Edit Profile (opens in new tab) Kanzow, Christian Co-Author Distance Author ID: kanzow.christian Published as: Kanzow, Christian; Kanzow, C. Documents Indexed: 148 Publications since 1994, including 4 Books and 4 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 73 Co-Authors with 136 Joint Publications 1,773 Co-Co-Authors all top 5 Co-Authors 14 single-authored 19 Facchinei, Francisco 16 Schwartz, Alexandra 15 Hoheisel, Tim 13 Fukushima, Masao 13 Steck, Daniel Daniel 8 Fischer, Andreas 7 Flegel, Michael L. 7 Mehlitz, Patrick 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 Jia, Xiaoxi 3 Lechner, Theresa 3 Stein, Oliver 3 Wachsmuth, Gerd 2 Buchholzer, Hannes 2 Burdakov, Oleg P. 2 de Luca, Tecla 2 Ferris, Michael C. 2 Franke, Jörg 2 Karl, Veronika 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 Raharja, Andreas B. 2 Shehu, Yekini 2 Wachsmuth, Daniel 2 Weiss, Felix 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 De Marchi, Alberto 1 Ferenczi, Izabella 1 Galli, Leonardo 1 Görner, Simone 1 Herzog, Roland 1 Hintermüller, Michael 1 Jiang, Houyuan 1 Karl, Sebastian 1 Kato, Hirokazu 1 Kleinmichel, Helmut 1 Knabner, Peter 1 Krämer, Fabius 1 Kräutle, Serge 1 Lapucci, Matteo 1 Neder, Tanja 1 Pieper, Heiko 1 Qi, Liqun 1 Scheffer, Tobias 1 Schwarz, Alexandra 1 Sciandrone, Marco 1 Ulbrich, Michael 1 Ulbrich, Stefan 1 Zupke, Martin all top 5 Serials 21 Computational Optimization and Applications 20 SIAM Journal on Optimization 17 Mathematical Programming. Series A. Series B 14 Journal of Optimization Theory and Applications 8 Optimization Methods & Software 6 Optimization 5 SIAM Journal on Control and Optimization 4 Journal of Global Optimization 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 Operations Research Letters 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 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 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 ISNM. International Series of Numerical Mathematics 1 Journal of Fixed Point Theory and Applications 1 Set-Valued and Variational Analysis 1 Mathematical Programming Computation 1 Numerical Algebra, Control and Optimization 1 Mathematik Kompakt all top 5 Fields 129 Operations research, mathematical programming (90-XX) 61 Numerical analysis (65-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 138 Publications have been cited 3,766 times in 1,958 Documents Cited by ▼ Year ▼ Generalized Nash equilibrium problems. Zbl 1185.91016 Facchinei, Francisco; Kanzow, Christian 177 2010 Some noninterior continuation methods for linear complementarity problems. Zbl 0868.90123 Kanzow, Christian 158 1996 A semismooth equation approach to the solution of nonlinear complementarity problems. Zbl 0874.90185 de Luca, Tecla; Facchinei, Francisco; Kanzow, Christian 150 1996 Generalized Nash equilibrium problems. Zbl 1211.91162 Facchinei, Francisco; Kanzow, Christian 134 2007 On the accurate identification of active constraints. Zbl 0960.90080 Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 96 1998 On the resolution of monotone complementarity problems. Zbl 0859.90113 Geiger, Carl; Kanzow, Christian 94 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 92 2004 Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Zbl 1151.90046 Achtziger, Wolfgang; Kanzow, Christian 80 2008 Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Zbl 1262.65065 Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 78 2013 A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems. Zbl 0871.90096 Facchinei, Francisco; Kanzow, Christian 73 1997 A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062 Chen, Bintong; Chen, Xiaojun; Kanzow, Christian 71 2000 Penalty methods for the solution of generalized Nash equilibrium problems. Zbl 1211.90228 Facchinei, Francisco; Kanzow, Christian 68 2010 Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495 von Heusinger, Anna; Kanzow, Christian 62 2009 Abadie-type constraint qualification for mathematical programs with equilibrium constraints. Zbl 1090.90200 Flegel, M. L.; Kanzow, C. 61 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. 