Skip to main content
Log in

A note onQ-matrices

  • Short Communication
  • Published:
Mathematical Programming Submit manuscript

Abstract

This paper concerns three classes of matrices that are relevant to the linear complementarity problem. We prove that within the class ofP 0-matrices, theQ-matrices are precisely the regular matrices.

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. B.C. Eaves, “The linear complementarity problem”,Management Science 17 (1971) 612–634.

    Google Scholar 

  2. M. Fiedler and V. Ptak, “Some generalizations of positive definiteness and monotonicity”,Numerische Mathematik 9 (1966) 163–172.

    Google Scholar 

  3. C.B. Garcia, “Some classes of matrices in linear complementarity theory”,Mathematical Programming 5 (1973) 299–310.

    Google Scholar 

  4. S. Karamardian, “The complementarity problem”,Mathematical Programming 2 (1972) 107–129.

    Google Scholar 

  5. C.E. Lemke, “Bimatrix equilibrium points and mathematical programming”,Management Science 11 (1965) 681–689.

    Google Scholar 

  6. K.G. Murty, “On the number of solutions to the complementarity problem and spanning properties of complementary cones”,Linear Algebra and Its Applications 5 (1972) 65–108.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by Department of Energy, Contract EY-76-S-03-0326 PA # 18.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aganagic, M., Cottle, R.W. A note onQ-matrices. Mathematical Programming 16, 374–377 (1979). https://doi.org/10.1007/BF01582122

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01582122

Key words

Navigation