Skip to main content
Log in

Fenchel and Lagrange duality are equivalent

  • Short Communication
  • Published:
Mathematical Programming Submit manuscript

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

References

  1. Ky Fan, I. Glicksberg and A.J. Hoffman, “Systems of inequalities involving convex functions”,Proceedings of the American Mathematical Society 8 (1957) 617–622.

    Google Scholar 

  2. W. Fenchel, “Convex cones, sets and functions”, lecture notes, Princeton University, Princeton, N.J. (1951).

    Google Scholar 

  3. D. Luenberger,Optimization by vector space methods (Wiley, New York, 1969).

    Google Scholar 

  4. T.L. Magnanti, “A linear approximation approach to duality in nonlinear programming”, Tech. Rept. OR 016-73, Operations Research Center, M.I.T. (April 1973).

  5. R.T. Rockafellar,Convex analysis (Princeton University Press, Princeton, N.J., 1970).

    Google Scholar 

  6. J. Stoer and C. Witzgall,Convexity and optimization in finite dimensions I (Springer, Berlin, 1970).

    Google Scholar 

  7. A. Whinston, “Some applications of the conjugate function theory to duality”, in: J. Abadie, ed.,Nonlinear programming (North-Holland, Amsterdam, 1967) pp. 77–98.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by the US Army Research Office (Durham) under contract DAHC04-70-C-0058.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Magnanti, T.L. Fenchel and Lagrange duality are equivalent. Mathematical Programming 7, 253–258 (1974). https://doi.org/10.1007/BF01585523

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01585523

Keywords

Navigation