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Numerical Mathematics and Optimization

Academic staff

Eike Börgens

Academic staff
Chair of Mathematics VII
Emil-Fischer-Straße 30
97074 Würzburg
Building: 30 (Mathematik West)
Room: 02.002
Portrait Eike Boergens

Research Interests

  • Optimization
  • Alternating Direction Methods of Multipliers (ADMM)
  • Nash Problems
  • Generalized Nash Problems
  • Splitting Methods for (generalized) Nash Problems

  • Eike Börgens, Christian Kanzow, Patrick Mehlitz und Gerd Wachsmuth
    New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Asymptotic KKT Conditions
    SIAM Journal on Optimization (Preprint), to appear
     
  • Eike Börgens and Christian Kanzow
    ADMM-type Methods for Generalized Nash Equilibrium Problems in Hilbert Spaces
    (Preprint,),  Institute of Mathematics, University of Würzburg, Würzburg, August 2019.
     
  • Eike Börgens, Christian Kanzow and Daniel Steck
    Local and Global Analysis of Multiplier Methods for Constrained Optimization in Banach Spaces.
    SIAM Journal on Control and Optimization (Preprint), to appear
     
  • Eike Börgens and Christian Kanzow
    A Distributed Regularized Jacobi-type ADMM-Method for Generalized Nash Equilibrium Problems in Hilbert Spaces.
    Numerical Functional Analysis and Optimization 39 (12), pp. 1316 - 1349 (DOI: 10.1080/01630563.2018.1477800) (Preprint not available since it is identical to the accepted version) ( BibTeX )
     
  • Eike Börgens and Christian Kanzow
    Regularized Jacobi-type ADMM-Methods for a Class of Separable Convex Optimization Problems in Hilbert Spaces
    Computational Optimization and Applications 73(3), pp. 755 - 790 (DOI:  10.1007/s10589-019-00087-9) (Preprint) ( BibTeX )

 

Winter Term 2020/2021

  • Tutorial in Analysis 1 (in collaboration with Prof. Dr. Jörn Steuding and Tobias Geiger)
     

­­Summer Term 2020

  • Tutorial in Linear Algebra 2 (in collaboration with Prof. Dr. Daniel Wachsmuth, Marvin Dippel and Tobias Geiger)
     

Winter Term 2019/2020

  • Tutorial in Operations Research (in collaboration with Prof. Dr. Daniel Wachsmuth)
     

Summer Term 2019

  • Supplementary lesson in Mathematics for computer science students (in collaboration with Prof. Dr. Manfred Dobrowolski, Andreas Raharja and Simon Reinwand)
     

Winter Term 2018/2019

  • Tutorial in Analysis 1 (in collaboration with PD. Dr. Jürgen Grahl, Tim Breitenbach and Melina Kienle)
     

Summer Term 2018

  • Tutorial in Numerical Analysis 2 (in collaboration with Prof. Dr. Manfred Dobrowolski)
     

Winter Term 2017/2018

  • Tutorial in Numerical Analysis 2 (in collaboration with Prof. Dr. Manfred Dobrowolski)
     

Summer Term 2017

  • Tutorial in Operations Research (in collaboration with Prof. Dr. Christian Kanzow)