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## Kanzow, Christian

Compute Distance To:
 Author ID: kanzow.christian Published as: Kanzow, C.; Kanzow, Christian
 Documents Indexed: 131 Publications since 1994, including 4 Books
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#### Co-Authors

 13 single-authored 19 Facchinei, Francisco 15 Hoheisel, Tim 14 Schwartz, Alexandra 13 Fukushima, Masao 10 Steck, Daniel A. 8 Fischer, Andreas M. 7 Flegel, Michael L. 5 Börgens, Eike 5 Nagel, Christian 5 von Heusinger, Anna 5 Yamashita, Nobuo 4 Dreves, Axel 4 Harms, Nadja 4 Sagratella, Simone 3 Achtziger, Wolfgang 3 Engelke, Stephan 3 Geiger, Carl 3 Stein, Oliver 2 Buchholzer, Hannes 2 Burdakov, Oleg P. 2 de Luca, Tecla 2 Ferris, Michael C. 2 Franke, Jörg 2 Klug, Andreas 2 Leininger, Wolfgang 2 Mordukhovich, Boris S. 2 Morimoto, Tomoyuki 2 Munson, Todd S. 2 Outrata, Jiří V. 2 Peng, Jiming 2 Petra, Stefania 2 Phan, Hung M. 2 Qi, Houduo 2 Shehu, Yekini 2 Wachsmuth, Daniel 1 Beck, Amir 1 Ben-Tal, Aharon 1 Borzì, Alfio 1 Brückner, Michael 1 Burke, James V. 1 Červinka, Michal 1 Chen, Bintong 1 Chen, Xiaojun 1 Ferenczi, Izabella 1 Galli, Leonardo 1 Görner, Simone 1 Jiang, Houyuan 1 Karl, Sebastian 1 Karl, Veronika 1 Kato, Hirokazu 1 Kleinmichel, Helmut 1 Knabner, Peter 1 Kräutle, Serge 1 Mehlitz, Patrick 1 Pieper, Heiko 1 Qi, Liqun 1 Scheffer, Tobias 1 Sciandrone, Marco 1 Wachsmuth, Gerd 1 Zupke, Martin
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#### Serials

 19 SIAM Journal on Optimization 17 Computational Optimization and Applications 15 Mathematical Programming. Series A. Series B 12 Journal of Optimization Theory and Applications 7 Optimization Methods & Software 6 Optimization 5 SIAM Journal on Control and Optimization 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 Operations Research Letters 3 Journal of Global Optimization 2 Journal of Mathematical Analysis and Applications 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 Annals of Operations Research 1 Applied Mathematics and Optimization 1 Computing 1 Mathematics of Operations Research 1 Numerical Functional Analysis and Optimization 1 Applications of Mathematics 1 Games and Economic Behavior 1 Linear Algebra and its Applications 1 Set-Valued Analysis 1 Economic Theory 1 INFORMS Journal on Computing 1 Journal of Nonlinear and Convex Analysis 1 Journal of Machine Learning Research (JMLR) 1 4OR 1 Pacific Journal of Optimization 1 GAMM-Mitteilungen 1 Journal of Fixed Point Theory and Applications 1 Set-Valued and Variational Analysis 1 Numerical Algebra, Control and Optimization 1 Mathematik Kompakt
all top 5

#### Fields

 114 Operations research, mathematical programming (90-XX) 53 Numerical analysis (65-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Operator theory (47-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

126 Publications have been cited 2,826 times in 1,448 Documents Cited by Year
Some noninterior continuation methods for linear complementarity problems. Zbl 0868.90123
Kanzow, Christian
1996
A semismooth equation approach to the solution of nonlinear complementarity problems. Zbl 0874.90185
de Luca, Tecla; Facchinei, Francisco; Kanzow, Christian
1996
Generalized Nash equilibrium problems. Zbl 1185.91016
Facchinei, Francisco; Kanzow, Christian
2010
Generalized Nash equilibrium problems. Zbl 1211.91162
Facchinei, Francisco; Kanzow, Christian
2007
On the accurate identification of active constraints. Zbl 0960.90080
Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian
1998
On the resolution of monotone complementarity problems. Zbl 0859.90113
Geiger, Carl; Kanzow, Christian
1996
Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1064.65037
Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao
2004
A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems. Zbl 0871.90096
Facchinei, Francisco; Kanzow, Christian
1997
A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062
Chen, Bintong; Chen, Xiaojun; Kanzow, Christian
2000
Penalty methods for the solution of generalized Nash equilibrium problems. Zbl 1211.90228
Facchinei, Francisco; Kanzow, Christian
2010
Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Zbl 1262.65065
Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra
2013
Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Zbl 1151.90046
Achtziger, Wolfgang; Kanzow, Christian
2008
A new class of semismooth Newton-type methods for nonlinear complementarity problems. Zbl 0913.90250
Kanzow, Christian; Kleinmichel, Helmut
1998
Abadie-type constraint qualification for mathematical programs with equilibrium constraints. Zbl 1090.90200
Flegel, M. L.; Kanzow, C.
