Skip to main content
SpringerLink
Log in

Comments on “Dual methods for nonconvex spectrum optimization of multicarrier systems”

  • Original Paper
  • Published:
Optimization Letters Aims and scope Submit manuscript

Abstract

Yu and Liu’s strong duality theorem under the time-sharing property requires additionally the Slater regularity condition to hold for the considered general nonconvex problem, which is naturally satisfied for the specific application. We further extend the scope of the theorem under Ky Fan convexity, which is slightly weaker than Yu and Lui’s time-sharing property.

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.

Similar content being viewed by others

References

  1. Bazaraa M., Sherali H. and Shetty C. (1993). Nonlinear Programming: Theory and Algorithms 2nd ed. Wiley, New York

    Google Scholar 

  2. Borwein J. and Lewis A. (2000). Convex Analysis and Nonlinear Optimization: Theory and Examples. Springer, Berlin

    MATH  Google Scholar 

  3. Borwein J. and Zhuang D. (1986). On Fan’s minimax theorem. Math. Progr. 34: 232–234

    Article  MathSciNet  MATH  Google Scholar 

  4. Fan K. (1953). Minimax theorems. Proc. Natl. Acad. Sci. U.S.A. 39: 42–47

    Article  MATH  Google Scholar 

  5. Illés T. and Kassay G. (1994). Farkas type theorems for generalized convexities. Pure Math. Appl. 5: 225–239

    MathSciNet  MATH  Google Scholar 

  6. Peressini A., Sullivan F. and Uhl J. Jr. (1988). The Mathematics of Nonlinear Programming. Springer, Berlin

    MATH  Google Scholar 

  7. Roos, C., Terlaky, T., de Klerk, E.: Nonlinear Optimization, Delft University of Technology (2002)

  8. Yu W. and Lui R. (2006). Dual methods for nonconvex spectrum optimization of multicarrier systems. IEEE Trans. Commun. 54: 1310–1322

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Advanced Optimization Lab, School of Computational Engineering and Science, Department of Computing and Software, McMaster University, Hamilton, ON, L8S 4K1, Canada

    Tamás Terlaky & Jiaping Zhu

Authors
  1. Tamás Terlaky
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jiaping Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tamás Terlaky.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Terlaky, T., Zhu, J. Comments on “Dual methods for nonconvex spectrum optimization of multicarrier systems”. Optim Lett 2, 497–503 (2008). https://doi.org/10.1007/s11590-008-0076-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11590-008-0076-7

Keywords

Search

Navigation