Edit Profile (opens in new tab) Kanzow, Christian Compute Distance To: Compute Author ID: kanzow.christian Published as: Kanzow, Christian; Kanzow, C. Documents Indexed: 134 Publications since 1994, including 4 Books 1 Contribution as Editor Co-Authors: 66 Co-Authors with 122 Joint Publications 1,505 Co-Co-Authors all top 5 Co-Authors 13 single-authored 19 Facchinei, Francisco 16 Schwartz, Alexandra 15 Hoheisel, Tim 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 Raharja, Andreas B. 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 Herzog, Roland 1 Hintermüller, Michael 1 Jiang, Houyuan 1 Karl, Sebastian 1 Karl, Veronika 1 Kato, Hirokazu 1 Kleinmichel, Helmut 1 Knabner, Peter 1 Kräutle, Serge 1 Lechner, Theresa 1 Mehlitz, Patrick 1 Pieper, Heiko 1 Qi, Liqun 1 Scheffer, Tobias 1 Sciandrone, Marco 1 Ulbrich, Michael 1 Ulbrich, Stefan 1 Wachsmuth, Gerd 1 Zupke, Martin all top 5 Serials 19 SIAM Journal on Optimization 19 Computational Optimization and Applications 15 Mathematical Programming. Series A. Series B 13 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 ISNM. International Series of Numerical Mathematics 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 117 Operations research, mathematical programming (90-XX) 54 Numerical analysis (65-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Partial differential equations (35-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 General and overarching topics; collections (00-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 132 Publications have been cited 3,144 times in 1,640 Documents Cited by ▼ Year ▼ Some noninterior continuation methods for linear complementarity problems. Zbl 0868.90123Kanzow, Christian 147 1996 Generalized Nash equilibrium problems. Zbl 1185.91016Facchinei, Francisco; Kanzow, Christian 135 2010 A semismooth equation approach to the solution of nonlinear complementarity problems. Zbl 0874.90185de Luca, Tecla; Facchinei, Francisco; Kanzow, Christian 134 1996 Generalized Nash equilibrium problems. Zbl 1211.91162Facchinei, Francisco; Kanzow, Christian 111 2007 On the accurate identification of active constraints. Zbl 0960.90080Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 89 1998 On the resolution of monotone complementarity problems. Zbl 0859.90113Geiger, Carl; Kanzow, Christian 85 1996 Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1064.65037Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao 79 2004 A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems. Zbl 0871.90096Facchinei, Francisco; Kanzow, Christian 65 1997 A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062Chen, Bintong; Chen, Xiaojun; Kanzow, Christian 61 2000 Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Zbl 1262.65065Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 60 2013 Penalty methods for the solution of generalized Nash equilibrium problems. Zbl 1211.90228Facchinei, Francisco; Kanzow, Christian 58 2010 Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Zbl 1151.90046Achtziger, Wolfgang; Kanzow, Christian 57 2008 Abadie-type constraint qualification for mathematical programs with equilibrium constraints. Zbl 1090.90200Flegel, M. L.; Kanzow, C. 53 2005 A new class of semismooth Newton-type methods for nonlinear complementarity problems. Zbl 0913.90250Kanzow, Christian; Kleinmichel, Helmut 50 1998 Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495von Heusinger, Anna; Kanzow, Christian 50 2009 On the local convergence of semismooth Newton methods for linear and nonlinear second-order cone programs without strict complementarity. Zbl 1190.90239Kanzow, Christian; Ferenczi, Izabella; Fukushima, Masao 49 2009 Jacobian smoothing methods for nonlinear complementarity problems. Zbl 0986.90065Kanzow, Christian; Pieper, Heiko 45 1999 Nonlinear complementarity as unconstrained optimization. Zbl 0845.90120Kanzow, C. 45 1996 Solving quasi-variational inequalities via their KKT conditions. Zbl 1293.65100Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 44 2014 Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Zbl 1149.90143Flegel, Michael L.; Kanzow, Christian; Outrata, Jiří V. 43 2007 On the solution of the KKT conditions of generalized Nash equilibrium