Skip to main content
Log in

Monotone norms

  • Published:
Numerische Mathematik Aims and scope Submit manuscript

Summary

The idea of norms monotone in the nonnegative orthant is extended to partially ordered finite dimensional real spaces. Relations between the monotonicity of a norm and of the dual and the subordinate matrix norm are investigated.

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. Barker, G. P.: Matrices which have invariant cones. To appear Czech. Math. J.

  2. Bauer, F. L., Stoer, J., Witzgall, C.: Absolute and monotone norms. Numer. Math.3, 257–264 (1961).

    Google Scholar 

  3. —: On the field of values subordinate to a norm. Numer. Math.4, 103–113 (1962).

    Google Scholar 

  4. Nirschl, N., Schneider, H.: The Bauer field of values of a matrix. Numer. Math.6, 355–365 (1964).

    Google Scholar 

  5. Schneider, H.: Bound norms. Linear Algebra and its Appl.3, 11–21 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barker, G.P. Monotone norms. Numer. Math. 18, 321–326 (1971). https://doi.org/10.1007/BF01404682

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01404682

Keywords

Navigation