## References and Further Reading

The balanced-QR method and its error analysis is described in the following papers.

- R.S. Martin, G. Peters and J.H. Wilkinson, "The QR Algorithm for Real Hessenberg Matrices", Numerische Mathematik, 14 (1970), 219--231.
- B.N. Parlett and C. Reinsch, "Balancing a Matrix for Calculation of Eigenvalues and Eigenvectors", Numerische Mathematik, 13 (1969), 293--304.
- A. Edelman and H. Murakami, "Polynomial roots from companion matrix eigenvalues", Mathematics of Computation, Vol. 64 No. 210 (1995), 763--776.