58 2007 On the Abadie and Guignard constraint qualifications for mathematical programmes with vanishing constraints. Zbl 1162.90560 Hoheisel, Tim; Kanzow, Christian 56 2009 A new class of semismooth Newton-type methods for nonlinear complementarity problems. Zbl 0913.90250 Kanzow, Christian; Kleinmichel, Helmut 56 1998 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 53 2009 On the solution of the KKT conditions of generalized Nash equilibrium problems. Zbl 1230.90176 Dreves, Axel; Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 51 2011 Mathematical programs with cardinality constraints: reformulation by complementarity-type conditions and a regularization method. Zbl 1332.90220 Burdakov, Oleg P.; Kanzow, Christian; Schwartz, Alexandra 50 2016 Solving quasi-variational inequalities via their KKT conditions. Zbl 1293.65100 Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 48 2014 Jacobian smoothing methods for nonlinear complementarity problems. Zbl 0986.90065 Kanzow, Christian; Pieper, Heiko 47 1999 Nonlinear complementarity as unconstrained optimization. Zbl 0845.90120 Kanzow, C. 46 1996 On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Zbl 1147.90397 Flegel, Michael L.; Kanzow, Christian 46 2005 Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications. Zbl 1141.90572 Hoheisel, Tim; Kanzow, Christian 44 2008 Mathematical programs with equilibrium constraints: enhanced Fritz John-conditions, new constraint qualifications, and improved exact penalty results. Zbl 1208.49016 Kanzow, Christian; Schwartz, Alexandra 44 2010 New NCP-functions and their properties. Zbl 0886.90146 Kanzow, C.; Yamashita, N.; Fukushima, M. 42 1997 A QP-free constrained Newton-type method for variational inequality problems. Zbl 0958.65078 Kanzow, Christian; Qi, Hou-Duo 41 1999 Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558 Kanzow, Christian 40 2004 First- and second-order optimality conditions for mathematical programs with vanishing constraints. Zbl 1164.90407 Hoheisel, Tim; Kanzow, Christian 39 2007 Beyond monotonicity in regularization methods for nonlinear complementarity problems. Zbl 0997.90085 Facchinei, Francisco; Kanzow, Christian 38 1999 On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. Zbl 1151.90552 Kanzow, Christian; Klug, Andreas 37 2006 A new regularization method for mathematical programs with complementarity constraints with strong convergence properties. Zbl 1282.65069 Kanzow, Christian; Schwartz, Alexandra 37 2013 A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Zbl 0964.90046 De Luca, Tecla; Facchinei, Francisco; Kanzow, Christian 36 2000 Semidefinite programs: New search directions, smoothing-type methods, and numerical results. Zbl 1029.90052 Kanzow, Christian; Nagel, Christian 36 2002 On M-stationary points for mathematical programs with equilibrium constraints. Zbl 1136.90484 Flegel, Michael L.; Kanzow, Christian 34 2005 Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces. Zbl 1491.47065 Kanzow, Christian; Shehu, Yekini 34 2018 Theory and numerics of constrained problems of optimization. (Theorie und Numerik restringierter Optimierungsaufgaben.) Zbl 1003.90044 Geiger, Carl; Kanzow, Christian 32 2002 Global convergence properties of some iterative methods for linear complementarity problems. Zbl 0847.90132 Kanzow, Christian 31 1996 Relaxation methods for generalized Nash equilibrium problems with inexact line search. Zbl 1182.91024 von Heusinger, A.; Kanzow, C. 31 2009 Equivalence of the generalized complementarity problem to differentiable unconstrained minimization. Zbl 0866.90124 Kanzow, C.; Fukushima, M. 31 1996 An active set-type Newton method for constrained nonlinear systems. Zbl 0983.90060 Kanzow, Christian 30 2001 Successive linearization methods