Edit Profile Kanzow, Christian Compute Distance To: Compute Author ID: kanzow.christian Published as: Kanzow, C.; Kanzow, Christian Documents Indexed: 130 Publications since 1994, including 4 Books all top 5 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 Nagel, Christian 5 von Heusinger, Anna 5 Yamashita, Nobuo 4 Börgens, Eike 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 all top 5 Serials 18 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) 52 Numerical analysis (65-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 17 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 126 Publications have been cited 2,707 times in 1,392 Documents Cited by ▼ Year ▼ Some noninterior continuation methods for linear complementarity problems. Zbl 0868.90123Kanzow, Christian 137 1996 A semismooth equation approach to the solution of nonlinear complementarity problems. Zbl 0874.90185de Luca, Tecla; Facchinei, Francisco; Kanzow, Christian 116 1996 Generalized Nash equilibrium problems. Zbl 1185.91016Facchinei, Francisco; Kanzow, Christian 103 2010 Generalized Nash equilibrium problems. Zbl 1211.91162Facchinei, Francisco; Kanzow, Christian 91 2007 On the accurate identification of active constraints. Zbl 0960.90080Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 85 1998 On the resolution of monotone complementarity problems. Zbl 0859.90113Geiger, Carl; Kanzow, Christian 82 1996 Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1064.65037Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao 60 2004 A nonsmooth inexact Newton method for the solution of large-scale nonlinear complementarity problems. Zbl 0871.90096Facchinei, Francisco; Kanzow, Christian 57 1997 A penalized Fischer-Burmeister NCP-function. Zbl 0968.90062Chen, Bintong; Chen, Xiaojun; Kanzow, Christian 53 2000 Penalty methods for the solution of generalized Nash equilibrium problems. Zbl 1211.90228Facchinei, Francisco; Kanzow, Christian 48 2010 A new class of semismooth Newton-type methods for nonlinear complementarity problems. Zbl 0913.90250Kanzow, Christian; Kleinmichel, Helmut 48 1998 Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Zbl 1262.65065Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 46 2013 Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Zbl 1151.90046Achtziger, Wolfgang; Kanzow, Christian 46 2008 Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495von Heusinger, Anna; Kanzow, Christian 45 2009 Abadie-type constraint qualification for mathematical programs with equilibrium constraints. Zbl 1090.90200Flegel, M. L.; Kanzow, C. 44 2005 Nonlinear complementarity as unconstrained optimization. Zbl 0845.90120Kanzow, C. 43 1996 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 40 2009 Jacobian smoothing methods for nonlinear complementarity problems. Zbl 0986.90065Kanzow, Christian; Pieper, Heiko 40 1999 Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Zbl 1149.90143Flegel, Michael L.; Kanzow, Christian; Outrata, Jiří V. 37 2007 Beyond monotonicity in regularization methods for nonlinear complementarity problems. Zbl 0997.90085Facchinei, Francisco; Kanzow, Christian 37 1999 Solving quasi-variational inequalities via their KKT conditions. Zbl 1293.65100Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 36 2014 On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Zbl 1147.90397Flegel, Michael L.; Kanzow, Christian 36 2005 New NCP-functions and their properties. Zbl 0886.90146Kanzow, C.; Yamashita, N.; Fukushima, M. 36 1997 On the solution of the KKT conditions of generalized Nash equilibrium problems. Zbl 1230.90176Dreves, Axel; Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 35 2011 Semidefinite programs: New search directions, smoothing-type methods, and numerical results. Zbl 1029.90052Kanzow, Christian; Nagel, Christian 34 2002 A QP-free constrained Newton-type method for variational inequality problems. Zbl 0958.65078Kanzow, Christian; Qi, Hou-Duo 34 1999 A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Zbl 0964.90046De Luca, Tecla; Facchinei, Francisco; Kanzow, Christian 