problems. Zbl 1230.90176Dreves, Axel; Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 43 2011 On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Zbl 1147.90397Flegel, Michael L.; Kanzow, Christian 41 2005 New NCP-functions and their properties. Zbl 0886.90146Kanzow, C.; Yamashita, N.; Fukushima, M. 39 1997 Beyond monotonicity in regularization methods for nonlinear complementarity problems. Zbl 0997.90085Facchinei, Francisco; Kanzow, Christian 38 1999 Mathematical programs with equilibrium constraints: enhanced Fritz John-conditions, new constraint qualifications, and improved exact penalty results. Zbl 1208.49016Kanzow, Christian; Schwartz, Alexandra 38 2010 A QP-free constrained Newton-type method for variational inequality problems. Zbl 0958.65078Kanzow, Christian; Qi, Hou-Duo 37 1999 On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. Zbl 1151.90552Kanzow, Christian; Klug, Andreas 36 2006 A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Zbl 0964.90046De Luca, Tecla; Facchinei, Francisco; Kanzow, Christian 35 2000 Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558Kanzow, Christian 34 2004 Semidefinite programs: New search directions, smoothing-type methods, and numerical results. Zbl 1029.90052Kanzow, Christian; Nagel, Christian 34 2002 On the Abadie and Guignard constraint qualifications for mathematical programmes with vanishing constraints. Zbl 1162.90560Hoheisel, Tim; Kanzow, Christian 34 2009 Mathematical programs with cardinality constraints: reformulation by complementarity-type conditions and a regularization method. Zbl 1332.90220Burdakov, Oleg P.; Kanzow, Christian; Schwartz, Alexandra 33 2016 On M-stationary points for mathematical programs with equilibrium constraints. Zbl 1136.90484Flegel, Michael L.; Kanzow, Christian 31 2005 Global convergence properties of some iterative methods for linear complementarity problems. Zbl 0847.90132Kanzow, Christian 31 1996 Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications. Zbl 1141.90572Hoheisel, Tim; Kanzow, Christian 31 2008 Equivalence of the generalized complementarity problem to differentiable unconstrained minimization. Zbl 0866.90124Kanzow, C.; Fukushima, M. 29 1996 On the minimum norm solution of linear programs. Zbl 1043.90046Kanzow, C.; Qi, H.; Qi, L. 28 2003 An active set-type Newton method for constrained nonlinear systems. Zbl 0983.90060Kanzow, Christian 27 2001 A new regularization method for mathematical programs with complementarity constraints with strong convergence properties. Zbl 1282.65069Kanzow, Christian; Schwartz, Alexandra 27 2013 Strictly feasible equation-based methods for mixed complementarity problems. Zbl 0992.65070Kanzow, Christian 26 2001 First- and second-order optimality conditions for mathematical programs with vanishing constraints. Zbl 1164.90407Hoheisel, Tim; Kanzow, Christian 26 2007 Relaxation methods for generalized Nash equilibrium problems with inexact line search. Zbl 1182.91024von Heusinger, A.; Kanzow, C. 26 2009 Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. Zbl 1281.90055Dreves, Axel; Kanzow, Christian; Stein, Oliver 26 2012 Global optimization techniques for mixed complementarity problems. Zbl 1009.90119Kanzow, Christian 25 2000 Theory and numerics of constrained problems of optimization. (Theorie und Numerik restringierter Optimierungsaufgaben.) Zbl 1003.90044Geiger, Carl; Kanzow, Christian 25 2002 Exact penalty results for mathematical programs with vanishing constraints. Zbl 1185.90187Hoheisel, Tim; Kanzow, Christian; Outrata, Jiří V. 25 2010 Feasible descent algorithms for mixed complementarity problems. Zbl 0946.90094Ferris, Michael C.; Kanzow, Christian; Munson, Todd S. 23 1999 Successive linearization methods for nonlinear semidefinite programs. Zbl 1122.90058Kanzow, Christian; Nagel, Christian; Kato, Hirokazu; Fukushima, Masao 23 2005 Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces. Zbl 06858743Kanzow, Christian; Shehu, Yekini 21 2018 Numerical methods for solution of unconstrained optimization problems. (Numerische Verfahren zur Lösung unrestringierter Optimierungsaufgaben.) Zbl 0934.65062Geiger, Carl; Kanzow, Christian 21 1999 An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Zbl 