diff --git a/Eigen/src/Cholesky/LDLT.h b/Eigen/src/Cholesky/LDLT.h
index d0fbddcb3..eeccf9725 100644
--- a/Eigen/src/Cholesky/LDLT.h
+++ b/Eigen/src/Cholesky/LDLT.h
@@ -127,6 +127,8 @@ void LDLT<MatrixType>::compute(const MatrixType& a)
   m_matrix = a;
 
   if (size <= 1) {
+    m_p.setZero();
+    m_transpositions.setZero();
     return;
   }