Edit Profile (opens in new tab) Kirches, Christian Co-Author Distance Author ID: kirches.christian Published as: Kirches, Christian; Kirches, C. External Links: MGP Documents Indexed: 34 Publications since 2009, including 1 Book and 5 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 38 Co-Authors with 34 Joint Publications 976 Co-Co-Authors all top 5 Co-Authors 1 single-authored 11 Manns, Paul 10 Sager, Sebastian 8 Bock, Hans Georg 6 Potschka, Andreas 4 Leyffer, Sven 4 Schlöder, Johannes P. 3 Hansknecht, Christoph 3 Hegerhorst-Schultchen, Lisa C. 3 Jung, Michael Norman Helmut Gerhard 3 Lenders, Felix 3 Steinbach, Marc Christian 2 Bestehorn, Felix 2 Hahn, Mirko 2 Wächter, Andreas 1 Albersmeyer, Jan 1 Beigel, Dörte 1 Belotti, Pietro 1 Bergner, Lilli 1 Besselmann, Thomas 1 Cebulla, Dominik H. 1 Diehl, Moritz Mathias 1 Ferreau, Hans Joachim 1 Frison, Lilli 1 Gleixner, Ambros M. 1 Janka, Dennis 1 Johnson, Travis C. 1 Larson, Jeffrey 1 Linderoth, Jeff T. 1 Luedtke, James R. 1 Mahajan, Ashutosh 1 Meyer, Andreas 1 Mitchell, John E. 1 Ralphs, Theodore K. 1 Sass, Susanne 1 Ulbrich, Stefan 1 van de Moortel, Sture 1 Wirsching, Leonard 1 Zeile, Clemens all top 5 Serials 5 Optimization Methods & Software 4 Mathematical Programming Computation 2 SIAM Journal on Control and Optimization 2 Optimal Control Applications & Methods 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Optimization 1 Mathematics of Computation 1 SIAM Journal on Numerical Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Acta Numerica 1 Pacific Journal of Optimization all top 5 Fields 29 Operations research, mathematical programming (90-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 12 Numerical analysis (65-XX) 10 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 381 times in 267 Documents Cited by ▼ Year ▼ Mixed-integer nonlinear optimization. Zbl 1291.65172 Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh 115 2013 qpOASES: a parametric active-set algorithm for quadratic programming. Zbl 1302.90146 Ferreau, Hans Joachim; Kirches, Christian; Potschka, Andreas; Bock, Hans Georg; Diehl, Moritz 65 2014 Combinatorial integral approximation. Zbl 1220.90073 Sager, Sebastian; Jung, Michael; Kirches, Christian 31 2011 Time-optimal control of automobile test drives with gear shifts. Zbl 1204.49033 Kirches, Christian; Sager, Sebastian; Bock, Hans Georg; Schlöder, Johannes P. 23 2010 Fast numerical methods for mixed-integer nonlinear model-predictive control. Zbl 1312.65101 Kirches, Christian 19 2011 Multidimensional sum-up rounding for elliptic control systems. Zbl 1455.49017 Manns, Paul; Kirches, Christian 16 2020 Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems. Zbl 1439.49023 Manns, Paul; Kirches, Christian 15 2020 Approximation properties and tight bounds for constrained mixed-integer optimal control. Zbl 1443.49033 Kirches, C.; Lenders, F.; Manns, P. 15 2020 On perspective functions and vanishing constraints in mixed-integer nonlinear optimal control. Zbl 1320.49011 Jung, Michael N.; Kirches, Christian; Sager, Sebastian 12 2013 A parametric active-set method for qps with vanishing constraints arising in a robot motion planning problem. Zbl 1270.90042 Kirches, Christian; Potschka, Andreas; Bock, Hans Georg; Sager, Sebastian 11 2013 Block-structured quadratic programming for the direct multiple shooting method for optimal control. Zbl 1226.90139 Kirches, Christian; Bock, Hans Georg; Schlöder, Johannes P.; Sager, Sebastian 9 2011 Numerical solution of optimal control problems with