1180.90219Kanzow, Christian; Klug, Andreas 21 2007 The semismooth Newton method for the solution of quasi-variational inequalities. Zbl 1331.90083Facchinei, Francisco; Kanzow, Christian; Karl, Sebastian; Sagratella, Simone 21 2015 Newton’s method for computing a normalized equilibrium in the generalized Nash game through fixed point formulation. Zbl 1237.91021von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao 21 2012 Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities. Zbl 0920.90134Kanzow, Christian; Fukushima, Masao 20 1998 On finite termination of an iterative method for linear complementarity problems. Zbl 0855.90125Fischer, Andreas; Kanzow, Christian 20 1996 Augmented Lagrangian methods for the solution of generalized Nash equilibrium problems. Zbl 1351.65037Kanzow, Christian; Steck, Daniel 20 2016 Inexact Newton methods for semismooth equations with applications to variational inequality problems. Zbl 0980.90101Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 19 1996 A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints. Zbl 1055.90087Flegel, Michael L.; Kanzow, Christian 19 2003 The semismooth algorithm for large scale complementarity problems. Zbl 1238.90123Munson, Todd S.; Facchinei, Francisco; Ferris, Michael C.; Fischer, Andreas; Kanzow, Christian 19 2001 Effort maximization in asymmetric contest games with heterogeneous contestants. Zbl 1333.91004Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 19 2013 Regularity properties of a semismooth reformulation of variational inequalities. Zbl 0913.90249Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 18 1998 Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems. Zbl 1227.90040Dreves, Axel; Kanzow, Christian 18 2011 Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Zbl 1356.90146Červinka, Michal; Kanzow, Christian; Schwartz, Alexandra 18 2016 Improved smoothing-type methods for the solution of linear programs. Zbl 0994.65065Engelke, Stephan; Kanzow, Christian 17 2002 A direct proof for \(M\)-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints. Zbl 1125.90062Flegel, Michael L.; Kanzow, Christian 17 2006 The price of inexactness: convergence properties of relaxation methods for mathematical programs with complementarity constraints revisited. Zbl 1344.90058Kanzow, Christian; Schwartz, Alexandra 17 2015 Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. Zbl 1266.90170Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 17 2012 QVILIB: A library of quasi-variational inequality test problems. Zbl 1267.65078Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 17 2013 Solving box constrained variational inequalities by using the natural residual with D-gap function globalization. Zbl 0941.90070Kanzow, Christian; Fukushima, Masao 16 1998 A smoothing-regularization approach to mathematical programs with vanishing constraints. Zbl 1291.90234Achtziger, Wolfgang; Hoheisel, Tim; Kanzow, Christian 16 2013 Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Zbl 06748151Kanzow, Christian; Shehu, Yekini 15 2017 Predictor-corrector smoothing methods for linear programs with a more flexible update of the smoothing parameter. Zbl 1028.90026Engelke, Stephan; Kanzow, Christian 15 2002 A simply constrained optimization reformulation of KKT systems arising from variational inequalities. Zbl 0966.90076Facchinei, F.; Fischer, A.; Kanzow, C.; Peng, J.-M. 15 1999 On unconstrained and constrained stationary points of the implicit Lagrangian. Zbl 0914.90249Facchinei, F.; Kanzow, C. 15 1997 A semismooth Newton method for variational inequalities: The case of box constraints. Zbl 0886.90152Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 14 1997 Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Zbl 1188.90258Kanzow, Christian; Petra, Stefania 14 2007 An example comparing the standard and safeguarded augmented Lagrangian methods. Zbl 1409.90186Kanzow, Christian; Steck, Daniel 12 2017 On a semismooth least squares formulation of complementarity problems with gap reduction. Zbl 1097.90062Kanzow, Christian; Petra, Stefania 12 2004 Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1065.65070Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao 12 2005 Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027Burke, James