A smooth vector field for saddle point problems

@article{Drr2011ASV,
  title={A smooth vector field for saddle point problems},
  author={Hans-Bernd D{\"u}rr and Christian Ebenbauer},
  journal={IEEE Conference on Decision and Control and European Control Conference},
  year={2011},
  pages={4654-4660}
}
In this paper we propose a novel smooth vector field whose trajectories globally converge to the saddle point of the Lagrangian associated with a convex and constrained optimization problem. Under suitable assumptions, we prove global convergence of the trajectories for the class of strictly convex problems and we propose a vector field for linear programs. 
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Locating omega-limit sets using height functions

  • A. Arsie, C. Ebenbauer
  • Journal of Differential Equations, 248(10):2458…
  • 2010
Highly Influential
3 Excerpts

Ein nichtlineares System zum Lösen von Linearen Programmen und Sattelpunktproblemen

  • H.-B. Dürr, S.-S. Zeng, C. Ebenbauer
  • 17. Steirisches Seminar über Regelungstechnik und…
  • 2011

A Primer of Real Analytic Functions

  • S. Krantz, H. R. Parks
  • Birkhäuser
  • 2002
1 Excerpt

Nonlinear Systems

  • H. Khalil
  • Prentice Hall
  • 2002
1 Excerpt

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