2005
On the local convergence of semismooth Newton methods for linear and nonlinear second-order cone programs without strict complementarity. Zbl 1190.90239
Kanzow, Christian; Ferenczi, Izabella; Fukushima, Masao
2009
Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495
von Heusinger, Anna; Kanzow, Christian
2009
Nonlinear complementarity as unconstrained optimization. Zbl 0845.90120
Kanzow, C.
1996
Jacobian smoothing methods for nonlinear complementarity problems. Zbl 0986.90065
Kanzow, Christian; Pieper, Heiko
1999
On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Zbl 1147.90397
Flegel, Michael L.; Kanzow, Christian
2005
Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Zbl 1149.90143
Flegel, Michael L.; Kanzow, Christian; Outrata, Jiří V.
2007
Solving quasi-variational inequalities via their KKT conditions. Zbl 1293.65100
Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone
2014
On the solution of the KKT conditions of generalized Nash equilibrium problems. Zbl 1230.90176
Dreves, Axel; Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone
2011
Beyond monotonicity in regularization methods for nonlinear complementarity problems. Zbl 0997.90085
Facchinei, Francisco; Kanzow, Christian
1999
New NCP-functions and their properties. Zbl 0886.90146
Kanzow, C.; Yamashita, N.; Fukushima, M.
1997
A QP-free constrained Newton-type method for variational inequality problems. Zbl 0958.65078
Kanzow, Christian; Qi, Hou-Duo
1999
Mathematical programs with equilibrium constraints: enhanced Fritz John-conditions, new constraint qualifications, and improved exact penalty results. Zbl 1208.49016
Kanzow, Christian; Schwartz, Alexandra
2010
Semidefinite programs: New search directions, smoothing-type methods, and numerical results. Zbl 1029.90052
Kanzow, Christian; Nagel, Christian
2002
A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Zbl 0964.90046
De Luca, Tecla; Facchinei, Francisco; Kanzow, Christian
2000
On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. Zbl 1151.90552
Kanzow, Christian; Klug, Andreas
2006
Global convergence properties of some iterative methods for linear complementarity problems. Zbl 0847.90132
Kanzow, Christian
1996
Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558
Kanzow, Christian
2004
On the Abadie and Guignard constraint qualifications for mathematical programmes with vanishing constraints. Zbl 1162.90560
Hoheisel, Tim; Kanzow, Christian
2009
Equivalence of the generalized complementarity problem to differentiable unconstrained minimization. Zbl 0866.90124
Kanzow, C.; Fukushima, M.
1996
Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications. Zbl 1141.90572
Hoheisel, Tim; Kanzow, Christian
2008
On M-stationary points for mathematical programs with equilibrium constraints. Zbl 1136.90484
Flegel, Michael L.; Kanzow, Christian
2005
Strictly feasible equation-based methods for mixed complementarity problems. Zbl 0992.65070
Kanzow, Christian
2001
Mathematical programs with cardinality constraints: reformulation by complementarity-type conditions and a regularization method. Zbl 1332.90220
Burdakov, Oleg P.; Kanzow, Christian; Schwartz, Alexandra
2016
On the minimum norm solution of linear programs. Zbl 1043.90046
Kanzow, C.; Qi, H.; Qi, L.
2003
An active set-type Newton method for constrained nonlinear systems. Zbl 0983.90060
Kanzow, Christian
2001
Global optimization techniques for mixed complementarity problems. Zbl 1009.90119
Kanzow, Christian
2000
Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. Zbl 1281.90055
Dreves, Axel; Kanzow, Christian; Stein, Oliver
2012
A new regularization method for mathematical programs with complementarity constraints with strong convergence properties. Zbl 1282.65069
Kanzow, Christian; Schwartz, Alexandra
2013
Exact penalty results for mathematical programs with vanishing constraints. Zbl 1185.90187
Hoheisel, Tim; Kanzow, Christian; Outrata, Jiří V.
2010
Relaxation methods for generalized Nash equilibrium problems with inexact line search. Zbl 1182.91024
von Heusinger, A.; Kanzow, C.
2009
First- and second-order optimality conditions for mathematical programs with vanishing constraints. Zbl 1164.90407
Hoheisel, Tim; Kanzow, Christian
2007
Feasible descent algorithms for mixed complementarity problems. Zbl 0946.90094
Ferris, Michael C.; Kanzow, Christian; Munson, Todd S.
