Christian Kanzow

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 32

Top Topics

Nash Equilibrium

Optimization Problems

Variational Inequalities

Top Venues

Comput. Optim. Appl.

J. Optim. Theory Appl.

Publications

Christian Kanzow, Tanja Neder
A bundle-type method for nonsmooth DC programs. J. Glob. Optim. 88 (2) (2024)
Alberto De Marchi, Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz
Constrained composite optimization and augmented Lagrangian methods. Math. Program. 201 (1) (2023)
Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz, Gerd Wachsmuth
An augmented Lagrangian method for optimization problems with structured geometric constraints. Math. Program. 199 (1) (2023)
Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz
Convergence Analysis of the Proximal Gradient Method in the Presence of the Kurdyka-Łojasiewicz Property Without Global Lipschitz Assumptions. SIAM J. Optim. 33 (4) (2023)
Christian Kanzow, Daniel Steck
Regularization of limited memory quasi-Newton methods for large-scale nonconvex minimization. Math. Program. Comput. 15 (3) (2023)
Christian Kanzow, Matteo Lapucci
Inexact penalty decomposition methods for optimization problems with geometric constraints. Comput. Optim. Appl. 85 (3) (2023)
Christian Kanzow, Patrick Mehlitz
Convergence Properties of Monotone and Nonmonotone Proximal Gradient Methods Revisited. J. Optim. Theory Appl. 195 (2) (2022)
Christian Kanzow, Theresa Lechner
COAP 2021 Best Paper Prize. Comput. Optim. Appl. 83 (3) (2022)
Christian Kanzow, Andreas B. Raharja, Alexandra Schwartz
Sequential optimality conditions for cardinality-constrained optimization problems with applications. Comput. Optim. Appl. 80 (1) (2021)
Christian Kanzow, Theresa Lechner
Correction to: Globalized inexact proximal Newton-type methods for nonconvex composite functions. Comput. Optim. Appl. 80 (2) (2021)
Christian Kanzow, Patrick Mehlitz, Daniel Steck
Relaxation schemes for mathematical programmes with switching constraints. Optim. Methods Softw. 36 (6) (2021)
Christian Kanzow, Andreas B. Raharja, Alexandra Schwartz
An Augmented Lagrangian Method for Cardinality-Constrained Optimization Problems. J. Optim. Theory Appl. 189 (3) (2021)
Eike Börgens, Christian Kanzow
ADMM-Type Methods for Generalized Nash Equilibrium Problems in Hilbert Spaces. SIAM J. Optim. 31 (1) (2021)
Christian Kanzow, Theresa Lechner
Globalized inexact proximal Newton-type methods for nonconvex composite functions. Comput. Optim. Appl. 78 (2) (2021)
Eike Börgens, Christian Kanzow, Patrick Mehlitz, Gerd Wachsmuth
New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Asymptotic KKT Conditions. SIAM J. Optim. 30 (4) (2020)
Eike Börgens, Christian Kanzow, Daniel Steck
Local and Global Analysis of Multiplier Methods for Constrained Optimization in Banach Spaces. SIAM J. Control. Optim. 57 (6) (2019)
Christian Kanzow, Veronika Karl, Daniel Steck, Daniel Wachsmuth
The Multiplier-Penalty Method for Generalized Nash Equilibrium Problems in Banach Spaces. SIAM J. Optim. 29 (1) (2019)
Christian Kanzow, Daniel Steck
Improved local convergence results for augmented Lagrangian methods in $${\varvec{C}}^\mathbf{2}$$ C 2 -cone reducible constrained optimization. Math. Program. 177 (1-2) (2019)
Eike Börgens, Christian Kanzow
Regularized Jacobi-type ADMM-methods for a class of separable convex optimization problems in Hilbert spaces. Comput. Optim. Appl. 73 (3) (2019)
Christian Kanzow, Daniel Steck
Quasi-Variational Inequalities in Banach Spaces: Theory and Augmented Lagrangian Methods. SIAM J. Optim. 29 (4) (2019)
Daniel Steck, Christian Kanzow
Regularization of Limited Memory Quasi-Newton Methods for Large-Scale Nonconvex Minimization. CoRR (2019)
Christian Kanzow, Daniel Steck
Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Comput. Optim. Appl. 69 (3) (2018)
