A smooth vector field for saddle point problems

  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},
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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