Skip to main content
Log in

Bounds for the inequality of Wielandt

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

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.

References

  1. Bauer, F. L., andA. S. Householder: Some inequalities involving the Euclidean condition of a matrix. Num. Math.2, 308–311 (1960).

    Article  Google Scholar 

  2. Kantorovich, L. V.: Functional analysis and applied mathematics. Uspehi Mat Nauk3 (28), 89–185 (1948).

    Google Scholar 

  3. Householder, A. S.: The theory of matrices in numerical analysis. New York: Blaisdell Publ. Co. 1964.

    Google Scholar 

  4. Golub, G. H.: Comparison of the variance of minimum variance and weighted least squares regression coefficients. Annals of Math. Stat.34, 984–991 (1963).

    Google Scholar 

  5. Brauer, A., andA. C. Mewborn: The greatest distance between two characteristic roots of a matrix. Duke Math. J.26, 653–661 (1959).

    Article  Google Scholar 

  6. Mirsky, L.: The spread of a matrix. Mathematika3, 127–130 (1956).

    Google Scholar 

  7. —— Inequalities for normal and hermitian matrices. Duke Math. J.24, 591–599 (1957)

    Article  Google Scholar 

  8. Popoviciu, T.: Sur les équations algébriques ayant toutes leurs racines réelles. Mathematica9, 129–132 (1935).

    Google Scholar 

  9. Nagy, J. v. Sz.: Über algebraische Gleichungen mit lauter reellen Wurzeln. Jahresbericht der Deutschen Mathematiker-Vereinigung27, 37–43 (1918).

    Google Scholar 

  10. Bauer, F. L.: Optimally scaled matrices. Numer. Math.5, 73–87 (1963).

    Article  Google Scholar 

  11. Mond, B.: A matrix inequality including that of Kantorovich. J. of Math. Analysis and Applications13, 49–52 (1966).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Loizou, G. Bounds for the inequality of Wielandt. Numer. Math. 10, 142–146 (1967). https://doi.org/10.1007/BF02174146

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02174146

Keywords

Navigation