V.; Hoheisel, Tim; Kanzow, Christian 12 2013 An augmented Lagrangian method for optimization problems in Banach spaces. Zbl 1383.49036Kanzow, Christian; Steck, Daniel; Wachsmuth, Daniel 11 2018 Smoothness properties of a regularized gap function for quasi-variational inequalities. Zbl 1330.90114Harms, Nadja; Kanzow, Christian; Stein, Oliver 11 2014 On the multiplier-penalty-approach for quasi-variational inequalities. Zbl 1354.65141Kanzow, Christian 11 2016 A continuation method for (strongly) monotone variational inequalities. Zbl 0920.90131Kanzow, Christian; Jiang, Houyuan 10 1998 A new approach to continuation methods for complementarity problems with uniform \(P\)-functions. Zbl 0890.90169Kanzow, Christian 10 1997 An unconstrained optimization technique for large-scale linearly constrained convex minimization problems. Zbl 0820.90099Kanzow, C. 10 1994 A hybrid Josephy-Newton method for solving box constrained variational inequality problems via the D-gap function. Zbl 0932.90040Peng, Jiming; Kanzow, Christian; Fukushima, Masao 10 1999 \(SC^{1}\) optimization reformulations of the generalized Nash equilibrium problem. Zbl 1154.91356von Heusinger, Anna; Kanzow, Christian 10 2008 Lottery versus all-pay auction contests: a revenue dominance theorem. Zbl 1284.91174Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 10 2014 Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Zbl 1416.90051Kanzow, Christian; Steck, Daniel 9 2018 On a smooth dual gap function for a class of quasi-variational inequalities. Zbl 1304.49018Harms, Nadja; Hoheisel, Tim; Kanzow, Christian 9 2014 Generalized Newton’s method based on graphical derivatives. Zbl 1236.49069Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H. 9 2012 The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions. Zbl 1236.90146Buchholzer, Hannes; Kanzow, Christian; Knabner, Peter; Kräutle, Serge 8 2011 Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems. Zbl 1263.49026Borzì, Alfio; Kanzow, Christian 8 2013 On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim 8 2012 Inexact trust-region methods for nonlinear complementarity problems. Zbl 0927.65083Kanzow, Christian; Zupke, Martin 7 1999 The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces. Zbl 1419.91105Kanzow, C.; Karl, Veronika; Steck, Daniel; Wachsmuth, Daniel 6 2019 A distributed regularized Jacobi-type ADMM-method for generalized Nash equilibrium problems in Hilbert spaces. Zbl 1447.90073Börgens, Eike; Kanzow, Christian 6 2018 On error bounds and multiplier methods for variational problems in Banach spaces. Zbl 1391.49015Kanzow, Christian; Steck, Daniel 6 2018 On the identification of zero variables in an interior-point framework. Zbl 0999.90044Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 6 2000 Globalized inexact proximal Newton-type methods for nonconvex composite functions. Zbl 1469.90111Kanzow, Christian; Lechner, Theresa 2 2021 Sequential optimality conditions for cardinality-constrained optimization problems with applications. Zbl 1482.90211Kanzow, Christian; Raharja, Andreas B.; Schwartz, Alexandra 2 2021 An augmented Lagrangian method for cardinality-constrained optimization problems. Zbl 1475.90103Kanzow, Christian; Raharja, Andreas B.; Schwartz, Alexandra 1 2021 New constraint qualifications for optimization problems in Banach spaces based on asymptotic KKT conditions. Zbl 1453.90182Börgens, Eike; Kanzow, Christian; Mehlitz, Patrick; Wachsmuth, Gerd 1 2020 The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces. Zbl 1419.91105Kanzow, C.; Karl, Veronika; Steck, Daniel; Wachsmuth, Daniel 6 2019 Quasi-variational inequalities in Banach spaces: theory and augmented Lagrangian methods. Zbl 1430.49005Kanzow, Christian; Steck, Daniel 6 2019 Regularized Jacobi-type ADMM-methods for a class of separable convex optimization problems in Hilbert spaces. Zbl 1423.90176Börgens, Eike; Kanzow, Christian 4 2019 Improved local convergence results for augmented Lagrangian methods in \(C^2\)-cone reducible constrained optimization. Zbl 1461.65164Kanzow, Christian; Steck, Daniel 3 2019 Local and global analysis of multiplier methods for constrained optimization in Banach spaces. Zbl 