33 2000 On affine-scaling interior-point Newton methods for nonlinear minimization with bound constraints. Zbl 1151.90552Kanzow, Christian; Klug, Andreas 32 2006 Mathematical programs with equilibrium constraints: enhanced Fritz John-conditions, new constraint qualifications, and improved exact penalty results. Zbl 1208.49016Kanzow, Christian; Schwartz, Alexandra 31 2010 Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558Kanzow, Christian 31 2004 Global convergence properties of some iterative methods for linear complementarity problems. Zbl 0847.90132Kanzow, Christian 31 1996 On the Abadie and Guignard constraint qualifications for mathematical programmes with vanishing constraints. Zbl 1162.90560Hoheisel, Tim; Kanzow, Christian 27 2009 Equivalence of the generalized complementarity problem to differentiable unconstrained minimization. Zbl 0866.90124Kanzow, C.; Fukushima, M. 27 1996 Strictly feasible equation-based methods for mixed complementarity problems. Zbl 0992.65070Kanzow, Christian 26 2001 On the minimum norm solution of linear programs. Zbl 1043.90046Kanzow, C.; Qi, H.; Qi, L. 25 2003 Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. Zbl 1281.90055Dreves, Axel; Kanzow, Christian; Stein, Oliver 24 2012 Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications. Zbl 1141.90572Hoheisel, Tim; Kanzow, Christian 24 2008 An active set-type Newton method for constrained nonlinear systems. Zbl 0983.90060Kanzow, Christian 24 2001 Global optimization techniques for mixed complementarity problems. Zbl 1009.90119Kanzow, Christian 24 2000 Mathematical programs with cardinality constraints: reformulation by complementarity-type conditions and a regularization method. Zbl 1332.90220Burdakov, Oleg P.; Kanzow, Christian; Schwartz, Alexandra 23 2016 Relaxation methods for generalized Nash equilibrium problems with inexact line search. Zbl 1182.91024von Heusinger, A.; Kanzow, C. 23 2009 On M-stationary points for mathematical programs with equilibrium constraints. Zbl 1136.90484Flegel, Michael L.; Kanzow, Christian 23 2005 Feasible descent algorithms for mixed complementarity problems. Zbl 0946.90094Ferris, Michael C.; Kanzow, Christian; Munson, Todd S. 23 1999 Exact penalty results for mathematical programs with vanishing constraints. Zbl 1185.90187Hoheisel, Tim; Kanzow, Christian; Outrata, Jiří V. 22 2010 Successive linearization methods for nonlinear semidefinite programs. Zbl 1122.90058Kanzow, Christian; Nagel, Christian; Kato, Hirokazu; Fukushima, Masao 22 2005 A new regularization method for mathematical programs with complementarity constraints with strong convergence properties. Zbl 1282.65069Kanzow, Christian; Schwartz, Alexandra 21 2013 First- and second-order optimality conditions for mathematical programs with vanishing constraints. Zbl 1164.90407Hoheisel, Tim; Kanzow, Christian 20 2007 On finite termination of an iterative method for linear complementarity problems. Zbl 0855.90125Fischer, Andreas; Kanzow, Christian 20 1996 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 19 2012 An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Zbl 1180.90219Kanzow, Christian; Klug, Andreas 19 2007 Theory and numerics of constrained problems of optimization. Zbl 1003.90044Geiger, Carl; Kanzow, Christian 19 2002 Theoretical and numerical investigation of the D-gap function for box constrained variational inequalities. Zbl 0920.90134Kanzow, Christian; Fukushima, Masao 19 1998 The semismooth algorithm for large scale complementarity problems. Zbl 1238.90123Munson, Todd S.; Facchinei, Francisco; Ferris, Michael C.; Fischer, Andreas; Kanzow, Christian 18 2001 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 17 2011 Effort maximization in asymmetric contest games with heterogeneous contestants. Zbl 1333.91004Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 16 2013 A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints. Zbl 1055.90087Flegel, Michael L.; Kanzow, Christian 16 2003 Improved smoothing-type methods for the solution of linear programs. Zbl 