Skip to main content
Log in

An inclusion region for the field of values of a doubly stochastic matrix based on its graph

  • Research papers
  • Published:
Aequationes mathematicae 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. Dmitriev, N. andDynkin, E.,On the characteristic numbers of a stochastic matrix. Dokl. Adad. Nauk SSSR49 (1945), 159–162.

    MathSciNet  MATH  Google Scholar 

  2. Johnson, C. R.,Gersgorin sets and the field of values. J. Math. Anal. Appl.45 (1974), 416–419.

    Article  MathSciNet  MATH  Google Scholar 

  3. Johnson, C. R.,Functional characterizations of the field of values and the convex hull of the spectrum. Proc. Amer. Math. Soc61 (1976), 201–204.

    Article  MathSciNet  MATH  Google Scholar 

  4. Johnson, C. R. andKellogg, R. B.,An inequality for doubly stochastic matrices. J. Res. Nat. Bur. Standards80B (1976), 433–436.

    MathSciNet  MATH  Google Scholar 

  5. Karpelevich, F.,On the eigenvalues of a matrix with nonnegative elements. Izv. Akad. Nauk SSR Ser. Mat.15 (1951), 361–383. (Russian).

    MATH  Google Scholar 

  6. Kellogg, R. B.,On complex eigenvalues of M and P matrices. Numer. Math.19 (1972), 170–175.

    Article  MathSciNet  Google Scholar 

  7. Kellogg, R. B. andStephens, A.,Complex eigenvalues of a nonnegative matrix with a specified graph. Linear Algebra and Appl. (to appear).

  8. Ryser, H.,Combinatorial Mathematics. Carus Monograph No. 14, Wiley and Sons, 1963.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Johnson, C.R. An inclusion region for the field of values of a doubly stochastic matrix based on its graph. Aequat. Math. 17, 305–310 (1978). https://doi.org/10.1007/BF01818568

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01818568

AMS (1970) subject classification

Navigation