Leonardo Galli, Christian Kanzow, Marco Sciandrone
A nonmonotone trust-region method for generalized Nash equilibrium and related problems with strong convergence properties. Comput. Optim. Appl. 69 (3) (2018)
Christian Kanzow, Daniel Steck, Daniel Wachsmuth
An Augmented Lagrangian Method for Optimization Problems in Banach Spaces. SIAM J. Control. Optim. 56 (1) (2018)
Christian Kanzow, Daniel Steck
On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces. SIAM J. Control. Optim. 56 (3) (2018)
Christian Kanzow, Yekini Shehu
Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Comput. Optim. Appl. 67 (3) (2017)
Christian Kanzow, Daniel Steck
An example comparing the standard and safeguarded augmented Lagrangian methods. Oper. Res. Lett. 45 (6) (2017)
Michal Cervinka, Christian Kanzow, Alexandra Schwartz
Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Math. Program. 160 (1-2) (2016)
Christian Kanzow, Daniel Steck
Augmented Lagrangian Methods for the Solution of Generalized Nash Equilibrium Problems. SIAM J. Optim. 26 (4) (2016)
Oleg P. Burdakov, Christian Kanzow, Alexandra Schwartz
Mathematical Programs with Cardinality Constraints: Reformulation by Complementarity-Type Conditions and a Regularization Method. SIAM J. Optim. 26 (1) (2016)
Simone Görner, Christian Kanzow
On Newton's Method for the Fermat-Weber Location Problem. J. Optim. Theory Appl. 170 (1) (2016)
Christian Kanzow
On the multiplier-penalty-approach for quasi-variational inequalities. Math. Program. 160 (1-2) (2016)
Christian Kanzow, Alexandra Schwartz
The Price of Inexactness: Convergence Properties of Relaxation Methods for Mathematical Programs with Complementarity Constraints Revisited. Math. Oper. Res. 40 (2) (2015)
Francisco Facchinei, Christian Kanzow, Sebastian Karl, Simone Sagratella
The semismooth Newton method for the solution of quasi-variational inequalities. Comput. Optim. Appl. 62 (1) (2015)
Nadja Harms, Tim Hoheisel, Christian Kanzow
On a Smooth Dual Gap Function for a Class of Player Convex Generalized Nash Equilibrium Problems. J. Optim. Theory Appl. 166 (2) (2015)
Francisco Facchinei, Christian Kanzow, Simone Sagratella
Solving quasi-variational inequalities via their KKT conditions. Math. Program. 144 (1-2) (2014)
Jörg Franke, Christian Kanzow, Wolfgang Leininger, Alexandra Schwartz
Lottery versus all-pay auction contests: A revenue dominance theorem. Games Econ. Behav. 83 (2014)
Nadja Harms, Christian Kanzow, Oliver Stein
Smoothness properties of a regularized gap function for quasi-variational inequalities. Optim. Methods Softw. 29 (4) (2014)
Christian Kanzow, Alexandra Schwartz
Convergence properties of the inexact Lin-Fukushima relaxation method for mathematical programs with complementarity constraints. Comput. Optim. Appl. 59 (1-2) (2014)
Nadja Harms, Tim Hoheisel, Christian Kanzow
On a Smooth Dual Gap Function for a Class of Quasi-Variational Inequalities. J. Optim. Theory Appl. 163 (2) (2014)
Axel Dreves, Anna von Heusinger, Christian Kanzow, Masao Fukushima
A globalized Newton method for the computation of normalized Nash equilibria. J. Glob. Optim. 56 (2) (2013)
Alfio Borzì, Christian Kanzow
Formulation and Numerical Solution of Nash Equilibrium Multiobjective Elliptic Control Problems. SIAM J. Control. Optim. 51 (1) (2013)
Christian Kanzow, Alexandra Schwartz
A New Regularization Method for Mathematical Programs with Complementarity Constraints with Strong Convergence Properties. SIAM J. Optim. 23 (2) (2013)
Wolfgang Achtziger, Tim Hoheisel, Christian Kanzow
A smoothing-regularization approach to mathematical programs with vanishing constraints. Comput. Optim. Appl. 55 (3) (2013)
Tim Hoheisel, Christian Kanzow, Alexandra Schwartz
Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Math. Program. 137 (1-2) (2013)
Michael Brückner, Christian Kanzow, Tobias Scheffer