1999
Successive linearization methods for nonlinear semidefinite programs. Zbl 1122.90058
Kanzow, Christian; Nagel, Christian; Kato, Hirokazu; Fukushima, Masao
2005
On finite termination of an iterative method for linear complementarity problems. Zbl 0855.90125
Fischer, Andreas; Kanzow, Christian
1996
Newton’s method for computing a normalized equilibrium in the generalized Nash game through fixed point formulation. Zbl 1237.91021
von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao
2012
An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Zbl 1180.90219
Kanzow, Christian; Klug, Andreas
2007
Theory and numerics of constrained problems of optimization. Zbl 1003.90044
Geiger, Carl; Kanzow, Christian
2002
The semismooth algorithm for large scale complementarity problems. Zbl 1238.90123
Munson, Todd S.; Facchinei, Francisco; Ferris, Michael C.; Fischer, Andreas; Kanzow, Christian
2001
Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities. Zbl 0920.90134
Kanzow, Christian; Fukushima, Masao
1998
Effort maximization in asymmetric contest games with heterogeneous contestants. Zbl 1333.91004
Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra
2013
Regularity properties of a semismooth reformulation of variational inequalities. Zbl 0913.90249
Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian
1998
Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems. Zbl 1227.90040
Dreves, Axel; Kanzow, Christian
2011
A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints. Zbl 1055.90087
Flegel, Michael L.; Kanzow, Christian
2003
Improved smoothing-type methods for the solution of linear programs. Zbl 0994.65065
Engelke, Stephan; Kanzow, Christian
2002
Augmented Lagrangian methods for the solution of generalized Nash equilibrium problems. Zbl 1351.65037
Kanzow, Christian; Steck, Daniel
2016
A smoothing-regularization approach to mathematical programs with vanishing constraints. Zbl 1291.90234
Achtziger, Wolfgang; Hoheisel, Tim; Kanzow, Christian
2013
Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. Zbl 1266.90170
Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra
2012
Numerical methods for solution of unconstrained optimization problems. Zbl 0934.65062
Geiger, Carl; Kanzow, Christian
1999
Solving box constrained variational inequalities by using the natural residual with D-gap function globalization. Zbl 0941.90070
Kanzow, Christian; Fukushima, Masao
1998
A direct proof for $$M$$-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints. Zbl 1125.90062
Flegel, Michael L.; Kanzow, Christian
2006
Predictor-corrector smoothing methods for linear programs with a more flexible update of the smoothing parameter. Zbl 1028.90026
Engelke, Stephan; Kanzow, Christian
2002
On unconstrained and constrained stationary points of the implicit Lagrangian. Zbl 0914.90249
Facchinei, F.; Kanzow, C.
1997
Inexact Newton methods for semismooth equations with applications to variational inequality problems. Zbl 0980.90101
Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian
1996
Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces. Zbl 06858743
Kanzow, Christian; Shehu, Yekini
2018
The semismooth Newton method for the solution of quasi-variational inequalities. Zbl 1331.90083
Facchinei, Francisco; Kanzow, Christian; Karl, Sebastian; Sagratella, Simone
2015
The price of inexactness: convergence properties of relaxation methods for mathematical programs with complementarity constraints revisited. Zbl 1344.90058
Kanzow, Christian; Schwartz, Alexandra
2015
QVILIB: A library of quasi-variational inequality test problems. Zbl 1267.65078
Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone
2013
Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Zbl 1188.90258
Kanzow, Christian; Petra, Stefania
2007
A simply constrained optimization reformulation of KKT systems arising from variational inequalities. Zbl 0966.90076
Facchinei, F.; Fischer, A.; Kanzow, C.; Peng, J.-M.
1999
A semismooth Newton method for variational inequalities: The case of box constraints. Zbl 0886.90152
Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian
1997
Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Zbl 1356.90146
Červinka, Michal; Kanzow, Christian; Schwartz, Alexandra
2016
On a semismooth least squares formulation of complementarity problems with gap reduction. Zbl 1097.90062
Kanzow, Christian; Petra, Stefania
2004
Smoothness properties of a regularized gap function for quasi-variational inequalities. Zbl 1330.90114
Harms, Nadja; Kanzow, Christian; Stein, Oliver
2014
Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1065.65070
Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao
2005
An example comparing the standard and safeguarded augmented Lagrangian methods. Zbl 1409.90186
Kanzow, Christian; Steck, Daniel
2017
On the multiplier-penalty-approach for quasi-variational inequalities. Zbl 1354.65141
Kanzow, Christian
2016
Lottery versus all-pay auction contests: a revenue dominance theorem. Zbl 1284.91174
Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra
2014
Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027
Burke, James V.; Hoheisel, Tim; Kanzow, Christian
2013
$$SC^{1}$$ optimization reformulations of the generalized Nash equilibrium problem. Zbl 1154.91356
von Heusinger, Anna; Kanzow, Christian
2008
A continuation method for (strongly) monotone variational inequalities. Zbl 0920.90131
Kanzow, Christian; Jiang, Houyuan
1998
A new approach to continuation methods for complementarity problems with uniform $$P$$-functions. Zbl 0890.90169
Kanzow, Christian
1997
An unconstrained optimization technique for large-scale linearly constrained convex minimization problems. Zbl 0820.90099
Kanzow, C.
