DOC: update cholesky docstring regarding input checking

Author: mirca

numpy/linalg/linalg.py

@@ -687,8 +687,10 @@ def cholesky(a):
     Return the Cholesky decomposition, `L * L.H`, of the square matrix `a`,
     where `L` is lower-triangular and .H is the conjugate transpose operator
     (which is the ordinary transpose if `a` is real-valued).  `a` must be
-    Hermitian (symmetric if real-valued) and positive-definite.  Only `L` is
-    actually returned.
+    Hermitian (symmetric if real-valued) and positive-definite. No
+    checking is performed to verify whether `a` is Hermitian or not.
+    In addition, only the lower-triangular and diagonal elements of `a`
+    are used. Only `L` is actually returned.
 
     Parameters
     ----------