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  1. MatrixXcf A = MatrixXcf::Random(4,4);
  2. HessenbergDecomposition<MatrixXcf> hd(4);
  3. hd.compute(A);
  4. cout << "The matrix H in the decomposition of A is:" << endl << hd.matrixH() << endl;
  5. hd.compute(2*A); // re-use hd to compute and store decomposition of 2A
  6. cout << "The matrix H in the decomposition of 2A is:" << endl << hd.matrixH() << endl;