1431.90176Börgens, Eike; Kanzow, Christian; Steck, Daniel 3 2019 Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces. Zbl 06858743Kanzow, Christian; Shehu, Yekini 21 2018 An augmented Lagrangian method for optimization problems in Banach spaces. Zbl 1383.49036Kanzow, Christian; Steck, Daniel; Wachsmuth, Daniel 11 2018 Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Zbl 1416.90051Kanzow, Christian; Steck, Daniel 9 2018 A distributed regularized Jacobi-type ADMM-method for generalized Nash equilibrium problems in Hilbert spaces. Zbl 1447.90073Börgens, Eike; Kanzow, Christian 6 2018 On error bounds and multiplier methods for variational problems in Banach spaces. Zbl 1391.49015Kanzow, Christian; Steck, Daniel 6 2018 A nonmonotone trust-region method for generalized Nash equilibrium and related problems with strong convergence properties. Zbl 1390.90515Galli, Leonardo; Kanzow, Christian; Sciandrone, Marco 2 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 1418.91004Kanzow, Christian; Schwartz, Alexandra 1 2018 Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Zbl 06748151Kanzow, Christian; Shehu, Yekini 15 2017 An example comparing the standard and safeguarded augmented Lagrangian methods. Zbl 1409.90186Kanzow, Christian; Steck, Daniel 12 2017 A generalized proximal-point method for convex optimization problems in Hilbert spaces. Zbl 1383.90043Kanzow, Christian; Steck, Daniel 2 2017 Mathematical programs with cardinality constraints: reformulation by complementarity-type conditions and a regularization method. Zbl 1332.90220Burdakov, Oleg P.; Kanzow, Christian; Schwartz, Alexandra 33 2016 Augmented Lagrangian methods for the solution of generalized Nash equilibrium problems. Zbl 1351.65037Kanzow, Christian; Steck, Daniel 20 2016 Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Zbl 1356.90146Červinka, Michal; Kanzow, Christian; Schwartz, Alexandra 18 2016 On the multiplier-penalty-approach for quasi-variational inequalities. Zbl 1354.65141Kanzow, Christian 11 2016 On Newton’s method for the Fermat-Weber location problem. Zbl 1346.49042Görner, Simone; Kanzow, Christian 3 2016 The semismooth Newton method for the solution of quasi-variational inequalities. Zbl 1331.90083Facchinei, Francisco; Kanzow, Christian; Karl, Sebastian; Sagratella, Simone 21 2015 The price of inexactness: convergence properties of relaxation methods for mathematical programs with complementarity constraints revisited. Zbl 1344.90058Kanzow, Christian; Schwartz, Alexandra 17 2015 On a reformulation of mathematical programs with cardinality constraints. Zbl 1327.90228Burdakov, Oleg; Kanzow, Christian; Schwartz, Alexandra 6 2015 On differentiability properties of player convex generalized Nash equilibrium problems. Zbl 1329.91008Harms, Nadja; Kanzow, Christian; Stein, Oliver 5 2015 On a smooth dual gap function for a class of player convex generalized Nash equilibrium problems. Zbl 1326.49052Harms, Nadja; Hoheisel, Tim; Kanzow, Christian 2 2015 Solving quasi-variational inequalities via their KKT conditions. Zbl 1293.65100Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 44 2014 Smoothness properties of a regularized gap function for quasi-variational inequalities. Zbl 1330.90114Harms, Nadja; Kanzow, Christian; Stein, Oliver 11 2014 Lottery versus all-pay auction contests: a revenue dominance theorem. Zbl 1284.91174Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 10 2014 On a smooth dual gap function for a class of quasi-variational inequalities. Zbl 1304.49018Harms, Nadja; Hoheisel, Tim; Kanzow, Christian 9 2014 Convergence properties of the inexact Lin-Fukushima relaxation method for mathematical programs with complementarity constraints. Zbl 1326.90086Kanzow, Christian; Schwartz, Alexandra 4 2014 Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Zbl 1262.65065Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 60 2013 A new regularization method for mathematical programs with complementarity constraints with strong convergence properties. Zbl 1282.65069Kanzow, Christian; Schwartz, Alexandra 27 2013 Effort maximization in asymmetric contest games with heterogeneous contestants. Zbl 1333.91004Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 19 2013 QVILIB: A library of