diff --git a/Eigen/src/Cholesky/LDLT.h b/Eigen/src/Cholesky/LDLT.h
index 4729c3621..4177000fd 100644
--- a/Eigen/src/Cholesky/LDLT.h
+++ b/Eigen/src/Cholesky/LDLT.h
@@ -97,7 +97,7 @@ void LDLT<MatrixType>::compute(const MatrixType& a)
   const int size = a.rows();
   m_matrix.resize(size, size);
   m_isPositiveDefinite = true;
-  const RealScalar eps = ei_sqrt(precision<Scalar>());
+  const RealScalar eps = precision<Scalar>();
 
   if (size<=1)
   {
diff --git a/Eigen/src/Cholesky/LLT.h b/Eigen/src/Cholesky/LLT.h
index c4e7fdffd..e02b82551 100644
--- a/Eigen/src/Cholesky/LLT.h
+++ b/Eigen/src/Cholesky/LLT.h
@@ -97,7 +97,7 @@ void LLT<MatrixType>::compute(const MatrixType& a)
   assert(a.rows()==a.cols());
   const int size = a.rows();
   m_matrix.resize(size, size);
-  const RealScalar eps = ei_sqrt(precision<Scalar>());
+  const RealScalar eps = precision<Scalar>();
 
   RealScalar x;
   x = ei_real(a.coeff(0,0));