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Numerical Mathematics and Optimization

Börgens Eike

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 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 Semester 2018/2019

  • Übungen zur Vorlesung Analysis 1 (in Zusammenarbeit mit Herrn PD. Dr. Grahl und Herrn Breitenbach) Weitere Details werden demnächst bekannt gegeben.
     

Sommer Semester 2018

  • Übungen zur Vorlesung Numerische Mathematik 2 (in Zusammenarbeit mit Herrn Prof. Dr. Dobrowolski), in den Gruppen: Mi 12-14 in BSZ 01.101, Do 8-10 in BSZ 00.101.
     

Winter Semester 2017/2018

  • Übungen zur Vorlesung Numerische Mathematik 1 (in Zusammenarbeit mit Herrn Prof. Dr. Dobrowolski), in den Gruppen: Di 16-18 in BSZ 00.103, Mi 8-10 in BSZ 00.106, Mi 16-18 in BSZ 00.101.
     

Sommer Semester 2016

  • Übung zur Vorlesung Operations Research (in Zusammenarbeit mit Herrn Prof. Dr. Kanzow), in der Gruppe Fr 10-12 SE 30.