1994
Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Zbl 1416.90051
Kanzow, Christian; Steck, Daniel
2018
On a smooth dual gap function for a class of quasi-variational inequalities. Zbl 1304.49018
Harms, Nadja; Hoheisel, Tim; Kanzow, Christian
2014
A hybrid Josephy-Newton method for solving box constrained variational inequality problems via the D-gap function. Zbl 0932.90040
Peng, Jiming; Kanzow, Christian; Fukushima, Masao
1999
Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Zbl 06748151
Kanzow, Christian; Shehu, Yekini
2017
On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032
Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim
2012
Generalized Newton’s method based on graphical derivatives. Zbl 1236.49069
Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H.
2012
An augmented Lagrangian method for optimization problems in Banach spaces. Zbl 1383.49036
Kanzow, Christian; Steck, Daniel; Wachsmuth, Daniel
2018
Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems. Zbl 1263.49026
Borzì, Alfio; Kanzow, Christian
2013
The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions. Zbl 1236.90146
Buchholzer, Hannes; Kanzow, Christian; Knabner, Peter; Kräutle, Serge
2011
Inexact trust-region methods for nonlinear complementarity problems. Zbl 0927.65083
Kanzow, Christian; Zupke, Martin
1999
Improved convergence properties of the Lin-Fukushima-regularization method for mathematical programs with complementarity constraints. Zbl 1230.65067
Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra
2011
On the identification of zero variables in an interior-point framework. Zbl 0999.90044
Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian
2000
The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces. Zbl 1419.91105
Kanzow, C.; Karl, Veronika; Steck, Daniel; Wachsmuth, Daniel
2019
On a reformulation of mathematical programs with cardinality constraints. Zbl 1327.90228
Burdakov, Oleg; Kanzow, Christian; Schwartz, Alexandra
2015
The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces. Zbl 1419.91105
Kanzow, C.; Karl, Veronika; Steck, Daniel; Wachsmuth, Daniel
2019
Quasi-variational inequalities in Banach spaces: theory and augmented Lagrangian methods. Zbl 1430.49005
Kanzow, Christian; Steck, Daniel
2019
Local and global analysis of multiplier methods for constrained optimization in Banach spaces. Zbl 1431.90176
Börgens, Eike; Kanzow, Christian; Steck, Daniel
2019
Regularized Jacobi-type ADMM-methods for a class of separable convex optimization problems in Hilbert spaces. Zbl 1423.90176
Börgens, Eike; Kanzow, Christian
2019
Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces. Zbl 06858743
Kanzow, Christian; Shehu, Yekini
2018
Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Zbl 1416.90051
Kanzow, Christian; Steck, Daniel
2018
An augmented Lagrangian method for optimization problems in Banach spaces. Zbl 1383.49036
Kanzow, Christian; Steck, Daniel; Wachsmuth, Daniel
2018
A distributed regularized Jacobi-type ADMM-method for generalized Nash equilibrium problems in Hilbert spaces. Zbl 1447.90073
Börgens, Eike; Kanzow, Christian
2018
On error bounds and multiplier methods for variational problems in Banach spaces. Zbl 1391.49015
Kanzow, Christian; Steck, Daniel
2018
A nonmonotone trust-region method for generalized Nash equilibrium and related problems with strong convergence properties. Zbl 1390.90515
Galli, Leonardo; Kanzow, Christian; Sciandrone, Marco
2018
Game theory. Theory and methods for solving Nash and generalized Nash equilibrium problems. Zbl 1418.91004
Kanzow, Christian; Schwartz, Alexandra
2018
An example comparing the standard and safeguarded augmented Lagrangian methods. Zbl 1409.90186
Kanzow, Christian; Steck, Daniel
2017
Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Zbl 06748151
Kanzow, Christian; Shehu, Yekini
2017
A generalized proximal-point method for convex optimization problems in Hilbert spaces. Zbl 1383.90043
Kanzow, Christian; Steck, Daniel
2017
Mathematical programs with cardinality constraints: reformulation by complementarity-type conditions and a regularization method. Zbl 1332.90220
Burdakov, Oleg P.; Kanzow, Christian; Schwartz, Alexandra
2016
Augmented Lagrangian methods for the solution of generalized Nash equilibrium problems. Zbl 1351.65037
Kanzow, Christian; Steck, Daniel
2016
Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Zbl 1356.90146
Červinka, Michal; Kanzow, Christian; Schwartz, Alexandra
2016
On the multiplier-penalty-approach for quasi-variational inequalities. Zbl 1354.65141
Kanzow, Christian
2016
On Newton’s method for the Fermat-Weber location problem. Zbl 1346.49042
Görner, Simone; Kanzow, Christian
2016
The semismooth Newton method for the solution of quasi-variational inequalities. Zbl 1331.90083
Facchinei, Francisco; Kanzow, Christian; Karl, Sebastian; Sagratella, Simone
2015
The price of inexactness: convergence properties of relaxation methods for mathematical programs with complementarity constraints revisited. Zbl 1344.90058
