Skip to main content
SpringerLink
Log in

On Rump’s characterization of P-matrices

  • Short Communication
  • Published:
Optimization Letters Aims and scope Submit manuscript

Abstract

The necessary and sufficient P-matrix condition by Rump (Linear Algebra Appl 363:237–250, 2003) is simplified by showing that one of its assumptions can be deleted without affecting validity of the result.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Johnson C.R., Tsatsomeros M.J.: Convex sets of nonsingular and P-matrices. Linear Multilinear Algebra 38, 233–239 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  2. Rohn J.: Systems of linear interval equations. Linear Algebra Appl. 126, 39–78 (1989). doi:10.1016/0024-3795(89)90004-9

    Article  MathSciNet  MATH  Google Scholar 

  3. Rump S.M.: On P-matrices. Linear Algebra Appl. 363, 237–250 (2003). doi:10.1016/S0024-3795(01)00590-0

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Computer Science, Czech Academy of Sciences, Prague, Czech Republic

    Jiri Rohn

  2. School of Business Administration, Anglo-American University, Prague, Czech Republic

    Jiri Rohn

Authors
  1. Jiri Rohn
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jiri Rohn.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rohn, J. On Rump’s characterization of P-matrices. Optim Lett 6, 1017–1020 (2012). https://doi.org/10.1007/s11590-011-0318-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11590-011-0318-y

Keywords

Search

Navigation