decomposition.rs
index d75cae9c..e952f18b 100644
--- a/src/linalg/decomposition.rs
+++ b/src/linalg/decomposition.rs
@@ -188,7 +188,7 @@ impl<T: ComplexField, R: Dim, C: Dim, S: Storage<T, R, C>> Matrix<T, R, C, S> {
         SVD::try_new_unordered(self.into_owned(), compute_u, compute_v, eps, max_niter)
     }
 
-    /// Attempts to compute the Polar Decomposition of  a `matrix
+    /// Attempts to compute the Polar Decomposition of  a `matrix` (indirectly uses SVD)
     ///
     /// # Arguments
     ///
diff --git a/src/linalg/svd.rs b/src/linalg/svd.rs
index 0e5d7f6c..70ab68a8 100644
--- a/src/linalg/svd.rs
+++ b/src/linalg/svd.rs
@@ -643,7 +643,7 @@ where
     }
 
     /// converts SVD results to Polar decomposition form of the original Matrix
-    ///      A = P'U
+    ///      A = P' * U
     /// The polar decomposition used here is Left Polar Decomposition (or Reverse Polar Decomposition)
     /// Returns None if the SVD hasn't been calculated
     pub fn to_polar(&self) -> Option<(OMatrix<T, R, R>, OMatrix<T, R, C>)>