Kanzow, Christian; Schwartz, Alexandra
2015
On a reformulation of mathematical programs with cardinality constraints. Zbl 1327.90228
Burdakov, Oleg; Kanzow, Christian; Schwartz, Alexandra
2015
On differentiability properties of player convex generalized Nash equilibrium problems. Zbl 1329.91008
Harms, Nadja; Kanzow, Christian; Stein, Oliver
2015
On a smooth dual gap function for a class of player convex generalized Nash equilibrium problems. Zbl 1326.49052
Harms, Nadja; Hoheisel, Tim; Kanzow, Christian
2015
Solving quasi-variational inequalities via their KKT conditions. Zbl 1293.65100
Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone
2014
Smoothness properties of a regularized gap function for quasi-variational inequalities. Zbl 1330.90114
Harms, Nadja; Kanzow, Christian; Stein, Oliver
2014
Lottery versus all-pay auction contests: a revenue dominance theorem. Zbl 1284.91174
Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra
2014
On a smooth dual gap function for a class of quasi-variational inequalities. Zbl 1304.49018
Harms, Nadja; Hoheisel, Tim; Kanzow, Christian
2014
Convergence properties of the inexact Lin-Fukushima relaxation method for mathematical programs with complementarity constraints. Zbl 1326.90086
Kanzow, Christian; Schwartz, Alexandra
2014
Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Zbl 1262.65065
Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra
2013
A new regularization method for mathematical programs with complementarity constraints with strong convergence properties. Zbl 1282.65069
Kanzow, Christian; Schwartz, Alexandra
2013
Effort maximization in asymmetric contest games with heterogeneous contestants. Zbl 1333.91004
Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra
2013
A smoothing-regularization approach to mathematical programs with vanishing constraints. Zbl 1291.90234
Achtziger, Wolfgang; Hoheisel, Tim; Kanzow, Christian
2013
QVILIB: A library of quasi-variational inequality test problems. Zbl 1267.65078
Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone
2013
Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027
Burke, James V.; Hoheisel, Tim; Kanzow, Christian
2013
Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems. Zbl 1263.49026
Borzì, Alfio; Kanzow, Christian
2013
A globalized Newton method for the computation of normalized Nash equilibria. Zbl 1273.91026
Dreves, Axel; von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao
2013
Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. Zbl 1281.90055
Dreves, Axel; Kanzow, Christian; Stein, Oliver
2012
Newton’s method for computing a normalized equilibrium in the generalized Nash game through fixed point formulation. Zbl 1237.91021
von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao
2012
Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. Zbl 1266.90170
Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra
2012
On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032
Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim
2012
Generalized Newton’s method based on graphical derivatives. Zbl 1236.49069
Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H.
2012
Mathematical programs with vanishing constraints: a new regularization approach with strong convergence properties. Zbl 1251.65089
Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra
2012
Static prediction games for adversarial learning problems. Zbl 1433.68328
Brückner, Michael; Kanzow, Christian; Scheffer, Tobias
2012
Bounds for the extremal eigenvalues of a class of symmetric tridiagonal matrices with applications. Zbl 1236.15044
Buchholzer, Hannes; Kanzow, Christian
2012
On the solution of the KKT conditions of generalized Nash equilibrium problems. Zbl 1230.90176
Dreves, Axel; Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone
2011
Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems. Zbl 1227.90040
Dreves, Axel; Kanzow, Christian
2011
The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions. Zbl 1236.90146
Buchholzer, Hannes; Kanzow, Christian; Knabner, Peter; Kräutle, Serge
2011
Improved convergence properties of the Lin-Fukushima-regularization method for mathematical programs with complementarity constraints. Zbl 1230.65067
Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra
2011
Generalized Nash equilibrium problems. Zbl 1185.91016
Facchinei, Francisco; Kanzow, Christian
2010
Penalty methods for the solution of generalized Nash equilibrium problems. Zbl 1211.90228
Facchinei, Francisco; Kanzow, Christian
2010
Mathematical programs with equilibrium constraints: enhanced Fritz John-conditions, new constraint qualifications, and improved exact penalty results. Zbl 1208.49016
Kanzow, Christian; Schwartz, Alexandra
2010
Exact penalty results for mathematical programs with vanishing constraints. Zbl 1185.90187
Hoheisel, Tim; Kanzow, Christian; Outrata, Jiří V.