for nonlinear semidefinite programs. Zbl 1122.90058 Kanzow, Christian; Nagel, Christian; Kato, Hirokazu; Fukushima, Masao 30 2005 Effort maximization in asymmetric contest games with heterogeneous contestants. Zbl 1333.91004 Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 30 2013 Exact penalty results for mathematical programs with vanishing constraints. Zbl 1185.90187 Hoheisel, Tim; Kanzow, Christian; Outrata, Jiří V. 29 2010 On the minimum norm solution of linear programs. Zbl 1043.90046 Kanzow, C.; Qi, H.; Qi, L. 29 2003 Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. Zbl 1281.90055 Dreves, Axel; Kanzow, Christian; Stein, Oliver 29 2012 Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Zbl 1356.90146 Červinka, Michal; Kanzow, Christian; Schwartz, Alexandra 28 2016 Strictly feasible equation-based methods for mixed complementarity problems. Zbl 0992.65070 Kanzow, Christian 26 2001 The semismooth algorithm for large scale complementarity problems. Zbl 1238.90123 Munson, Todd S.; Facchinei, Francisco; Ferris, Michael C.; Fischer, Andreas; Kanzow, Christian 26 2001 Global optimization techniques for mixed complementarity problems. Zbl 1009.90119 Kanzow, Christian 25 2000 Augmented Lagrangian methods for the solution of generalized Nash equilibrium problems. Zbl 1351.65037 Kanzow, Christian; Steck, Daniel 25 2016 A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints. Zbl 1055.90087 Flegel, Michael L.; Kanzow, Christian 24 2003 An example comparing the standard and safeguarded augmented Lagrangian methods. Zbl 1409.90186 Kanzow, Christian; Steck, Daniel 24 2017 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 23 2012 Feasible descent algorithms for mixed complementarity problems. Zbl 0946.90094 Ferris, Michael C.; Kanzow, Christian; Munson, Todd S. 23 1999 The semismooth Newton method for the solution of quasi-variational inequalities. Zbl 1331.90083 Facchinei, Francisco; Kanzow, Christian; Karl, Sebastian; Sagratella, Simone 23 2015 Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Zbl 06748151 Kanzow, Christian; Shehu, Yekini 23 2017 The price of inexactness: convergence properties of relaxation methods for mathematical programs with complementarity constraints revisited. Zbl 1344.90058 Kanzow, Christian; Schwartz, Alexandra 23 2015 An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Zbl 1180.90219 Kanzow, Christian; Klug, Andreas 22 2007 Numerical methods for solution of unconstrained optimization problems. (Numerische Verfahren zur Lösung unrestringierter Optimierungsaufgaben.) Zbl 0934.65062 Geiger, Carl; Kanzow, Christian 22 1999 Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. Zbl 1266.90170 Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 22 2012 Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities. Zbl 0920.90134 Kanzow, Christian; Fukushima, Masao 21 1998 On finite termination of an iterative method for linear complementarity problems. Zbl 0855.90125 Fischer, Andreas; Kanzow, Christian 21 1996 Regularity properties of a semismooth reformulation of variational inequalities. Zbl 0913.90249 Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 20 1998 Inexact Newton methods for semismooth equations with applications to variational inequality problems. Zbl 0980.90101 Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 20 1996 A smoothing-regularization approach to mathematical programs with vanishing constraints. Zbl 1291.90234 Achtziger, Wolfgang; Hoheisel, Tim; Kanzow, Christian 20 2013 A direct proof for \(M\)-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints. Zbl 1125.90062 Flegel, Michael L.; Kanzow, Christian 19 2006 An augmented Lagrangian method for optimization problems in Banach spaces. Zbl 1383.49036 Kanzow, Christian; Steck, Daniel; Wachsmuth, Daniel 19 2018 Improved smoothing-type methods for the solution of linear programs. Zbl 0994.65065 Engelke, Stephan; Kanzow, Christian 19 2002 QVILIB: A library of quasi-variational inequality test problems. Zbl 1267.65078 Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 19 2013 Solving box constrained variational inequalities by using the natural residual with D-gap function globalization. Zbl 0941.90070 Kanzow, Christian; Fukushima, Masao 18 1998 Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems. Zbl 1227.90040 Dreves, Axel; Kanzow, Christian 18 2011 Predictor-corrector smoothing methods for linear programs with a more flexible update of the smoothing parameter. Zbl 1028.90026 Engelke, Stephan; Kanzow, Christian 16 2002 A simply constrained optimization reformulation of KKT systems arising from variational inequalities. Zbl 0966.90076 Facchinei, F.; Fischer, A.; Kanzow, C.; Peng, J.-M. 16 1999 On unconstrained and constrained stationary points of the implicit Lagrangian. Zbl 0914.90249 Facchinei, F.; Kanzow, C. 15 1997 A semismooth Newton method for variational inequalities: The case of box constraints. Zbl 0886.90152 Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 15 1997 Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Zbl 1188.90258 Kanzow, Christian; Petra, Stefania 15 2007 Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1065.65070 Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao 14 2005 Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027 Burke, James V.; Hoheisel, Tim; Kanzow, Christian 14 2013 On a semismooth least squares formulation of complementarity problems with gap reduction. Zbl 1097.90062 Kanzow, Christian; Petra, Stefania 13 2004 Lottery versus all-pay auction contests: a revenue dominance theorem. Zbl 1284.91174 Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 13 2014 On the multiplier-penalty-approach for quasi-variational inequalities. Zbl 1354.65141 Kanzow, Christian 12 2016 The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces. Zbl 1419.91105 Kanzow, C.; Karl, Veronika; Steck, Daniel; Wachsmuth, Daniel 12 2019 Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Zbl 1416.90051 Kanzow, Christian; Steck, Daniel 11 2018 \(SC^{1}\) optimization reformulations of the generalized Nash equilibrium problem. Zbl 1154.91356 von Heusinger, Anna; Kanzow, Christian 11 2008 Smoothness properties of a regularized gap function for quasi-variational inequalities. Zbl 1330.90114 Harms, Nadja; Kanzow, Christian; Stein, Oliver 11 2014 New constraint qualifications for optimization problems in Banach spaces based on asymptotic KKT conditions. Zbl 1453.90182 Börgens, Eike; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd 11 2020 Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems. Zbl 1263.49026 Borzì, Alfio; Kanzow, Christian 11 2013 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 10 1999 Generalized Newton’s method based on graphical derivatives. Zbl 1236.49069 Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H. 10 2012 A new approach to continuation methods for complementarity problems with uniform \(P\)-functions. Zbl 0890.90169 Kanzow, Christian 10 1997 A continuation method for (strongly) monotone variational inequalities. Zbl 0920.90131 Kanzow, Christian; Jiang, Houyuan 10 1998 An unconstrained optimization technique for large-scale linearly constrained convex minimization problems. Zbl 0820.90099 Kanzow, C. 10 1994 Local and global analysis of multiplier methods for constrained optimization in Banach spaces. Zbl 1431.90176 Börgens, Eike; Kanzow, Christian; Steck, Daniel 10 2019 On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032 Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim 10 2012 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 9 2011 On a smooth dual gap function for a class of quasi-variational inequalities. Zbl 1304.49018 Harms, Nadja; Hoheisel, Tim; Kanzow, Christian 9 2014 Quasi-variational inequalities in Banach spaces: theory and augmented Lagrangian methods. Zbl 1430.49005 Kanzow, Christian; Steck, Daniel 