Skip to main content
Log in

OnQ-matrices

  • Short Communication
  • Published:
Mathematical Programming Submit manuscript

Abstract

In a recent paper [1], Aganagic and Cottle have established a constructive characterization for aP 0-matrix to be aQ-matrix. Among the principal results in this paper, we show that the same characterization holds for anL-matrix as well, and that the symmetric copositive-plusQ-matrices are precisely those which are strictly copositive.

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. M. Aganagic and R.W. Cottle, “A note onQ-matrices”, Tech. Rept. SOL78-5, Systems Optimization Laboratory, Department of Operations Research, Stanford University (March, 1978).

  2. R.W. Cottle, G.J. Habetber and C.E. Lemke, “Quadratic forms semi-definite over convex cones”,Proceedings of the international symposium on mathematical programming, Princeton, 1967, pp. 551–565.

  3. B.C. Eaves, “The linear complementarity problem”,Management Science 17 (1971) 621–634.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  6. O.L. Mangasarian,Nonlinear programming (McGraw-Hill, New York, 1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pang, JS. OnQ-matrices. Mathematical Programming 17, 243–247 (1979). https://doi.org/10.1007/BF01588247

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01588247

Key words

Navigation