Skip to main content
Log in

Matrices with prescribed off-diagonal elements

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

It is shown that there exists ann×n matrix all of whose eigenvalues and off-diagonal elements are prescribed. The number of such matrices is finite.

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.

Similar content being viewed by others

References

  1. D. London and H. Minc,Eigenvalues of matrices with prescribed entries, Technion Preprint, MT-80, May 1971.

  2. L. Mirsky,Matrices with prescribed characteristic roots and diagonal elements, J. London Math. Soc.33 (1958), 14–21.

    Article  MATH  MathSciNet  Google Scholar 

  3. G. N. de Oliveira,A conjecture and some problems on permanents, Pacific J. Math.32 (1970), 495–499.

    MATH  MathSciNet  Google Scholar 

  4. I. Schur,Über endliche gruppen und hermitesche formen, Math. Z.1 (1918), 184–201.

    Article  MathSciNet  Google Scholar 

  5. Van der Waerden,Modern Algebra, Vol. II, Fredrick Ungar Publishing Co., 1950.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Friedland, S. Matrices with prescribed off-diagonal elements. Israel J. Math. 11, 184–189 (1972). https://doi.org/10.1007/BF02762620

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02762620

Keywords

Navigation