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ORCIDChristian Kanzow
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- affiliation: Julius Maximilian University of Würzburg, Germany
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2020 – today
- 2024
[j96]Christian Kanzow
, Tanja Neder:
A bundle-type method for nonsmooth DC programs. J. Glob. Optim. 88(2): 285-326 (2024)- [c1]Torsten Krauß, Jan König, Alexandra Dmitrienko, Christian Kanzow:
Automatic Adversarial Adaption for Stealthy Poisoning Attacks in Federated Learning. NDSS 2024 - 2023
- [j95]Christian Kanzow, Matteo Lapucci:
Inexact penalty decomposition methods for optimization problems with geometric constraints. Comput. Optim. Appl. 85(3): 937-971 (2023) - [j94]Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz, Gerd Wachsmuth:
An augmented Lagrangian method for optimization problems with structured geometric constraints. Math. Program. 199(1): 1365-1415 (2023) - [j93]Alberto De Marchi, Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz:
Constrained composite optimization and augmented Lagrangian methods. Math. Program. 201(1): 863-896 (2023) - [j92]Christian Kanzow, Daniel Steck:
Regularization of limited memory quasi-Newton methods for large-scale nonconvex minimization. Math. Program. Comput. 15(3): 417-444 (2023) - [j91]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): 3038-3056 (2023) - 2022
- [j90]Christian Kanzow, Theresa Lechner:
COAP 2021 Best Paper Prize. Comput. Optim. Appl. 83(3): 723-726 (2022) - [j89]Christian Kanzow, Patrick Mehlitz:
Convergence Properties of Monotone and Nonmonotone Proximal Gradient Methods Revisited. J. Optim. Theory Appl. 195(2): 624-646 (2022) - 2021
- [j88]Christian Kanzow, Theresa Lechner:
Globalized inexact proximal Newton-type methods for nonconvex composite functions. Comput. Optim. Appl. 78(2): 377-410 (2021) - [j87]Christian Kanzow, Andreas B. Raharja, Alexandra Schwartz:
Sequential optimality conditions for cardinality-constrained optimization problems with applications. Comput. Optim. Appl. 80(1): 185-211 (2021) - [j86]Christian Kanzow, Theresa Lechner:
Correction to: Globalized inexact proximal Newton-type methods for nonconvex composite functions. Comput. Optim. Appl. 80(2): 679-680 (2021) - [j85]Christian Kanzow, Andreas B. Raharja, Alexandra Schwartz:
An Augmented Lagrangian Method for Cardinality-Constrained Optimization Problems. J. Optim. Theory Appl. 189(3): 793-813 (2021) - [j84]Christian Kanzow, Patrick Mehlitz, Daniel Steck:
Relaxation schemes for mathematical programmes with switching constraints. Optim. Methods Softw. 36(6): 1223-1258 (2021) - [j83]Eike Börgens, Christian Kanzow:
ADMM-Type Methods for Generalized Nash Equilibrium Problems in Hilbert Spaces. SIAM J. Optim. 31(1): 377-403 (2021) - 2020
- [j82]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): 2956-2982 (2020)
2010 – 2019
- 2019
- [j81]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): 755-790 (2019) - [j80]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): 425-438 (2019) - [j79]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): 3694-3722 (2019) - [j78]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): 767-793 (2019) - [j77]Christian Kanzow, Daniel Steck:
Quasi-Variational Inequalities in Banach Spaces: Theory and Augmented Lagrangian Methods. SIAM J. Optim. 29(4): 3174-3200 (2019) - [i1]Daniel Steck, Christian Kanzow:
Regularization of Limited Memory Quasi-Newton Methods for Large-Scale Nonconvex Minimization. CoRR abs/1911.04584 (2019) - 2018
- [j76]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): 629-652 (2018) - [j75]Christian Kanzow, Daniel Steck:
Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Comput. Optim. Appl. 69(3): 801-824 (2018) - [j74]Christian Kanzow, Daniel Steck, Daniel Wachsmuth:
An Augmented Lagrangian Method for Optimization Problems in Banach Spaces. SIAM J. Control. Optim. 56(1): 272-291 (2018) - [j73]Christian Kanzow, Daniel Steck:
On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces. SIAM J. Control. Optim. 56(3): 1716-1738 (2018) - 2017
- [j72]Christian Kanzow, Yekini Shehu:
Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Comput. Optim. Appl. 67(3): 595-620 (2017) - [j71]Christian Kanzow, Daniel Steck:
An example comparing the standard and safeguarded augmented Lagrangian methods. Oper. Res. Lett. 45(6): 598-603 (2017) - 2016
- [j70]Simone Görner, Christian Kanzow:
On Newton's Method for the Fermat-Weber Location Problem. J. Optim. Theory Appl. 170(1): 107-118 (2016) - [j69]Christian Kanzow:
On the multiplier-penalty-approach for quasi-variational inequalities. Math. Program. 160(1-2): 33-63 (2016) - [j68]Michal Cervinka, Christian Kanzow, Alexandra Schwartz:
Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Math. Program. 160(1-2): 353-377 (2016) - [j67]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): 397-425 (2016) - [j66]Christian Kanzow, Daniel Steck:
Augmented Lagrangian Methods for the Solution of Generalized Nash Equilibrium Problems. SIAM J. Optim. 26(4): 2034-2058 (2016) - 2015
- [j65]Francisco Facchinei, Christian Kanzow, Sebastian Karl, Simone Sagratella:
The semismooth Newton method for the solution of quasi-variational inequalities. Comput. Optim. Appl. 62(1): 85-109 (2015) - [j64]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): 659-685 (2015) - [j63]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): 253-275 (2015) - 2014
- [j62]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): 249-262 (2014) - [j61]Jörg Franke, Christian Kanzow, Wolfgang Leininger, Alexandra Schwartz:
Lottery versus all-pay auction contests: A revenue dominance theorem. Games Econ. Behav. 83: 116-126 (2014) - [j60]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): 413-438 (2014) - [j59]Francisco Facchinei, Christian Kanzow, Simone Sagratella:
Solving quasi-variational inequalities via their KKT conditions. Math. Program. 144(1-2): 369-412 (2014) - [j58]Nadja Harms, Christian Kanzow, Oliver Stein:
Smoothness properties of a regularized gap function for quasi-variational inequalities. Optim. Methods Softw. 29(4): 720-750 (2014) - 2013
- [j57]Wolfgang Achtziger, Tim Hoheisel, Christian Kanzow:
A smoothing-regularization approach to mathematical programs with vanishing constraints. Comput. Optim. Appl. 55(3): 733-767 (2013) - [j56]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): 327-340 (2013) - [j55]Tim Hoheisel, Christian Kanzow, Alexandra Schwartz:
Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Math. Program. 137(1-2): 257-288 (2013) - [j54]Alfio Borzì, Christian Kanzow:
Formulation and Numerical Solution of Nash Equilibrium Multiobjective Elliptic Control Problems. SIAM J. Control. Optim. 51(1): 718-744 (2013) - [j53]Christian Kanzow, Alexandra Schwartz:
A New Regularization Method for Mathematical Programs with Complementarity Constraints with Strong Convergence Properties. SIAM J. Optim. 23(2): 770-798 (2013) - 2012
- [j52]Axel Dreves, Christian Kanzow, Oliver Stein:
Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. J. Glob. Optim. 53(4): 587-614 (2012) - [j51]Michael Brückner, Christian Kanzow, Tobias Scheffer:
Static prediction games for adversarial learning problems. J. Mach. Learn. Res. 13: 2617-2654 (2012) - [j50]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): 99-123 (2012) - [j49]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): 483-512 (2012) - 2011
- [j48]Axel Dreves, Christian Kanzow:
Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems. Comput. Optim. Appl. 50(1): 23-48 (2011) - [j47]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): 193-221 (2011) - [j46]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): 1082-1108 (2011) - 2010
- [j45]Francisco Facchinei, Christian Kanzow:
Generalized Nash Equilibrium Problems. Ann. Oper. Res. 175(1): 177-211 (2010) - [j44]Francisco Facchinei, Christian Kanzow:
Penalty Methods for the Solution of Generalized Nash Equilibrium Problems. SIAM J. Optim. 20(5): 2228-2253 (2010) - [j43]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): 2730-2753 (2010)
2000 – 2009
- 2009
- [j42]Anna von Heusinger, Christian Kanzow:
Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Comput. Optim. Appl. 43(3): 353-377 (2009) - [j41]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): 297-320 (2009) - 2008
- [j40]Wolfgang Achtziger, Christian Kanzow:
Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Math. Program. 114(1): 69-99 (2008) - [j39]Anna von Heusinger, Christian Kanzow:
SC 1 optimization reformulations of the generalized Nash equilibrium problem. Optim. Methods Softw. 23(6): 953-973 (2008) - [j38]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): 419-443 (2008) - 2007
- [j37]Francisco Facchinei, Christian Kanzow:
Generalized Nash equilibrium problems. 4OR 5(3): 173-210 (2007) - [j36]Christian Kanzow, Andreas Klug:
An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Comput. Optim. Appl. 37(3): 329-353 (2007) - [j35]Christian Kanzow, Stefania Petra:
Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Optim. Methods Softw. 22(5): 713-735 (2007) - 2006
- [j34]Christian Kanzow, Andreas Klug:
On Affine-Scaling Interior-Point Newton Methods for Nonlinear Minimization with Bound Constraints. Comput. Optim. Appl. 35(2): 177-197 (2006) - 2005
- [j33]Christian Kanzow, Christian Nagel, Hirokazu Kato, Masao Fukushima:
Successive Linearization Methods for Nonlinear Semidefinite Programs. Comput. Optim. Appl. 31(3): 251-273 (2005) - [j32]Christian Kanzow, Christian Nagel:
Quadratic Convergence of a Nonsmooth Newton-Type Method for Semidefinite Programs Without Strict Complementarity. SIAM J. Optim. 15(3): 654-672 (2005) - 2004
