SelfAdjointEigenSolver es; Matrix4f X = Matrix4f::Random(4,4); Matrix4f A = X + X.transpose(); es.compute(A); cout << "The eigenvalues of A are: " << es.eigenvalues().transpose() << endl; es.compute(A + Matrix4f::Identity(4,4)); // re-use es to compute eigenvalues of A+I cout << "The eigenvalues of A+I are: " << es.eigenvalues().transpose() << endl;