0994.65065Engelke, Stephan; Kanzow, Christian 16 2002 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 15 2013 Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. Zbl 1266.90170Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 15 2012 A direct proof for \(M\)-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints. Zbl 1125.90062Flegel, Michael L.; Kanzow, Christian 15 2006 Predictor-corrector smoothing methods for linear programs with a more flexible update of the smoothing parameter. Zbl 1028.90026Engelke, Stephan; Kanzow, Christian 15 2002 Numerical methods for solution of unconstrained optimization problems. Zbl 0934.65062Geiger, Carl; Kanzow, Christian 15 1999 On unconstrained and constrained stationary points of the implicit Lagrangian. Zbl 0914.90249Facchinei, F.; Kanzow, C. 15 1997 Inexact Newton methods for semismooth equations with applications to variational inequality problems. Zbl 0980.90101Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 15 1996 Augmented Lagrangian methods for the solution of generalized Nash equilibrium problems. Zbl 1351.65037Kanzow, Christian; Steck, Daniel 14 2016 QVILIB: A library of quasi-variational inequality test problems. Zbl 1267.65078Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 14 2013 Projected filter trust region methods for a semismooth least squares formulation of mixed complementarity problems. Zbl 1188.90258Kanzow, Christian; Petra, Stefania 14 2007 A simply constrained optimization reformulation of KKT systems arising from variational inequalities. Zbl 0966.90076Facchinei, F.; Fischer, A.; Kanzow, C.; Peng, J.-M. 14 1999 Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces. Zbl 06858743Kanzow, Christian; Shehu, Yekini 13 2018 The semismooth Newton method for the solution of quasi-variational inequalities. Zbl 1331.90083Facchinei, Francisco; Kanzow, Christian; Karl, Sebastian; Sagratella, Simone 13 2015 The price of inexactness: convergence properties of relaxation methods for mathematical programs with complementarity constraints revisited. Zbl 1344.90058Kanzow, Christian; Schwartz, Alexandra 13 2015 A semismooth Newton method for variational inequalities: The case of box constraints. Zbl 0886.90152Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 13 1997 On a semismooth least squares formulation of complementarity problems with gap reduction. Zbl 1097.90062Kanzow, Christian; Petra, Stefania 12 2004 Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Zbl 1356.90146Červinka, Michal; Kanzow, Christian; Schwartz, Alexandra 11 2016 Smoothness properties of a regularized gap function for quasi-variational inequalities. Zbl 1330.90114Harms, Nadja; Kanzow, Christian; Stein, Oliver 11 2014 Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1065.65070Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao 11 2005 Lottery versus all-pay auction contests: a revenue dominance theorem. Zbl 1284.91174Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 10 2014 \(SC^{1}\) optimization reformulations of the generalized Nash equilibrium problem. Zbl 1154.91356von Heusinger, Anna; Kanzow, Christian 10 2008 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 Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Zbl 1416.90051Kanzow, Christian; Steck, Daniel 9 2018 On the multiplier-penalty-approach for quasi-variational inequalities. Zbl 1354.65141Kanzow, Christian 9 2016 On a smooth dual gap function for a class of quasi-variational inequalities. Zbl 1304.49018Harms, Nadja; Hoheisel, Tim; Kanzow, Christian 9 2014 Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027Burke, James V.; Hoheisel, Tim; Kanzow, Christian 9 2013 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 9 1999 An example comparing the standard and safeguarded augmented Lagrangian methods. Zbl 1409.90186Kanzow, Christian; Steck, Daniel 7 2017 On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim 7 2012 Generalized Newton’s method based on graphical derivatives. Zbl 1236.49069Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H. 7 2012 Inexact trust-region