explicit and implicit switches. Zbl 1458.49024 Bock, Hans Georg; Kirches, Christian; Meyer, Andreas; Potschka, Andreas 7 2018 An SR1/BFGS SQP algorithm for nonconvex nonlinear programs with block-diagonal Hessian matrix. Zbl 1391.90575 Janka, Dennis; Kirches, Christian; Sager, Sebastian; Wächter, Andreas 5 2016 A factorization with update procedures for a KKT matrix arising in direct optimal control. Zbl 1276.90046 Kirches, Christian; Bock, Hans Georg; Schlöder, Johannes P.; Sager, Sebastian 5 2011 Approximation properties of sum-up rounding in the presence of vanishing constraints. Zbl 1462.49053 Manns, Paul; Kirches, Christian; Lenders, Felix 5 2021 trlib: a vector-free implementation of the GLTR method for iterative solution of the trust region problem. Zbl 1390.35364 Lenders, Felix; Kirches, C.; Potschka, A. 4 2018 TACO: a toolkit for AMPL control optimization. Zbl 1302.49043 Kirches, Christian; Leyffer, Sven 4 2013 The polynomial chaos approach for reachable set propagation with application to chance-constrained nonlinear optimal control under parametric uncertainties. Zbl 1393.93020 Bergner, Lilli; Kirches, Christian 4 2018 An active-set method for quadratic programming based on sequential hot-starts. Zbl 1327.90003 Johnson, Travis C.; Kirches, Christian; Wächter, Andreas 3 2015 Compactness and convergence rates in the combinatorial integral approximation decomposition. Zbl 1471.49006 Kirches, Christian; Manns, Paul; Ulbrich, Stefan 3 2021 Mixed-integer optimal control problems with switching costs: a shortest path approach. Zbl 1470.49004 Bestehorn, Felix; Hansknecht, Christoph; Kirches, Christian; Manns, Paul 3 2021 Computational approaches for mixed integer optimal control problems with indicator constraints. Zbl 1405.49002 Jung, Michael N.; Kirches, Christian; Sager, Sebastian; Sass, Susanne 3 2018 On the relation between MPECs and optimization problems in abs-normal form. Zbl 1440.90073 Hegerhorst-Schultchen, L. C.; Kirches, C.; Steinbach, M. C. 2 2020 Fast nonlinear model predictive control with an application in automotive engineering. Zbl 1195.93036 Albersmeyer, Jan; Beigel, Dörte; Kirches, Christian; Wirsching, Leonard; Bock, Hans Georg; Schlöder, Johannes P. 1 2009 Sequential linearization method for bound-constrained mathematical programs with complementarity constraints. Zbl 1484.90126 Kirches, Christian; Larson, Jeffrey; Leyffer, Sven; Manns, Paul 1 2022 Sequential linearization method for bound-constrained mathematical programs with complementarity constraints. Zbl 1484.90126 Kirches, Christian; Larson, Jeffrey; Leyffer, Sven; Manns, Paul 1 2022 Approximation properties of sum-up rounding in the presence of vanishing constraints. Zbl 1462.49053 Manns, Paul; Kirches, Christian; Lenders, Felix 5 2021 Compactness and convergence rates in the combinatorial integral approximation decomposition. Zbl 1471.49006 Kirches, Christian; Manns, Paul; Ulbrich, Stefan 3 2021 Mixed-integer optimal control problems with switching costs: a shortest path approach. Zbl 1470.49004 Bestehorn, Felix; Hansknecht, Christoph; Kirches, Christian; Manns, Paul 3 2021 Multidimensional sum-up rounding for elliptic control systems. Zbl 1455.49017 Manns, Paul; Kirches, Christian 16 2020 Improved regularity assumptions for partial outer convexification of mixed-integer PDE-constrained optimization problems. Zbl 1439.49023 Manns, Paul; Kirches, Christian 15 2020 Approximation properties and tight bounds for constrained mixed-integer optimal control. Zbl 1443.49033 