9 2019 Sequential optimality conditions for cardinality-constrained optimization problems with applications. Zbl 1482.90211 Kanzow, Christian; Raharja, Andreas B.; Schwartz, Alexandra 9 2021 An augmented Lagrangian method for optimization problems with structured geometric constraints. Zbl 1518.90060 Jia, Xiaoxi; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd 6 2023 Constrained composite optimization and augmented Lagrangian methods. Zbl 1522.90197 De Marchi, Alberto; Jia, Xiaoxi; Kanzow, Christian; Mehlitz, Patrick 3 2023 Convergence properties of monotone and nonmonotone proximal gradient methods revisited. Zbl 1506.90246 Kanzow, Christian; Mehlitz, Patrick 3 2022 Safeguarded augmented Lagrangian methods in Banach spaces. Zbl 1507.90189 Kanzow, Christian; Karl, Veronika; Steck, Daniel Daniel; Wachsmuth 1 2022 Sequential optimality conditions for cardinality-constrained optimization problems with applications. Zbl 1482.90211 Kanzow, Christian; Raharja, Andreas B.; Schwartz, Alexandra 9 2021 Relaxation schemes for mathematical programmes with switching constraints. Zbl 1489.65086 Kanzow, Christian; Mehlitz, Patrick; Steck, Daniel 8 2021 Globalized inexact proximal Newton-type methods for nonconvex composite functions. Zbl 1469.90111 Kanzow, Christian; Lechner, Theresa 8 2021 An augmented Lagrangian method for cardinality-constrained optimization problems. Zbl 1475.90103 Kanzow, Christian; Raharja, Andreas B.; Schwartz, Alexandra 5 2021 ADMM-type methods for generalized Nash equilibrium problems in Hilbert spaces. Zbl 1456.49025 Börgens, Eike; Kanzow, Christian 4 2021 New constraint qualifications for optimization problems in Banach spaces based on asymptotic KKT conditions. Zbl 1453.90182 Börgens, Eike; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd 11 2020 The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces. Zbl 1419.91105 Kanzow, C.; Karl, Veronika; Steck, Daniel; Wachsmuth, Daniel 12 2019 Local and global analysis of multiplier methods for constrained optimization in Banach spaces. Zbl 1431.90176 Börgens, Eike; Kanzow, Christian; Steck, Daniel 10 2019 Quasi-variational inequalities in Banach spaces: theory and augmented Lagrangian methods. Zbl 1430.49005 Kanzow, Christian; Steck, Daniel 9 2019 Regularized Jacobi-type ADMM-methods for a class of separable convex optimization problems in Hilbert spaces. Zbl 1423.90176 Börgens, Eike; Kanzow, Christian 9 2019 Improved local convergence results for augmented Lagrangian methods in \(C^2\)-cone reducible constrained optimization. Zbl 1461.65164 Kanzow, Christian; Steck, Daniel 7 2019 Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces. Zbl 1491.47065 Kanzow, Christian; Shehu, Yekini 34 2018 An augmented Lagrangian method for optimization problems in Banach spaces. Zbl 1383.49036 Kanzow, Christian; Steck, Daniel; Wachsmuth, Daniel 19 2018 Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Zbl 1416.90051 Kanzow, Christian; Steck, Daniel 11 2018 On error bounds and multiplier methods for variational problems in Banach spaces. Zbl 1391.49015 Kanzow, Christian; Steck, Daniel 8 2018 A distributed regularized Jacobi-type ADMM-method for generalized Nash equilibrium problems in Hilbert spaces. Zbl 1447.90073 Börgens, Eike; Kanzow, Christian 6 2018 Game theory. Theory and methods for solving Nash and generalized Nash equilibrium problems. (Spieltheorie. Theorie und Verfahren zur Lösung von Nash- und verallgemeinerten Nash-Gleichgewichtsproblemen.) Zbl 1418.91004 Kanzow, Christian; Schwartz, Alexandra 3 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 2 2018 An example comparing the standard and safeguarded augmented Lagrangian methods. Zbl 1409.90186 Kanzow, Christian; Steck, Daniel 24 2017 Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Zbl 06748151 Kanzow, Christian; Shehu, Yekini 23 2017 A generalized proximal-point method for convex optimization problems in Hilbert spaces. Zbl 1383.90043 