Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Local minimizer of a nonconvex quadratic programming problem

Ein Verfahren zur lokalen Minimierung nichtkonvexer quadratischer Programme

  • Short Communications
  • Published:
Computing Aims and scope Submit manuscript

Abstract

A modified Beale's algorithm is described which computes the local minimizer of any quadratic objective function subject to linear constraints. Some extensions are given, first of all the possibility of movement to the neighbouring local minimizer with a reduced objective function value in some special cases.

Zusammenfassung

Es wird ein modifizierter Beale Algorithmus zur Bestimmung eines lokalen Extremums eines beliebigen quadratischen Programms bei linearen Restriktionen vorgestellt. Dazu werden einige Erweiterungen angegeben, etwa die Möglichkeit zu einem benachbarten lokalen Minimum mit kleinerem Zielfunktionalswert überzugehen.

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.

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Beale, E. M. L.: On Minimizing a convex function subject to linear inequalities. J. Roy. Statist. Soc.17, 173–184. (1955).

    Google Scholar 

  2. Beale, E. M. L.: On quadratic programming. Naval. Res. Logistics Quarterly6: 227–243. (1957)

    Google Scholar 

  3. Abadie, J.: Nonlinear programming. Amsterdam: North-Holland. 1967.

    Google Scholar 

  4. Mráz, F.: Solving a noncovexx quadratic programming problem. Sborník PFČ. Budějovice 1980, 67–83 (in czech).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mráz, F. Local minimizer of a nonconvex quadratic programming problem. Computing 45, 283–289 (1990). https://doi.org/10.1007/BF02250640

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02250640

AMS Subject Classification

Key words