Static prediction games for adversarial learning problems. J. Mach. Learn. Res. 13 (2012)
Axel Dreves, Christian Kanzow, Oliver Stein
Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. J. Glob. Optim. 53 (4) (2012)
Anna von Heusinger, Christian Kanzow, Masao Fukushima
Newton's method for computing a normalized equilibrium in the generalized Nash game through fixed point formulation. Math. Program. 132 (1-2) (2012)
Tim Hoheisel, Christian Kanzow, Alexandra Schwartz
Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. Optim. Methods Softw. 27 (3) (2012)
Axel Dreves, Francisco Facchinei, Christian Kanzow, Simone Sagratella
On the solution of the KKT conditions of generalized Nash equilibrium problems. SIAM J. Optim. 21 (3) (2011)
Axel Dreves, Christian Kanzow
Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems. Comput. Optim. Appl. 50 (1) (2011)
Hannes Buchholzer, Christian Kanzow, Peter Knabner, Serge Kräutle
The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions. Comput. Optim. Appl. 50 (2) (2011)
Francisco Facchinei, Christian Kanzow
Generalized Nash Equilibrium Problems. Ann. Oper. Res. 175 (1) (2010)
Christian Kanzow, Alexandra Schwartz
Mathematical Programs with Equilibrium Constraints: Enhanced Fritz John-conditions, New Constraint Qualifications, and Improved Exact Penalty Results. SIAM J. Optim. 20 (5) (2010)
Francisco Facchinei, Christian Kanzow
Penalty Methods for the Solution of Generalized Nash Equilibrium Problems. SIAM J. Optim. 20 (5) (2010)
Anna von Heusinger, Christian Kanzow
Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Comput. Optim. Appl. 43 (3) (2009)
Christian Kanzow, Izabella Ferenczi, Masao Fukushima
On the Local Convergence of Semismooth Newton Methods for Linear and Nonlinear Second-Order Cone Programs Without Strict Complementarity. SIAM J. Optim. 20 (1) (2009)
Amir Beck, Aharon Ben-Tal, Christian Kanzow
A Fast Method for Finding the Global Solution of the Regularized Structured Total Least Squares Problem for Image Deblurring. SIAM J. Matrix Anal. Appl. 30 (1) (2008)
Anna von Heusinger, Christian Kanzow
optimization reformulations of the generalized Nash equilibrium problem. Optim. Methods Softw. 23 (6) (2008)
Wolfgang Achtziger, Christian Kanzow
Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Math. Program. 114 (1) (2008)
Christian Kanzow, Stefania Petra
Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Optim. Methods Softw. 22 (5) (2007)
Christian Kanzow, Andreas Klug
An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Comput. Optim. Appl. 37 (3) (2007)
Francisco Facchinei, Christian Kanzow
Generalized Nash equilibrium problems. 4OR 5 (3) (2007)
Christian Kanzow, Andreas Klug
On Affine-Scaling Interior-Point Newton Methods for Nonlinear Minimization with Bound Constraints. Comput. Optim. Appl. 35 (2) (2006)
Christian Kanzow, Christian Nagel, Hirokazu Kato, Masao Fukushima
Successive Linearization Methods for Nonlinear Semidefinite Programs. Comput. Optim. Appl. 31 (3) (2005)
Christian Kanzow, Christian Nagel
Quadratic Convergence of a Nonsmooth Newton-Type Method for Semidefinite Programs Without Strict Complementarity. SIAM J. Optim. 15 (3) (2005)
Christian Kanzow, Stefania Petra
On a semismooth least squares formulation of complementarity problems with gap reduction. Optim. Methods Softw. 19 (5) (2004)
Christian Kanzow
Inexact semismooth Newton methods for large-scale complementarity problems. Optim. Methods Softw. 19 (3-4) (2004)
Christian Kanzow, Christian Nagel
Corrigendum: Semidefinite Programs: New Search Directions, Smoothing-Type Methods, and Numerical Results. SIAM J. Optim. 14 (3) (2004)
Christian Kanzow, Christian Nagel
Semidefinite Programs: New Search Directions, Smoothing-Type Methods, and Numerical Results. SIAM J. Optim. 13 (1) (2002)
Stephan Engelke, Christian Kanzow