Kanzow, Christian; Steck, Daniel 3 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 50 2016 Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Zbl 1356.90146 Červinka, Michal; Kanzow, Christian; Schwartz, Alexandra 28 2016 Augmented Lagrangian methods for the solution of generalized Nash equilibrium problems. Zbl 1351.65037 Kanzow, Christian; Steck, Daniel 25 2016 On the multiplier-penalty-approach for quasi-variational inequalities. Zbl 1354.65141 Kanzow, Christian 12 2016 On Newton’s method for the Fermat-Weber location problem. Zbl 1346.49042 Görner, Simone; Kanzow, Christian 4 2016 The semismooth Newton method for the solution of quasi-variational inequalities. Zbl 1331.90083 Facchinei, Francisco; Kanzow, Christian; Karl, Sebastian; Sagratella, Simone 23 2015 The price of inexactness: convergence properties of relaxation methods for mathematical programs with complementarity constraints revisited. Zbl 1344.90058 Kanzow, Christian; Schwartz, Alexandra 23 2015 On a reformulation of mathematical programs with cardinality constraints. Zbl 1327.90228 Burdakov, Oleg; Kanzow, Christian; Schwartz, Alexandra 7 2015 On differentiability properties of player convex generalized Nash equilibrium problems. Zbl 1329.91008 Harms, Nadja; Kanzow, Christian; Stein, Oliver 6 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 2 2015 Solving quasi-variational inequalities via their KKT conditions. Zbl 1293.65100 Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 48 2014 Lottery versus all-pay auction contests: a revenue dominance theorem. Zbl 1284.91174 Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 13 2014 Smoothness properties of a regularized gap function for quasi-variational inequalities. Zbl 1330.90114 Harms, Nadja; Kanzow, Christian; Stein, Oliver 11 2014 On a smooth dual gap function for a class of quasi-variational inequalities. Zbl 1304.49018 Harms, Nadja; Hoheisel, Tim; Kanzow, Christian 9 2014 Convergence properties of the inexact Lin-Fukushima relaxation method for mathematical programs with complementarity constraints. Zbl 1326.90086 Kanzow, Christian; Schwartz, Alexandra 5 2014 Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Zbl 1262.65065 Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 78 2013 A new regularization method for mathematical programs with complementarity constraints with strong convergence properties. Zbl 1282.65069 Kanzow, Christian; Schwartz, Alexandra 37 2013 Effort maximization in asymmetric contest games with heterogeneous contestants. Zbl 1333.91004 Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 30 2013 A smoothing-regularization approach to mathematical programs with vanishing constraints. Zbl 1291.90234 Achtziger, Wolfgang; Hoheisel, Tim; Kanzow, Christian 20 2013 QVILIB: A library of quasi-variational inequality test problems. Zbl 1267.65078 Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 19 2013 Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027 Burke, James V.; Hoheisel, Tim; Kanzow, Christian 14 2013 Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems. Zbl 1263.49026 Borzì, Alfio; Kanzow, Christian 11 2013 A globalized Newton method for the computation of normalized Nash equilibria. Zbl 1273.91026 Dreves, Axel; von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao 7 2013 Erratum to “Generalized Newton’s method based on graphical derivatives”. Zbl 1281.49026 Hoheisel, T.; Kanzow, C.; Mordukhovich, B. S.; Phan, H. 1 2013 Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. Zbl 1281.90055 Dreves, Axel; Kanzow, Christian; Stein, Oliver 29 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 23 2012 Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. Zbl 1266.90170 Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 22 2012 Generalized Newton’s method based on graphical derivatives. Zbl 1236.49069 Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H. 10 2012 