methods for nonlinear complementarity problems. Zbl 0927.65083Kanzow, Christian; Zupke, Martin 7 1999 An augmented Lagrangian method for optimization problems in Banach spaces. Zbl 1383.49036Kanzow, Christian; Steck, Daniel; Wachsmuth, Daniel 6 2018 Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Zbl 06748151Kanzow, Christian; Shehu, Yekini 6 2017 Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems. Zbl 1263.49026Borzì, Alfio; Kanzow, Christian 6 2013 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 6 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 On the identification of zero variables in an interior-point framework. Zbl 0999.90044Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 6 2000 On a reformulation of mathematical programs with cardinality constraints. Zbl 1327.90228Burdakov, Oleg; Kanzow, Christian; Schwartz, Alexandra 5 2015 On differentiability properties of player convex generalized Nash equilibrium problems. Zbl 1329.91008Harms, Nadja; Kanzow, Christian; Stein, Oliver 5 2015 The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces. Zbl 1419.91105Kanzow, C.; Karl, Veronika; Steck, Daniel; Wachsmuth, Daniel 4 2019 Quasi-variational inequalities in Banach spaces: theory and augmented Lagrangian methods. Zbl 1430.49005Kanzow, 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 1 2019 Regularized Jacobi-type ADMM-methods for a class of separable convex optimization problems in Hilbert spaces. Zbl 1423.90176Börgens, Eike; Kanzow, Christian 1 2019 Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces. Zbl 06858743Kanzow, Christian; Shehu, Yekini 13 2018 Augmented Lagrangian and exact penalty methods for quasi-variational inequalities. Zbl 1416.90051Kanzow, Christian; Steck, Daniel 9 2018 An augmented Lagrangian method for optimization problems in Banach spaces. Zbl 1383.49036Kanzow, Christian; Steck, Daniel; Wachsmuth, Daniel 6 2018 On error bounds and multiplier methods for variational problems in Banach spaces. Zbl 1391.49015Kanzow, Christian; Steck, Daniel 4 2018 A distributed regularized Jacobi-type ADMM-method for generalized Nash equilibrium problems in Hilbert spaces. Zbl 1447.90073Börgens, Eike; Kanzow, Christian 3 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. Zbl 1418.91004Kanzow, Christian; Schwartz, Alexandra 1 2018 An example comparing the standard and safeguarded augmented Lagrangian methods. Zbl 1409.90186Kanzow, Christian; Steck, Daniel 7 2017 Generalized Krasnoselskii-Mann-type iterations for nonexpansive mappings in Hilbert spaces. Zbl 06748151Kanzow, Christian; Shehu, Yekini 6 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 23 2016 Augmented Lagrangian methods for the solution of generalized Nash equilibrium problems. Zbl 1351.65037Kanzow, Christian; Steck, Daniel 14 2016 Constraint qualifications and optimality conditions for optimization problems with cardinality constraints. Zbl 1356.90146Červinka, Michal; Kanzow, Christian; Schwartz, Alexandra 11 2016 On the multiplier-penalty-approach for quasi-variational inequalities. Zbl 1354.65141Kanzow, Christian 9 2016 On Newton’s method for the Fermat-Weber location problem. Zbl 1346.49042Görner, Simone; Kanzow, Christian 2 2016 The semismooth Newton method for the solution of quasi-variational inequalities. Zbl 1331.90083Facchinei, Francisco; Kanzow, Christian; Karl, Sebastian; Sagratella, Simone 13 2015 The price of inexactness: convergence properties of relaxation methods for mathematical programs with complementarity constraints revisited. Zbl 1344.90058Kanzow, Christian; Schwartz, Alexandra 13 2015 On a reformulation of mathematical programs with cardinality constraints. Zbl 1327.90228Burdakov, Oleg; Kanzow, Christian; Schwartz, Alexandra 5 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 36 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 3 2014 Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints. Zbl 1262.65065Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 46 2013 A new regularization method for mathematical programs with complementarity