2010
On the local convergence of semismooth Newton methods for linear and nonlinear second-order cone programs without strict complementarity. Zbl 1190.90239
Kanzow, Christian; Ferenczi, Izabella; Fukushima, Masao
2009
Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495
von Heusinger, Anna; Kanzow, Christian
2009
On the Abadie and Guignard constraint qualifications for mathematical programmes with vanishing constraints. Zbl 1162.90560
Hoheisel, Tim; Kanzow, Christian
2009
Relaxation methods for generalized Nash equilibrium problems with inexact line search. Zbl 1182.91024
von Heusinger, A.; Kanzow, C.
2009
Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Zbl 1151.90046
Achtziger, Wolfgang; Kanzow, Christian
2008
Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications. Zbl 1141.90572
Hoheisel, Tim; Kanzow, Christian
2008
$$SC^{1}$$ optimization reformulations of the generalized Nash equilibrium problem. Zbl 1154.91356
von Heusinger, Anna; Kanzow, Christian
2008
A fast method for finding the global solution of the regularized structured total least squares problem for image deblurring. Zbl 1156.90429
Beck, Amir; Ben-Tal, Aharon; Kanzow, Christian
2008
Generalized Nash equilibrium problems. Zbl 1211.91162
Facchinei, Francisco; Kanzow, Christian
2007
Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Zbl 1149.90143
Flegel, Michael L.; Kanzow, Christian; Outrata, Jiří V.
2007
First- and second-order optimality conditions for mathematical programs with vanishing constraints. Zbl 1164.90407
Hoheisel, Tim; Kanzow, Christian
2007
An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Zbl 1180.90219
Kanzow, Christian; Klug, Andreas
2007
Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Zbl 1188.90258
Kanzow, Christian; Petra, Stefania
2007
Equivalence of two nondegeneracy conditions for semidefinite programs. Zbl 1155.90011
Flegel, M. L.; Kanzow, C.
2007
On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. Zbl 1151.90552
Kanzow, Christian; Klug, Andreas
2006
A direct proof for $$M$$-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints. Zbl 1125.90062
Flegel, Michael L.; Kanzow, Christian
2006
Abadie-type constraint qualification for mathematical programs with equilibrium constraints. Zbl 1090.90200
Flegel, M. L.; Kanzow, C.
2005
On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Zbl 1147.90397
Flegel, Michael L.; Kanzow, Christian
2005
On M-stationary points for mathematical programs with equilibrium constraints. Zbl 1136.90484
Flegel, Michael L.; Kanzow, Christian
2005
Successive linearization methods for nonlinear semidefinite programs. Zbl 1122.90058
Kanzow, Christian; Nagel, Christian; Kato, Hirokazu; Fukushima, Masao
2005
Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1065.65070
Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao
2005
Quadratic convergence of a nonsmooth Newton-type method for semidefinite programs without strict complementarity. Zbl 1114.90084
Kanzow, Christian; Nagel, Christian
2005
Numerical linear equations. Direct and iterative procedures. Zbl 1055.65039
Kanzow, Christian
2005
Proximal-like methods for convex minimization problems. Zbl 1118.90313
Kanzow, Christian
2005
Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1064.65037
Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao
2004
Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558
Kanzow, Christian
2004
On a semismooth least squares formulation of complementarity problems with gap reduction. Zbl 1097.90062
Kanzow, Christian; Petra, Stefania
2004
Some structural properties of a Newton-type method for semidefinite programs. Zbl 1129.90336
Kanzow, C.; Nagel, C.
2004
Corrigendum: Semidefinite programs: new search directions, smoothing-type methods, and numerical results. Zbl 1057.90041
Kanzow, Christian; Nagel, Christian
2004
On the minimum norm solution of linear programs. Zbl 1043.90046
Kanzow, C.; Qi, H.; Qi, L.