On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032 Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim 10 2012 Mathematical programs with vanishing constraints: a new regularization approach with strong convergence properties. Zbl 1251.65089 Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 7 2012 Static prediction games for adversarial learning problems. Zbl 1433.68328 Brückner, Michael; Kanzow, Christian; Scheffer, Tobias 6 2012 Bounds for the extremal eigenvalues of a class of symmetric tridiagonal matrices with applications. Zbl 1236.15044 Buchholzer, Hannes; Kanzow, Christian 1 2012 On the solution of the KKT conditions of generalized Nash equilibrium problems. Zbl 1230.90176 Dreves, Axel; Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 51 2011 Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems. Zbl 1227.90040 Dreves, Axel; Kanzow, Christian 18 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 9 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 7 2011 Generalized Nash equilibrium problems. Zbl 1185.91016 Facchinei, Francisco; Kanzow, Christian 177 2010 Penalty methods for the solution of generalized Nash equilibrium problems. Zbl 1211.90228 Facchinei, Francisco; Kanzow, Christian 68 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 44 2010 Exact penalty results for mathematical programs with vanishing constraints. Zbl 1185.90187 Hoheisel, Tim; Kanzow, Christian; Outrata, Jiří V. 29 2010 Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495 von Heusinger, Anna; Kanzow, Christian 62 2009 On the Abadie and Guignard constraint qualifications for mathematical programmes with vanishing constraints. Zbl 1162.90560 Hoheisel, Tim; Kanzow, Christian 56 2009 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 53 2009 Relaxation methods for generalized Nash equilibrium problems with inexact line search. Zbl 1182.91024 von Heusinger, A.; Kanzow, C. 31 2009 Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Zbl 1151.90046 Achtziger, Wolfgang; Kanzow, Christian 80 2008 Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications. Zbl 1141.90572 Hoheisel, Tim; Kanzow, Christian 44 2008 \(SC^{1}\) optimization reformulations of the generalized Nash equilibrium problem. Zbl 1154.91356 von Heusinger, Anna; Kanzow, Christian 11 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 3 2008 Generalized Nash equilibrium problems. Zbl 1211.91162 Facchinei, Francisco; Kanzow, Christian 134 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. 58 2007 First- and second-order optimality conditions for mathematical programs with vanishing constraints. Zbl 1164.90407 Hoheisel, Tim; Kanzow, Christian 39 2007 An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Zbl 1180.90219 Kanzow, Christian; Klug, Andreas 22 2007 Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Zbl 1188.90258 Kanzow, Christian; Petra, Stefania 15 2007 Equivalence of two nondegeneracy conditions for semidefinite programs. Zbl 1155.90011 Flegel, M. L.; Kanzow, C. 2 2007 On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. Zbl 1151.90552 Kanzow, Christian; Klug, Andreas 37 2006 A direct proof for \(M\)-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints. Zbl 1125.90062 Flegel, Michael L.; Kanzow, Christian 19 2006 Abadie-type constraint qualification for mathematical programs with equilibrium constraints. Zbl 1090.90200 Flegel, M. L.; Kanzow, C. 61 2005 On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Zbl 1147.90397 Flegel, Michael L.; Kanzow, Christian 46 2005 On M-stationary points for mathematical programs with equilibrium constraints. Zbl 1136.90484 Flegel, Michael L.; Kanzow, Christian 34 2005 Successive linearization methods for nonlinear semidefinite programs. Zbl 1122.90058 Kanzow, Christian; Nagel, Christian; Kato, Hirokazu; Fukushima, Masao 30 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 14 2005 Quadratic convergence of a nonsmooth Newton-type method for