quasi-variational inequality test problems. Zbl 1267.65078Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 17 2013 A smoothing-regularization approach to mathematical programs with vanishing constraints. Zbl 1291.90234Achtziger, Wolfgang; Hoheisel, Tim; Kanzow, Christian 16 2013 Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027Burke, James V.; Hoheisel, Tim; Kanzow, Christian 12 2013 Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems. Zbl 1263.49026Borzì, Alfio; Kanzow, Christian 8 2013 A globalized Newton method for the computation of normalized Nash equilibria. Zbl 1273.91026Dreves, Axel; von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao 6 2013 Erratum to “Generalized Newton’s method based on graphical derivatives”. Zbl 1281.49026Hoheisel, T.; Kanzow, C.; Mordukhovich, B. S.; Phan, H. 1 2013 Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. Zbl 1281.90055Dreves, Axel; Kanzow, Christian; Stein, Oliver 26 2012 Newton’s method for computing a normalized equilibrium in the generalized Nash game through fixed point formulation. Zbl 1237.91021von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao 21 2012 Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. Zbl 1266.90170Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 17 2012 Generalized Newton’s method based on graphical derivatives. Zbl 1236.49069Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H. 9 2012 On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim 8 2012 Static prediction games for adversarial learning problems. Zbl 1433.68328Brückner, Michael; Kanzow, Christian; Scheffer, Tobias 2 2012 Mathematical programs with vanishing constraints: a new regularization approach with strong convergence properties. Zbl 1251.65089Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 2 2012 Bounds for the extremal eigenvalues of a class of symmetric tridiagonal matrices with applications. Zbl 1236.15044Buchholzer, Hannes; Kanzow, Christian 1 2012 On the solution of the KKT conditions of generalized Nash equilibrium problems. Zbl 1230.90176Dreves, Axel; Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 43 2011 Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems. Zbl 1227.90040Dreves, Axel; Kanzow, Christian 18 2011 The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions. Zbl 1236.90146Buchholzer, Hannes; Kanzow, Christian; Knabner, Peter; Kräutle, Serge 8 2011 Improved convergence properties of the Lin-Fukushima-regularization method for mathematical programs with complementarity constraints. Zbl 1230.65067Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 6 2011 Generalized Nash equilibrium problems. Zbl 1185.91016Facchinei, Francisco; Kanzow, Christian 135 2010 Penalty methods for the solution of generalized Nash equilibrium problems. Zbl 1211.90228Facchinei, Francisco; Kanzow, Christian 58 2010 Mathematical programs with equilibrium constraints: enhanced Fritz John-conditions, new constraint qualifications, and improved exact penalty results. Zbl 1208.49016Kanzow, Christian; Schwartz, Alexandra 38 2010 Exact penalty results for mathematical programs with vanishing constraints. Zbl 1185.90187Hoheisel, Tim; Kanzow, Christian; Outrata, Jiří V. 25 2010 Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495von Heusinger, Anna; Kanzow, Christian 50 2009 On the local convergence of semismooth Newton methods for linear and nonlinear second-order cone programs without strict complementarity. Zbl 1190.90239Kanzow, Christian; Ferenczi, Izabella; Fukushima, Masao 49 2009 On the Abadie and Guignard constraint qualifications for mathematical programmes with vanishing constraints. Zbl 1162.90560Hoheisel, Tim; Kanzow, Christian 34 2009 Relaxation methods for generalized Nash equilibrium problems with inexact line search. Zbl 1182.91024von Heusinger, A.; Kanzow, C. 26 2009 Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Zbl 1151.90046Achtziger, Wolfgang; Kanzow, Christian 57 2008 Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications. Zbl 1141.90572Hoheisel, Tim; Kanzow, Christian 31 2008 \(SC^{1}\) optimization reformulations of the generalized Nash equilibrium problem. Zbl 1154.91356von Heusinger, Anna; Kanzow, Christian 10 2008 A fast method for finding