constraints with strong convergence properties. Zbl 1282.65069Kanzow, Christian; Schwartz, Alexandra 21 2013 Effort maximization in asymmetric contest games with heterogeneous contestants. Zbl 1333.91004Franke, Jörg; Kanzow, Christian; Leininger, Wolfgang; Schwartz, Alexandra 16 2013 A smoothing-regularization approach to mathematical programs with vanishing constraints. Zbl 1291.90234Achtziger, Wolfgang; Hoheisel, Tim; Kanzow, Christian 15 2013 QVILIB: A library of quasi-variational inequality test problems. Zbl 1267.65078Facchinei, Francisco; Kanzow, Christian; Sagratella, Simone 14 2013 Gradient consistency for integral-convolution smoothing functions. Zbl 1321.49027Burke, James V.; Hoheisel, Tim; Kanzow, Christian 9 2013 Formulation and numerical solution of Nash equilibrium multiobjective elliptic control problems. Zbl 1263.49026Borzì, Alfio; Kanzow, Christian 6 2013 A globalized Newton method for the computation of normalized Nash equilibria. Zbl 1273.91026Dreves, Axel; von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao 5 2013 Nonsmooth optimization reformulations of player convex generalized Nash equilibrium problems. Zbl 1281.90055Dreves, Axel; Kanzow, Christian; Stein, Oliver 24 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 19 2012 Convergence of a local regularization approach for mathematical programmes with complementarity or vanishing constraints. Zbl 1266.90170Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 15 2012 On a relaxation method for mathematical programs with vanishing constraints. Zbl 1256.49032Achtziger, Wolfgang; Kanzow, Christian; Hoheisel, Tim 7 2012 Generalized Newton’s method based on graphical derivatives. Zbl 1236.49069Hoheisel, T.; Kanzow, C.; Mordukhovich, Boris. S.; Phan, H. 7 2012 Mathematical programs with vanishing constraints: a new regularization approach with strong convergence properties. Zbl 1251.65089Hoheisel, Tim; Kanzow, Christian; Schwartz, Alexandra 2 2012 Static prediction games for adversarial learning problems. Zbl 1433.68328Brückner, Michael; Kanzow, Christian; Scheffer, Tobias 1 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 35 2011 Nonsmooth optimization reformulations characterizing all solutions of jointly convex generalized Nash equilibrium problems. Zbl 1227.90040Dreves, Axel; Kanzow, Christian 17 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 6 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 103 2010 Penalty methods for the solution of generalized Nash equilibrium problems. Zbl 1211.90228Facchinei, Francisco; Kanzow, Christian 48 2010 Mathematical programs with equilibrium constraints: enhanced Fritz John-conditions, new constraint qualifications, and improved exact penalty results. Zbl 1208.49016Kanzow, Christian; Schwartz, Alexandra 31 2010 Exact penalty results for mathematical programs with vanishing constraints. Zbl 1185.90187Hoheisel, Tim; Kanzow, Christian; Outrata, Jiří V. 22 2010 Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. Zbl 1170.90495von Heusinger, Anna; Kanzow, Christian 45 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 40 2009 On the Abadie and Guignard constraint qualifications for mathematical programmes with vanishing constraints. Zbl 1162.90560Hoheisel, Tim; Kanzow, Christian 27 2009 Relaxation methods for generalized Nash equilibrium problems with inexact line search. Zbl 1182.91024von Heusinger, A.; Kanzow, C. 23 2009 Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Zbl 1151.90046Achtziger, Wolfgang; Kanzow, Christian 46 2008 Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications. Zbl 1141.90572Hoheisel, Tim; Kanzow, Christian 24 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 91 2007 Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints. Zbl 1149.90143Flegel, Michael L.; Kanzow, Christian; Outrata, Jiří V. 37 2007 First- and second-order optimality conditions for mathematical programs with vanishing constraints. Zbl 1164.90407Hoheisel, Tim; Kanzow, Christian 20 2007 An interior-point affine-scaling trust-region method for semismooth