semidefinite programs without strict complementarity. Zbl 1114.90084 Kanzow, Christian; Nagel, Christian 5 2005 Numerical linear equations. Direct and iterative procedures. (Numerik linearer Gleichungssysteme. Direkte und iterative Verfahren.) Zbl 1055.65039 Kanzow, Christian 2 2005 Proximal-like methods for convex minimization problems. Zbl 1118.90313 Kanzow, Christian 2 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 92 2004 Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558 Kanzow, Christian 40 2004 On a semismooth least squares formulation of complementarity problems with gap reduction. Zbl 1097.90062 Kanzow, Christian; Petra, Stefania 13 2004 Some structural properties of a Newton-type method for semidefinite programs. Zbl 1129.90336 Kanzow, C.; Nagel, C. 3 2004 Corrigendum: Semidefinite programs: new search directions, smoothing-type methods, and numerical results. Zbl 1057.90041 Kanzow, Christian; Nagel, Christian 1 2004 On the minimum norm solution of linear programs. Zbl 1043.90046 Kanzow, C.; Qi, H.; Qi, L. 29 2003 A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints. Zbl 1055.90087 Flegel, Michael L.; Kanzow, Christian 24 2003 Semidefinite programs: New search directions, smoothing-type methods, and numerical results. Zbl 1029.90052 Kanzow, Christian; Nagel, Christian 36 2002 Theory and numerics of constrained problems of optimization. (Theorie und Numerik restringierter Optimierungsaufgaben.) Zbl 1003.90044 Geiger, Carl; Kanzow, Christian 32 2002 Improved smoothing-type methods for the solution of linear programs. Zbl 0994.65065 Engelke, Stephan; Kanzow, Christian 19 2002 Predictor-corrector smoothing methods for linear programs with a more flexible update of the smoothing parameter. Zbl 1028.90026 Engelke, Stephan; Kanzow, Christian 16 2002 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,338 Authors 86 Kanzow, Christian 41 Chen, Jein-Shan 37 Qi, Liqun 32 Ma, Changfeng 31 Fukushima, Masao 27 Pan, Shaohua 24 Huang, Zheng-Hai 24 Mehlitz, Patrick 24 Xiu, Naihua 23 Jian, Jinbao 23 Solodov, Mikhail V. 22 Sagratella, Simone 22 Shehu, Yekini 20 Fischer, Andreas 20 Izmailov, Alekseĭ F. 20 Ye, Jane J. 19 Andreani, Roberto 18 Facchinei, Francisco 18 Hoheisel, Tim 17 Lin, Guihua 17 Martínez, José Mario 16 Du, Shouqiang 16 Liu, Hongwei 15 Aussel, Didier 15 Dreves, Axel 15 Pang, Jong-Shi 15 Zhang, Liwei 14 Gfrerer, Helmut 14 Schwartz, Alexandra 14 Stein, Oliver 14 Wachsmuth, Gerd 14 Zhou, Jinchuan 13 Mishra, Shashi Kant 13 Outrata, Jiří V. 13 Qi, Houduo 13 Zhang, Liping 12 Haeser, Gabriel 12 Hintermüller, Michael 12 Lampariello, Lorenzo 12 Li, Donghui 12 Wang, Yiju 12 Zhang, Jin 12 Zhu, Detong 11 Gao, Yan 11 Passacantando, Mauro 11 Shanbhag, Uday V. 11 Yamashita, Nobuo 11 Yu, Zhensheng 10 Chen, Xiaojun 10 Dempe, Stephan 10 Jolaoso, Lateef Olakunle O. 10 Steck, Daniel Daniel 10 Sun, Defeng 9 Cotrina, John 9 Ketabchi, Saeed 9 Li, Xiangli 9 Mosler, Jörn 9 Movahedian, Nooshin 9 Pang, Liping 9 Shen, Chungen 9 Wang, Song 9 Xu, Hongru 9 Yang, Haijian 9 Yang, Xiaoqi 9 Zhang, Jianzhong 9 Zhu, Jianguang 9 Zhu, Xide 8 Allevi, Elisabetta 8 Grammatico, Sergio 8 Iyiola, Olaniyi Samuel 8 Kočvara, Michal 8 Konnov, Igor V. 8 Krejić, Nataša 8 Ling, Chen 8 Pu, Dingguo 8 Santos, Sandra Augusta 8 Shikhman, Vladimir 8 Tang, Jingyong 8 Tawhid, Mohamed Aly 8 Wan, Zhongping 8 Waziri, Mohammed Yusuf 8 Zemkoho, Alain B. 7 Červinka, Michal 7 Chen, Yu 7 Evtushenko, Yuriĭ Gavrilovich 7 Han, Deren 7 Herrich, Markus 7 Huang, Yakui 7 Kanno, Yoshihiro 7 Kirches, Christian 7 Knabner, Peter 7 Li, Jianling 7 Li, Qingna 7 Liu, Sanyang 7 Moosaei, Hossein 7 Morini, Benedetta 7 Ni, Tie 7 Nobakhtian, Soghra 7 Noor, Muhammad Aslam 7 Porcelli, Margherita ...and 2,238 more Authors all top 5 Cited in 237 Serials 161 Journal of Optimization Theory and Applications 151 Computational Optimization and Applications 88 Mathematical Programming. 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