the global solution of the regularized structured total least squares problem for image deblurring. Zbl 1156.90429Beck, Amir; Ben-Tal, Aharon; Kanzow, Christian 3 2008 Generalized Nash equilibrium problems. Zbl 1211.91162Facchinei, Francisco; Kanzow, Christian 111 2007 Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Zbl 1149.90143Flegel, Michael L.; Kanzow, Christian; Outrata, Jiří V. 43 2007 First- and second-order optimality conditions for mathematical programs with vanishing constraints. Zbl 1164.90407Hoheisel, Tim; Kanzow, Christian 26 2007 An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Zbl 1180.90219Kanzow, Christian; Klug, Andreas 21 2007 Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Zbl 1188.90258Kanzow, Christian; Petra, Stefania 14 2007 Equivalence of two nondegeneracy conditions for semidefinite programs. Zbl 1155.90011Flegel, M. L.; Kanzow, C. 2 2007 On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. Zbl 1151.90552Kanzow, Christian; Klug, Andreas 36 2006 A direct proof for \(M\)-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints. Zbl 1125.90062Flegel, Michael L.; Kanzow, Christian 17 2006 Abadie-type constraint qualification for mathematical programs with equilibrium constraints. Zbl 1090.90200Flegel, M. L.; Kanzow, C. 53 2005 On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Zbl 1147.90397Flegel, Michael L.; Kanzow, Christian 41 2005 On M-stationary points for mathematical programs with equilibrium constraints. Zbl 1136.90484Flegel, Michael L.; Kanzow, Christian 31 2005 Successive linearization methods for nonlinear semidefinite programs. Zbl 1122.90058Kanzow, Christian; Nagel, Christian; Kato, Hirokazu; Fukushima, Masao 23 2005 Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1065.65070Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao 12 2005 Quadratic convergence of a nonsmooth Newton-type method for semidefinite programs without strict complementarity. Zbl 1114.90084Kanzow, Christian; Nagel, Christian 5 2005 Numerical linear equations. Direct and iterative procedures. (Numerik linearer Gleichungssysteme. Direkte und iterative Verfahren.) Zbl 1055.65039Kanzow, Christian 2 2005 Proximal-like methods for convex minimization problems. Zbl 1118.90313Kanzow, Christian 1 2005 Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1064.65037Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao 79 2004 Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558Kanzow, Christian 34 2004 On a semismooth least squares formulation of complementarity problems with gap reduction. Zbl 1097.90062Kanzow, Christian; Petra, Stefania 12 2004 Some structural properties of a Newton-type method for semidefinite programs. Zbl 1129.90336Kanzow, C.; Nagel, C. 3 2004 Corrigendum: Semidefinite programs: new search directions, smoothing-type methods, and numerical results. Zbl 1057.90041Kanzow, Christian; Nagel, Christian 1 2004 On the minimum norm solution of linear programs. Zbl 1043.90046Kanzow, C.; Qi, H.; Qi, L. 28 2003 A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints. Zbl 1055.90087Flegel, Michael L.; Kanzow, Christian 19 2003 Semidefinite programs: New search directions, smoothing-type methods, and numerical results. Zbl 1029.90052Kanzow, Christian; Nagel, Christian 34 2002 Theory and numerics of constrained problems of optimization. (Theorie und Numerik restringierter Optimierungsaufgaben.) Zbl 1003.90044Geiger, Carl; Kanzow, Christian 25 2002 Improved smoothing-type methods for the solution of linear programs. Zbl 0994.65065Engelke, Stephan; Kanzow, Christian 17 2002 Predictor-corrector smoothing methods for linear programs with a more flexible update of the smoothing parameter. Zbl 1028.90026Engelke, Stephan; Kanzow, Christian 15 2002 An active set-type Newton method for constrained nonlinear systems. Zbl 0983.90060Kanzow, Christian 27 2001 Strictly feasible equation-based methods for mixed complementarity problems. Zbl 0992.65070Kanzow, Christian 26 2001 The semismooth algorithm for large scale complementarity problems. Zbl 1238.90123Munson, Todd S.; Facchinei, Francisco; Ferris, Michael C.; Fischer, Andreas; Kanzow, Christian 19 2001 An infeasible interior proximal method for convex programming problems