Publications

Preprints

• C. Kanzow, A. Schwartz, and F. Weiß: The sparse(st) optimization: reformulations, optimality, stationarity and numerical results, 2022
• A. Tillmann, D. Bienstock, A. Lodi, und A. Schwartz: Cardinality Minimization, Constraints, and Regularization: A Survey, 2021

Journal Articles

• G. Oggioni, A. Schwartz, A.-K. Wiertz and G. Zöttl: Dynamic pricing and strategic retailers in the energy sector: a multi-leader-follower approach, European Journal of Operations Research, 2024

• J. Grübel, O. Huber, L. Hümbs, M. Klimm, M. Schmidt, und A. Schwartz: Nonconvex Equilibrium Models for Energy Markets: Exploiting Price Information to determine the Existence of an Equilibrium, Optimization Methods and Software, 2022

• V. Grimm, D. Nowak, L. Schewe, M. Schmidt, A. Schwartz, G. Zöttl: A Tractable Multi-Leader Multi-Follower Peak-Load-Pricing Model with Strategic Interaction, Mathematical Programming, 2021

• C. Kanzow, A.B. Raharja, A. Schwartz: Sequential Optimality Conditions for Cardinality-Constrained Optimization Problems with Applications, Computational Optimization and Applications, 2021

• C. Kanzow, A.B. Raharja, A. Schwartz: An Augmented Lagrangian Method for Cardinality-Constrained Optimization Problems, Journal of Optimization Theory and Applications, 2021

• T. Hoheisel, B. Pablos, A. Pooladian, A. Schwartz, L. Steverango: A study of one-parameter regularization methods for mathematical programs with vanishing constraints, Optimization Methods and Software, 2020

• M. Branda, M. Bucher, M. Cervinka, A. Schwartz: Convergence of a Scholtes-type Regularization Method for Cardinality-constrained Optimization Problems with an Application in Sparse Robust Portfolio Optimization, Computational Optimization and Applications, 2018.

• M. Bucher, A. Schwartz: Second-Order Optimality Conditions and Improved Convergence Results for Regularization Methods for Cardinality-Constrained Optimization Problems, Journal of Optimization Theory and Applications, 2018.

• O. Burdakov, C. Kanzow, A. Schwartz: Mathematical Programs with Cardinality Constraints: Reformulation by Complementarity-type Constraints and a Regularization Method, SIAM Journal on Optimization, 2016.

• M. Cervinka, C. Kanzow, A. Schwartz: Constraint Qualifications and Optimality Conditions of Cardinality-constrained Optimization Problems, Mathematical Programming, 2016.

•  C. Kanzow, A. Schwartz: The Price of Inexactness: Convergence Properties of Relaxation Methods for Mathematical Programs with Complementarity Constraints Revisited, Mathematics of Operations Research, 2015.

•  J. Franke, C. Kanzow, W. Leininger, A. Schwartz: Lottery versus All-Pay Auction Contests: A Revenue Dominance Theorem, Games and Economic Behavior, 2014

• C. Kanzow, A. Schwartz: Convergence Properties of the Inexact Lin-Fukushima Relaxation Method for Mathematical Programs with Equilibrium Constraints, Computational Optimization and Applications, 2014

• J. Franke, C. Kanzow, W. Leininger, A. Schwartz:  Effort Maximization in Asymmetric Contest Games with Heterogeneous Contestants, Economic Theory, 2013.

• T. Hoheisel, C. Kanzow, A. Schwartz: Theoretical and Numerical Comparison of Relaxation Methods for Mathematical Programs with Complementarity Constraints, Mathematical Programming, 2013.

• C. Kanzow, A. Schwartz,: A New Regularization Method for Mathematical Programs with Complementarity Constraints with Strong Convergence Properties, SIAM Journal on Optimization, 2013.

• T. Hoheisel, C. Kanzow, A. Schwartz: Convergence of a Local Regularization Approach for Mathematical Programs with Complementarity or Vanishing Constraints, Optimization Methods and Software, 2012.

• T. Hoheisel, C. Kanzow, A. Schwartz: Mathematical Programs with Vanishing Constraints: A New Regularization Approach with Strong Convergence Properties, Optimization, 2012.

• T. Hoheisel, C. Kanzow, A. Schwartz: Improved Convergence Properties of the Lin-Fukushima-Regularization Method for Mathematical Programs with Complementarity Constraints, Numerical Algebra, Control, and Optimization, 2011.

• C. Kanzow, A. Schwartz: Mathematical Programs with Equilibrium Constraints: Enhanced Fritz John-Conditions, New Constraint Qualifications and Improved Exact Penalty Results, SIAM Journal on Optimization, 2010.

Conference Articles

• D. Nowak, T. Mahn, H. Al-Shatri, A. Schwartz, A. Klein, A Generalized Nash Game for Mobile Edge Computation Offloading, in 2018 6th IEEE International Conference on Mobile Cloud Computing, Services, and Engineering, 2018

Book Chapters

• O. Burdakov, C. Kanzow, A. Schwartz, On a Reformulation of Mathematical Programs with Cardinality Constraints, in Advances in Global Optimization, D. Y. Gao, N. Ruan und W. Xing, Hrsg., Springer Verlag, 2015

Books

• C. Kanzow, A. Schwartz: Spieltheorie - Theorie und Verfahren zur Lösung von Nash- und verallgemeinerten Nash-Gleichgewichtsproblemen, Birkhäuser Verlag, 2018

Theses

• Alexandra Schwartz: Mathematical Programs with Complementarity Constraints: Theory, Methods, and Applications, Dissertation an der JMU Würzburg, 2011
• Alexandra Väth: Ein semismoothes SQP-Verfahren zur Bestimmung normalisierter Nash-Gleichgewichte, Diplomarbeit an der JMU Würzburg, 2008