EigenSolver 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;