equations with box constraints. Zbl 1180.90219Kanzow, Christian; Klug, Andreas 19 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 32 2006 A direct proof for \(M\)-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints. Zbl 1125.90062Flegel, Michael L.; Kanzow, Christian 15 2006 Abadie-type constraint qualification for mathematical programs with equilibrium constraints. Zbl 1090.90200Flegel, M. L.; Kanzow, C. 44 2005 On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Zbl 1147.90397Flegel, Michael L.; Kanzow, Christian 36 2005 On M-stationary points for mathematical programs with equilibrium constraints. Zbl 1136.90484Flegel, Michael L.; Kanzow, Christian 23 2005 Successive linearization methods for nonlinear semidefinite programs. Zbl 1122.90058Kanzow, Christian; Nagel, Christian; Kato, Hirokazu; Fukushima, Masao 22 2005 Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints. Zbl 1065.65070Kanzow, Christian; Yamashita, Nobuo; Fukushima, Masao 11 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. 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 60 2004 Inexact semismooth Newton methods for large-scale complementarity problems. Zbl 1141.90558Kanzow, Christian 31 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. 25 2003 A Fritz John approach to first order optimality conditions for mathematical programs with equilibrium constraints. Zbl 1055.90087Flegel, Michael L.; Kanzow, Christian 16 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. Zbl 1003.90044Geiger, Carl; Kanzow, Christian 19 2002 Improved smoothing-type methods for the solution of linear programs. Zbl 0994.65065Engelke, Stephan; Kanzow, Christian 16 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 Strictly feasible equation-based methods for mixed complementarity problems. Zbl 0992.65070Kanzow, Christian 26 2001 An active set-type Newton method for constrained nonlinear systems. Zbl 0983.90060Kanzow, Christian 24 2001 The semismooth algorithm for large scale complementarity problems. Zbl 1238.90123Munson, Todd S.; Facchinei, Francisco; Ferris, Michael C.; Fischer, Andreas; Kanzow, Christian 18 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 53 2000 A theoretical and numerical comparison of some semismooth algorithms for complementarity problems. Zbl 0964.90046De Luca, Tecla; Facchinei, Francisco; Kanzow, Christian 33 2000 Global optimization techniques for mixed complementarity problems. Zbl 1009.90119Kanzow, Christian 24 2000 On the identification of zero variables in an interior-point framework. Zbl 0999.90044Facchinei, Francisco; Fischer, Andreas; Kanzow, Christian 6 2000 Jacobian smoothing methods for nonlinear complementarity problems. Zbl 0986.90065Kanzow, Christian; Pieper, Heiko 40 1999 Beyond monotonicity in regularization methods for nonlinear complementarity problems. Zbl 0997.90085Facchinei, Francisco; Kanzow, Christian 37 1999 A QP-free constrained Newton-type method for variational inequality problems. Zbl 0958.65078Kanzow, Christian; Qi, Hou-Duo 34 1999 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,661 Authors 73 Kanzow, Christian 36 Chen, Jein-Shan 36 Qi, Liqun 32 Ma, Changfeng 30 Fukushima, Masao 24 Pan, Shaohua 21 Huang, Zheng-Hai 19 Jian, Jinbao 19 Xiu, Naihua 18 Facchinei, Francisco 16 Liu, Hongwei 16 Sagratella, Simone 15 Dreves, Axel 15 Fischer, Andreas M. 15 Hoheisel, Tim 15 Izmailov, Alexey F. 15 Lin, Guihua 15 Martínez, José Mario 15 Ye, Jane J. 13 Andreani, Roberto 13 Pang, Jong-Shi 13 Zhang, Liwei 12 Du, Shouqiang 12 Zhang, Liping 11 Aussel, Didier 11 Gao, Yan 11 Shehu, Yekini 11 Solodov, Mikhail V. 11 Zhang, Jin 11 Zhu, Detong 10 Li, Donghui 10 Mehlitz, Patrick 10 Schwartz, Alexandra 10 Sun, Defeng 10 Yamashita, Nobuo 9 Chen, Xiaojun 9 Ketabchi, Saeed 9 Li, Xiangli 9 Outrata, Jiří V. 9 Qi, Houduo 9 Solodov, Michael V. 9 Steck, Daniel A. 9 Wang, Yiju 9 Zhang, Jianzhong 9 Zhou, Jinchuan 9 Zhu, Jianguang 8 Dempe, Stephan 8 Gfrerer, Helmut 8 Pang, Liping 8 Passacantando, Mauro 8 Pu, Dingguo 8 Tawhid, Mohamed Aly 8 Wachsmuth, Gerd 8 Xu, Hongru 8 Yang, Xiaoqi 