diff --git a/doc/snippets/EigenSolver_compute.cpp b/doc/snippets/EigenSolver_compute.cpp
new file mode 100644
index 0000000..a5c96e9
--- /dev/null
+++ b/doc/snippets/EigenSolver_compute.cpp
@@ -0,0 +1,6 @@
+EigenSolver<MatrixXf> es;
+MatrixXf A = MatrixXf::Random(4,4);
+es.compute(A, /* computeEigenvectors = */ false);
+cout << "The eigenvalues of A are: " << es.eigenvalues().transpose() << endl;
+es.compute(A + MatrixXf::Identity(4,4), false); // re-use es to compute eigenvalues of A+I
+cout << "The eigenvalues of A+I are: " << es.eigenvalues().transpose() << endl;