with linear constraints. Zbl 1009.90087Yamashita, Nobuo; Kanzow, Christian; Morimoto, Tomoyuki; Fukushima, Masao 3 2001 On the solution of linear programs by Jacobian smoothing methods. Zbl 0996.90053Engelke, Stephan; Kanzow, Christian 2 2001 A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062Chen, Bintong; Chen, Xiaojun; Kanzow, Christian 61 2000 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,871 Authors 77 Kanzow, Christian 39 Chen, Jein-Shan 36 Qi, Liqun 32 Ma, Changfeng 30 Fukushima, Masao 25 Pan, Shaohua 23 Huang, Zheng-Hai 23 Solodov, Mikhail V. 22 Xiu, Naihua 19 Izmailov, Alekseĭ F. 19 Jian, Jinbao 19 Sagratella, Simone 18 Facchinei, Francisco 18 Shehu, Yekini 17 Fischer, Andreas M. 16 Hoheisel, Tim 16 Liu, Hongwei 16 Ye, Jane J. 15 Andreani, Roberto 15 Dreves, Axel 15 Lin, Guihua 15 Martínez, José Mario 15 Zhang, Liwei 14 Mehlitz, Patrick 13 Aussel, Didier 13 Du, Shouqiang 13 Pang, Jong-Shi 13 Stein, Oliver 13 Zhang, Liping 12 Li, Donghui 12 Schwartz, Alexandra 12 Zhu, Detong 11 Gao, Yan 11 Mishra, Shashi Kant 11 Outrata, Jiří V. 11 Wang, Yiju 11 Zhang, Jin 11 Zhou, Jinchuan 10 Gfrerer, Helmut 10 Passacantando, Mauro 10 Qi, Houduo 10 Shanbhag, Uday V. 10 Sun, Defeng 10 Yamashita, Nobuo 10 Yu, Zhensheng 9 Chen, Xiaojun 9 Dempe, Stephan 9 Lampariello, Lorenzo 9 Li, Xiangli 9 Shen, Chungen 9 Steck, Daniel A. 9 Wachsmuth, Gerd 9 Xu, Hongru 9 Zhang, Jianzhong 9 Zhu, Jianguang 8 Cotrina, John 8 Ketabchi, Saeed 8 Ling, Chen 8 Mosler, Jörn 8 Movahedian, Nooshin 8 Pang, Liping 8 Pu, Dingguo 8 Tawhid, Mohamed Aly 8 Yang, Xiaoqi 7 Allevi, Elisabetta 7 Červinka, Michal 7 Grammatico, Sergio 7 Herrich, Markus 7 Kanno, Yoshihiro 7 Kočvara, Michal 7 Konnov, Igor V. 7 Krejić, Nataša 7 Li, Jianling 7 Liu, Sanyang 7 Moosaei, Hossein 7 Morini, Benedetta 7 Ni, Tie 7 Porcelli, Margherita 7 Santos, Sandra Augusta 7 Tang, Jia 7 Tang, Jingyong 7 Wan, Zhongping 7 Waziri, Mohammed Yusuf 7 Xu, Chengxian 7 Zeng, Jinping 7 Zhou, Guanglu 7 Zhu, Xide 6 Bai, Fusheng 6 Bellavia, Stefania 6 Evtushenko, Yuriĭ Gavrilovich 6 Fang, Liang 6 Gu, Weizhe 6 Haeser, Gabriel 6 Han, Jiye 6 He, Guoping 6 He, Hongjin 6 Hu, Qingjie 6 Huang, Yakui 6 Iyiola, Olaniyi Samuel 6 Kirches, Christian ...and 1,771 more Authors all top 5 Cited in 203 Serials 150 Journal of Optimization Theory and Applications 136 Computational Optimization and Applications 80 Mathematical Programming. 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Yugoslav Journal of Operations Research 4 Automation and Remote Control 4 Review of Economic Design 4 4OR 4 Proceedings of the Steklov Institute of Mathematics 4 Science China. Mathematics 4 Journal of Nonlinear and Variational Analysis 3 Mathematics and Computers in Simulation 3 Theory and Decision 3 Computational Mechanics 3 Computational Management Science 3 Numerical Algebra, Control and Optimization 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 Journal of Mathematical Economics 2 Numerische Mathematik 2 Journal of Information & Optimization Sciences 2 Social Choice and Welfare 2 Science in China. Series A 2 Neural Networks 2 Machine Learning 2 Japan Journal of Industrial and Applied Mathematics 2 Economic Theory 2 Top 2 Journal of Convex Analysis 2 Multibody System Dynamics 2 Vietnam Journal of Mathematics 2 CEJOR. Central European Journal of Operations Research 2 The ANZIAM Journal 2 Journal of Systems Science and Complexity ...and 103 more Serials all top 5 Cited in 37 Fields 1,285 Operations research, mathematical programming (90-XX) 609 Numerical analysis (65-XX) 378 Calculus of variations and optimal control; optimization (49-XX) 239 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 79 Operator theory (47-XX) 59 Mechanics of deformable solids (74-XX) 39 Systems theory; control (93-XX) 38 Computer science (68-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 33 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 15 Biology and other natural sciences (92-XX) 11 Probability theory and stochastic processes (60-XX) 10 Real functions (26-XX) 10 Statistics (62-XX) 10 Information and communication theory, circuits (94-XX) 9 Ordinary differential equations (34-XX) 9 Functional analysis (46-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year