8 Yu, Zhensheng 7 Allevi, Elisabetta 7 Herrich, Markus 7 Kanno, Yoshihiro 7 Kočvara, Michal 7 Krejić, Nataša 7 Ling, Chen 7 Morini, Benedetta 7 Mosler, Jörn 7 Movahedian, Nooshin 7 Porcelli, Margherita 7 Santos, Sandra Augusta 7 Shanbhag, Uday V. 7 Shen, Chungen 7 Stein, Oliver 7 Tang, Jia 7 Xu, Chengxian 7 Zeng, Jinping 6 Bellavia, Stefania 6 Červinka, Michal 6 Evtushenko, Yuriĭ Gavrilovich 6 Fang, Liang 6 Gu, Weizhe 6 Han, Jiye 6 He, Guoping 6 Hu, Qingjie 6 Huang, Yakui 6 Kong, Lingchen 6 Lampariello, Lorenzo 6 Li, Jianling 6 Liu, Sanyang 6 Mishra, Shashi Kant 6 Moosaei, Hossein 6 Ni, Tie 6 Nobakhtian, Soghra 6 Pieraccini, Sandra 6 Tong, Xiaojiao 6 Wan, Zhongping 6 Wang, Song 6 Wu, Zhiyou 6 Yang, Yufei 6 Zhu, Xide 5 Bai, Fusheng 5 Chen, Yu 5 Cotrina, John ...and 1,561 more Authors all top 5 Cited in 168 Serials 133 Journal of Optimization Theory and Applications 114 Computational Optimization and Applications 77 Mathematical Programming. Series A. Series B 65 Journal of Global Optimization 63 Applied Mathematics and Computation 61 Journal of Computational and Applied Mathematics 56 Optimization 45 Optimization Methods & Software 34 SIAM Journal on Optimization 31 Numerical Algorithms 29 Optimization Letters 23 Set-Valued and Variational Analysis 22 Operations Research Letters 22 European Journal of Operational Research 22 Mathematical Methods of Operations Research 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Numerical Functional Analysis and Optimization 19 Annals of Operations Research 18 Computers & Mathematics with Applications 18 Journal of Inequalities and Applications 18 Journal of Applied Mathematics and Computing 18 Journal of Industrial and Management Optimization 16 Computer Methods in Applied Mechanics and Engineering 15 International Journal of Computer Mathematics 15 Mathematical Problems in Engineering 14 Journal of Mathematical Analysis and Applications 13 Automatica 13 Applied Numerical Mathematics 12 Computational and Applied Mathematics 10 Acta Mathematicae Applicatae Sinica. English Series 10 Asia-Pacific Journal of Operational Research 9 Abstract and Applied Analysis 8 Applied Mathematical Modelling 8 Optimization and Engineering 8 Nonlinear Analysis. Real World Applications 7 Applications of Mathematics 7 Acta Mathematica Sinica. English Series 6 Mathematics of Computation 6 Calcolo 6 Mathematical and Computer Modelling 6 Linear Algebra and its Applications 6 SIAM Journal on Scientific Computing 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 SIAM Journal on Control and Optimization 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 Review of Economic Design 4 Proceedings of the Steklov Institute of Mathematics 4 Science China. Mathematics 3 Theory and Decision 3 Computers & Operations Research 3 SIAM Journal on Matrix Analysis and Applications 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 Applied Mathematics and Optimization 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 2 Journal of Nonlinear and Variational Analysis 1 Computers and Fluids 1 Computer Physics Communications ...and 68 more Serials all top 5 Cited in 36 Fields 1,116 Operations research, mathematical programming (90-XX) 527 Numerical analysis (65-XX) 325 Calculus of variations and optimal control; optimization (49-XX) 195 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Operator theory (47-XX) 46 Mechanics of deformable solids (74-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 28 Computer science (68-XX) 27 Partial differential equations (35-XX) 26 Systems theory; control (93-XX) 18 Fluid mechanics (76-XX) 11 Biology and other natural sciences (92-XX) 9 Real functions (26-XX) 9 Ordinary differential equations (34-XX) 9 Information and communication theory, circuits (94-XX) 8 Functional analysis (46-XX) 8 Statistics (62-XX) 6 Probability theory and stochastic processes (60-XX) 3 Combinatorics (05-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-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 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year