2003
A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints. Zbl 1055.90087
Flegel, Michael L.; Kanzow, Christian
2003
Semidefinite programs: New search directions, smoothing-type methods, and numerical results. Zbl 1029.90052
Kanzow, Christian; Nagel, Christian
2002
Theory and numerics of constrained problems of optimization. Zbl 1003.90044
Geiger, Carl; Kanzow, Christian
2002
Improved smoothing-type methods for the solution of linear programs. Zbl 0994.65065
Engelke, Stephan; Kanzow, Christian
2002
Predictor-corrector smoothing methods for linear programs with a more flexible update of the smoothing parameter. Zbl 1028.90026
Engelke, Stephan; Kanzow, Christian
2002
Strictly feasible equation-based methods for mixed complementarity problems. Zbl 0992.65070
Kanzow, Christian
2001
An active set-type Newton method for constrained nonlinear systems. Zbl 0983.90060
Kanzow, Christian
2001
The semismooth algorithm for large scale complementarity problems. Zbl 1238.90123
Munson, Todd S.; Facchinei, Francisco; Ferris, Michael C.; Fischer, Andreas; Kanzow, Christian
2001
An infeasible interior proximal method for convex programming problems with linear constraints. Zbl 1009.90087
Yamashita, Nobuo; Kanzow, Christian; Morimoto, Tomoyuki; Fukushima, Masao
2001
On the solution of linear programs by Jacobian smoothing methods. Zbl 0996.90053
Engelke, Stephan; Kanzow, Christian
2001
A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062
Chen, Bintong; Chen, Xiaojun; Kanzow, Christian
2000
A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Zbl 0964.90046
De Luca, Tecla; Facchinei, Francisco; Kanzow, Christian
2000
Global optimization techniques for mixed complementarity problems. Zbl 1009.90119
Kanzow, Christian
2000
On the identification of zero variables in an interior-point framework. Zbl 0999.90044
Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian
2000
Jacobian smoothing methods for nonlinear complementarity problems. Zbl 0986.90065
Kanzow, Christian; Pieper, Heiko
1999
Beyond monotonicity in regularization methods for nonlinear complementarity problems. Zbl 0997.90085
Facchinei, Francisco; Kanzow, Christian
1999
A QP-free constrained Newton-type method for variational inequality problems. Zbl 0958.65078
Kanzow, Christian; Qi, Hou-Duo
1999
...and 26 more Documents
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#### Cited by 1,741 Authors

 74 Kanzow, Christian 39 Chen, Jein-Shan 37 Qi, Liqun 32 Ma, Changfeng 30 Fukushima, Masao 25 Pan, Shaohua 22 Huang, Zheng-Hai 19 Jian, Jinbao 19 Xiu, Naihua 18 Facchinei, Francisco 17 Sagratella, Simone 16 Izmailov, Alekseĭ F. 16 Liu, Hongwei 16 Martínez, José Mario 16 Solodov, Mikhail V. 15 Dreves, Axel 15 Hoheisel, Tim 15 Lin, Guihua 15 Ye, Jane J. 14 Zhang, Liwei 13 Andreani, Roberto 13 Fischer, Andreas M. 13 Pang, Jong-Shi 13 Zhang, Liping 12 Du, Shouqiang 11 Aussel, Didier 11 Gao, Yan 11 Mehlitz, Patrick 11 Shehu, Yekini 11 Zhang, Jin 11 Zhu, Detong 10 Li, Donghui 10 Outrata, Jiří V. 10 Schwartz, Alexandra 10 Sun, Defeng 10 Wang, Yiju 10 Yamashita, Nobuo 10 Zhou, Jinchuan 9 Chen, Xiaojun 9 Gfrerer, Helmut 9 Ketabchi, Saeed 9 Li, Xiangli 9 Qi, Houduo 9 Steck, Daniel A. 9 Yu, Zhensheng 9 Zhang, Jianzhong 9 Zhu, Jianguang 8 Dempe, Stephan 8 Pang, Liping 8 Passacantando, Mauro 8 Pu, Dingguo 8 Shen, Chungen 8 Stein, Oliver 8 Tawhid, Mohamed Aly 8 Wachsmuth, Gerd 8 Xu, Hongru 8 Yang, Xiaoqi 7 Allevi, Elisabetta 7 Herrich, Markus 7 Kanno, Yoshihiro 7 Kočvara, Michal 7 Krejić, Nataša 7 Lampariello, Lorenzo 7 Ling, Chen 7 Mishra, Shashi Kant 7 Morini, Benedetta 7 Mosler, Jörn 7 Movahedian, Nooshin 7 Porcelli, Margherita 7 Santos, Sandra Augusta 7 Shanbhag, Uday V. 7 Tang, Jia 7 Wan, Zhongping 7 Xu, Chengxian 7 Zeng, Jinping 6 Bellavia, Stefania 6 Červinka, Michal 6 Cotrina, John 6 Evtushenko, Yuriĭ Gavrilovich 6 Fang, Liang 6 Gu, Weizhe 6 Guo, Lei 6 Han, Jiye 6 He, Guoping 6 Hu, Qingjie 6 Huang, Yakui 6 Kong, Lingchen 6 Li, Jianling 6 Liu, Sanyang 6 Moosaei, Hossein 6 Ni, Tie 6 Nobakhtian, Soghra 6 Pieraccini, Sandra 6 Tong, Xiaojiao 6 Wang, Song 6 Wu, Zhiyou 6 Yang, Yufei 6 Zhu, Xide 5 Bai, Fusheng 5 Börgens, Eike ...and 1,641 more Authors
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#### Cited in 178 Serials