- [j31]Christian Kanzow:
Inexact semismooth Newton methods for large-scale complementarity problems. Optim. Methods Softw. 19(3-4): 309-325 (2004) - [j30]Christian Kanzow, Stefania Petra:
On a semismooth least squares formulation of complementarity problems with gap reduction. Optim. Methods Softw. 19(5): 507-525 (2004) - [j29]Christian Kanzow, Christian Nagel:
Corrigendum: Semidefinite Programs: New Search Directions, Smoothing-Type Methods, and Numerical Results. SIAM J. Optim. 14(3): 936-937 (2004) - 2002
- [j28]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): 299-320 (2002) - [j27]Stephan Engelke, Christian Kanzow:
Improved smoothing-type methods for the solution of linear programs. Numerische Mathematik 90(3): 487-507 (2002) - [j26]Christian Kanzow, Christian Nagel:
Semidefinite Programs: New Search Directions, Smoothing-Type Methods, and Numerical Results. SIAM J. Optim. 13(1): 1-23 (2002) - 2001
- [j25]Stephan Engelke, Christian Kanzow:
On the Solution of Linear Programs by Jacobian Smoothing Methods. Ann. Oper. Res. 103(1-4): 49-70 (2001) - [j24]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): 294-311 (2001) - [j23]Christian Kanzow:
Strictly feasible equation-based methods for mixed complementarity problems. Numerische Mathematik 89(1): 135-160 (2001) - 2000
- [j22]Tecla De Luca, Francisco Facchinei, Christian Kanzow:
A Theoretical and Numerical Comparison of Some Semismooth Algorithms for Complementarity Problems. Comput. Optim. Appl. 16(2): 173-205 (2000) - [j21]Christian Kanzow:
Global Optimization Techniques for Mixed Complementarity Problems. J. Glob. Optim. 16(1): 1-21 (2000) - [j20]Bintong Chen, Xiaojun Chen, Christian Kanzow:
A penalized Fischer-Burmeister NCP-function. Math. Program. 88(1): 211-216 (2000) - [j19]Francisco Facchinei, Andreas Fischer, Christian Kanzow:
On the Identification of Zero Variables in an Interior-Point Framework. SIAM J. Optim. 10(4): 1058-1078 (2000)
1990 – 1999
- 1999
- [j18]Christian Kanzow, Houduo Qi:
A QP-free constrained Newton-type method for variational inequality problems. Math. Program. 85(1): 81-106 (1999) - [j17]Michael C. Ferris, Christian Kanzow, Todd S. Munson:
Feasible descent algorithms for mixed complementarity problems. Math. Program. 86(3): 475-497 (1999) - [j16]Christian Kanzow, Heiko Pieper:
Jacobian Smoothing Methods for Nonlinear Complementarity Problems. SIAM J. Optim. 9(2): 342-373 (1999) - 1998
- [j15]Christian Kanzow, Helmut Kleinmichel:
A New Class of Semismooth Newton-Type Methods for Nonlinear Complementarity Problems. Comput. Optim. Appl. 11(3): 227-251 (1998) - [j14]Christian Kanzow, Houyuan Jiang:
A continuation method for (strongly) monotone variational inequalities. Math. Program. 81: 103-125 (1998) - [j13]Christian Kanzow, Masao Fukushima:
Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities. Math. Program. 83: 55-87 (1998) - [j12]Christian Kanzow:
An inexactQP-based method for nonlinear complementarity problems. Numerische Mathematik 80(4): 557-577 (1998) - [j11]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): 45-51 (1998) - [j10]Francisco Facchinei, Andreas Fischer, Christian Kanzow:
Regularity Properties of a Semismooth Reformulation of Variational Inequalities. SIAM J. Optim. 8(3): 850-869 (1998) - [j9]Francisco Facchinei, Andreas Fischer, Christian Kanzow:
On the Accurate Identification of Active Constraints. SIAM J. Optim. 9(1): 14-32 (1998) - 1997
- [j8]Christian Kanzow:
A new approach to continuation methods for complementarity problems with uniform P-functions. Oper. Res. Lett. 20(2): 85-92 (1997) - 1996
- [j7]Carl Geiger, Christian Kanzow:
On the resolution of monotone complementarity problems. Comput. Optim. Appl. 5(2): 155-173 (1996) - [j6]Andreas Fischer, Christian Kanzow:
On finite termination of an iterative method for linear complementarity problems. Math. Program. 74: 279-292 (1996) - [j5]Tecla De Luca, Francisco Facchinei, Christian Kanzow:
A semismooth equation approach to the solution of nonlinear complementarity problems. Math. Program. 75: 407-439 (1996) - [j4]Francisco Facchinei, Christian Kanzow:
A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems. Math. Program. 76: 493-512 (1996) - [j3]Christian Kanzow:
Global Convergence Properties of Some Iterative Methods for Linear Complementarity Problems. SIAM J. Optim. 6(2): 326-341 (1996) - [j2]Christian Kanzow:
Some Noninterior Continuation Methods for Linear Complementarity Problems. SIAM J. Matrix Anal. Appl. 17(4): 851-868 (1996) - 1994
- [j1]Christian Kanzow:
An unconstrained optimization technique for large-scale linearly constrained convex minimization problems. Computing 53(2): 101-117 (1994)
Coauthor Index
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