Improved smoothing-type methods for the solution of linear programs. Numerische Mathematik 90 (3) (2002)
Stephan Engelke, Christian Kanzow
Predictor-Corrector Smoothing Methods for Linear Programs with a More Flexible Update of the Smoothing Parameter. Comput. Optim. Appl. 23 (3) (2002)
Stephan Engelke, Christian Kanzow
On the Solution of Linear Programs by Jacobian Smoothing Methods. Ann. Oper. Res. 103 (1-4) (2001)
Todd S. Munson, Francisco Facchinei, Michael C. Ferris, Andreas Fischer, Christian Kanzow
The Semismooth Algorithm for Large Scale Complementarity Problems. INFORMS J. Comput. 13 (4) (2001)
Christian Kanzow
Strictly feasible equation-based methods for mixed complementarity problems. Numerische Mathematik 89 (1) (2001)
Bintong Chen, Xiaojun Chen, Christian Kanzow
A penalized Fischer-Burmeister NCP-function. Math. Program. 88 (1) (2000)
Christian Kanzow
Global Optimization Techniques for Mixed Complementarity Problems. J. Glob. Optim. 16 (1) (2000)
Tecla De Luca, Francisco Facchinei, Christian Kanzow
A Theoretical and Numerical Comparison of Some Semismooth Algorithms for Complementarity Problems. Comput. Optim. Appl. 16 (2) (2000)
Francisco Facchinei, Andreas Fischer, Christian Kanzow
On the Identification of Zero Variables in an Interior-Point Framework. SIAM J. Optim. 10 (4) (2000)
Christian Kanzow, Houduo Qi
A QP-free constrained Newton-type method for variational inequality problems. Math. Program. 85 (1) (1999)
Michael C. Ferris, Christian Kanzow, Todd S. Munson
Feasible descent algorithms for mixed complementarity problems. Math. Program. 86 (3) (1999)
Christian Kanzow, Heiko Pieper
Jacobian Smoothing Methods for Nonlinear Complementarity Problems. SIAM J. Optim. 9 (2) (1999)
Christian Kanzow, Helmut Kleinmichel
A New Class of Semismooth Newton-Type Methods for Nonlinear Complementarity Problems. Comput. Optim. Appl. 11 (3) (1998)
Francisco Facchinei, Andreas Fischer, Christian Kanzow
On the Accurate Identification of Active Constraints. SIAM J. Optim. 9 (1) (1998)
Francisco Facchinei, Andreas Fischer, Christian Kanzow
Regularity Properties of a Semismooth Reformulation of Variational Inequalities. SIAM J. Optim. 8 (3) (1998)
Christian Kanzow, Masao Fukushima
Solving box constrained variational inequalities by using the natural residual with D-gap function globalization. Oper. Res. Lett. 23 (1-2) (1998)
Christian Kanzow, Houyuan Jiang
A continuation method for (strongly) monotone variational inequalities. Math. Program. 81 (1998)
Christian Kanzow
-based method for nonlinear complementarity problems. Numerische Mathematik 80 (4) (1998)
Christian Kanzow, Masao Fukushima
Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities. Math. Program. 83 (1998)
Christian Kanzow
A new approach to continuation methods for complementarity problems with uniform P-functions. Oper. Res. Lett. 20 (2) (1997)
Christian Kanzow
Global Convergence Properties of Some Iterative Methods for Linear Complementarity Problems. SIAM J. Optim. 6 (2) (1996)
Christian Kanzow
Some Noninterior Continuation Methods for Linear Complementarity Problems. SIAM J. Matrix Anal. Appl. 17 (4) (1996)
Tecla De Luca, Francisco Facchinei, Christian Kanzow
A semismooth equation approach to the solution of nonlinear complementarity problems. Math. Program. 75 (1996)
Andreas Fischer, Christian Kanzow
On finite termination of an iterative method for linear complementarity problems. Math. Program. 74 (1996)
Francisco Facchinei, Christian Kanzow
A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems. Math. Program. 76 (1996)
Carl Geiger, Christian Kanzow
On the resolution of monotone complementarity problems. Comput. Optim. Appl. 5 (2) (1996)
Christian Kanzow
An unconstrained optimization technique for large-scale linearly constrained convex minimization problems. Computing 53 (2) (1994)