 133 Journal of Optimization Theory and Applications 117 Computational Optimization and Applications 78 Mathematical Programming. Series A. Series B 67 Journal of Global Optimization 64 Applied Mathematics and Computation 63 Journal of Computational and Applied Mathematics 58 Optimization 48 Optimization Methods & Software 36 SIAM Journal on Optimization 32 Optimization Letters 31 Numerical Algorithms 25 Set-Valued and Variational Analysis 24 Operations Research Letters 23 European Journal of Operational Research 22 Mathematical Methods of Operations Research 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Annals of Operations Research 19 Numerical Functional Analysis and Optimization 19 Mathematical Problems in Engineering 18 Computers & Mathematics with Applications 18 Computer Methods in Applied Mechanics and Engineering 18 Journal of Inequalities and Applications 18 Journal of Applied Mathematics and Computing 18 Journal of Industrial and Management Optimization 16 Automatica 15 International Journal of Computer Mathematics 14 Journal of Mathematical Analysis and Applications 13 Applied Numerical Mathematics 12 Computational and Applied Mathematics 10 Acta Mathematicae Applicatae Sinica. English Series 10 Asia-Pacific Journal of Operational Research 10 Abstract and Applied Analysis 8 Applied Mathematical Modelling 8 Optimization and Engineering 8 Nonlinear Analysis. Real World Applications 7 SIAM Journal on Control and Optimization 7 Applications of Mathematics 7 Linear Algebra and its Applications 7 SIAM Journal on Scientific Computing 7 Acta Mathematica Sinica. English Series 6 Mathematics of Computation 6 Calcolo 6 Mathematical and Computer Modelling 6 Numerical Linear Algebra with Applications 6 RAIRO. Operations Research 6 Journal of Applied Mathematics 6 Structural and Multidisciplinary Optimization 6 Networks and Spatial Economics 6 Mathematical Programming Computation 6 Journal of the Operations Research Society of China 5 International Journal for Numerical Methods in Engineering 5 Journal of Scientific Computing 5 Economics Letters 5 Games and Economic Behavior 5 Applied Mathematics. Series B (English Edition) 5 Positivity 5 Computational Geosciences 5 Journal of Fixed Point Theory and Applications 4 Information Sciences 4 Kybernetika 4 Applied Mathematics and Mechanics. (English Edition) 4 Applied Mathematics Letters 4 SIAM Journal on Matrix Analysis and Applications 4 YUJOR. Yugoslav Journal of Operations Research 4 Review of Economic Design 4 Proceedings of the Steklov Institute of Mathematics 4 Science China. Mathematics 4 Journal of Nonlinear and Variational Analysis 3 Applied Mathematics and Optimization 3 Theory and Decision 3 Computers & Operations Research 3 Automation and Remote Control 3 4OR 3 Computational Management Science 3 Algorithms 2 Bulletin of the Australian Mathematical Society 2 International Journal of Solids and Structures 2 Journal of Computational Physics 2 Computing 2 International Journal of Game Theory 2 Mathematics of Operations Research 2 Numerische Mathematik 2 Journal of Information & Optimization Sciences 2 Social Choice and Welfare 2 Science in China. Series A 2 Neural Networks 2 Japan Journal of Industrial and Applied Mathematics 2 Economic Theory 2 Top 2 Journal of Convex Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 The ANZIAM Journal 2 Journal of Systems Science and Complexity 2 Acta Numerica 2 Fixed Point Theory and Applications 2 Frontiers of Mathematics in China 2 Numerical Algebra, Control and Optimization 2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 2 EURO Journal on Computational Optimization 1 Computers and Fluids ...and 78 more Serials
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#### Cited in 38 Fields

 1,155 Operations research, mathematical programming (90-XX) 551 Numerical analysis (65-XX) 334 Calculus of variations and optimal control; optimization (49-XX) 204 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Operator theory (47-XX) 47 Mechanics of deformable solids (74-XX) 30 Computer science (68-XX) 29 Partial differential equations (35-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 28 Systems theory; control (93-XX) 18 Fluid mechanics (76-XX) 12 Biology and other natural sciences (92-XX) 11 Ordinary differential equations (34-XX) 10 Real functions (26-XX) 10 Functional analysis (46-XX) 9 Information and communication theory, circuits (94-XX) 8 Probability theory and stochastic processes (60-XX) 8 Statistics (62-XX) 3 Combinatorics (05-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)