Skip to main content
Log in

On the eigenproblem for normal matrices

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Summary

The Householder-Givens method for the solution of the Hermitean eigenproblem is used for the solution of the skew-Hermitean and the normal eigenproblem.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Eberlein, P. J.: A Jacobi-like method for the automatic computation of eigenvalues and eigenvectors of an arbitrary matrix. J. S.I.A.M.10, 74–88 (1962).

    Article  Google Scholar 

  2. Eberlein, P. J., Boothroyd, J.: Solution to the eigenproblem by a norm-reducing Jacobi type method. Num. Math.11, 1–12 (1968).

    Google Scholar 

  3. Paardekooper, M. H. C.: An eigenvalue algorithm based on norm-reducing transformations. Eindhoven: Doctoral dissertation 1969.

  4. Paardekooper, M. H. C.: An eigenvalue algorithm for skew-symmetric matrices. Num. Math.17, 189–202 (1971).

    Google Scholar 

  5. Ruhe, A.: On the quadratic convergence of the Jacobi method for normal matrices. B.I.T.7, 305–313 (1967).

    Google Scholar 

  6. Van der Sluis, A., Gerritsen, C. W. A.: Private communication.

  7. Wilkinson, J. H.: The algebraic eigenvalue problem. London: Oxford University Press 1965.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was performed at the (Mathematical Institute of the) State University in Utrecht.

Rights and permissions

Reprints and permissions

About this article

Cite this article

de Vries, H.J. On the eigenproblem for normal matrices. Numer. Math. 21, 37–42 (1973). https://doi.org/10.1007/BF01436185

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01436185

Keywords

Navigation