Kirches, C.; Lenders, F.; Manns, P. 15 2020 On the relation between MPECs and optimization problems in abs-normal form. Zbl 1440.90073 Hegerhorst-Schultchen, L. C.; Kirches, C.; Steinbach, M. C. 2 2020 Numerical solution of optimal control problems with explicit and implicit switches. Zbl 1458.49024 Bock, Hans Georg; Kirches, Christian; Meyer, Andreas; Potschka, Andreas 7 2018 trlib: a vector-free implementation of the GLTR method for iterative solution of the trust region problem. Zbl 1390.35364 Lenders, Felix; Kirches, C.; Potschka, A. 4 2018 The polynomial chaos approach for reachable set propagation with application to chance-constrained nonlinear optimal control under parametric uncertainties. Zbl 1393.93020 Bergner, Lilli; Kirches, Christian 4 2018 Computational approaches for mixed integer optimal control problems with indicator constraints. Zbl 1405.49002 Jung, Michael N.; Kirches, Christian; Sager, Sebastian; Sass, Susanne 3 2018 An SR1/BFGS SQP algorithm for nonconvex nonlinear programs with block-diagonal Hessian matrix. Zbl 1391.90575 Janka, Dennis; Kirches, Christian; Sager, Sebastian; Wächter, Andreas 5 2016 An active-set method for quadratic programming based on sequential hot-starts. Zbl 1327.90003 Johnson, Travis C.; Kirches, Christian; Wächter, Andreas 3 2015 qpOASES: a parametric active-set algorithm for quadratic programming. Zbl 1302.90146 Ferreau, Hans Joachim; Kirches, Christian; Potschka, Andreas; Bock, Hans Georg; Diehl, Moritz 65 2014 Mixed-integer nonlinear optimization. Zbl 1291.65172 Belotti, Pietro; Kirches, Christian; Leyffer, Sven; Linderoth, Jeff; Luedtke, James; Mahajan, Ashutosh 115 2013 On perspective functions and vanishing constraints in mixed-integer nonlinear optimal control. Zbl 1320.49011 Jung, Michael N.; Kirches, Christian; Sager, Sebastian 12 2013 A parametric active-set method for qps with vanishing constraints arising in a robot motion planning problem. Zbl 1270.90042 Kirches, Christian; Potschka, Andreas; Bock, Hans Georg; Sager, Sebastian 11 2013 TACO: a toolkit for AMPL control optimization. Zbl 1302.49043 Kirches, Christian; Leyffer, Sven 4 2013 Combinatorial integral approximation. Zbl 1220.90073 Sager, Sebastian; Jung, Michael; Kirches, Christian 31 2011 Fast numerical methods for mixed-integer nonlinear model-predictive control. Zbl 1312.65101 Kirches, Christian 19 2011 Block-structured quadratic programming for the direct multiple shooting method for optimal control. Zbl 1226.90139 Kirches, Christian; Bock, Hans Georg; Schlöder, Johannes P.; Sager, Sebastian 9 2011 A factorization with update procedures for a KKT matrix arising in direct optimal control. Zbl 1276.90046 Kirches, Christian; Bock, Hans Georg; Schlöder, Johannes P.; Sager, Sebastian 5 2011 Time-optimal control of automobile test drives with gear shifts. Zbl 1204.49033 Kirches, Christian; Sager, Sebastian; Bock, Hans Georg; Schlöder, Johannes P. 23 2010 Fast nonlinear model predictive control with an application in automotive engineering. Zbl 1195.93036 Albersmeyer, Jan; Beigel, Dörte; Kirches, Christian; Wirsching, Leonard; Bock, Hans Georg; Schlöder, Johannes P. 1 2009 all cited Publications top 5 cited Publications all top 5 Cited by 541 Authors 17 Sager, Sebastian 16 Kirches, Christian 13 Diehl, Moritz Mathias 13 Manns, Paul 8 Leyffer, Sven 7 Quirynen, Rien 6 Bock, Hans Georg 6 Potschka, Andreas 6 Schmidt, Martin 5 Lodi, Andrea 5 Morari, Manfred 5 Rinaldi, Francesco 5 Sagratella, Simone 5 Zeile, Clemens 4 D’Ambrosio, Claudia 4 Hante, Falk M. 4 Misener, Ruth 4 Pfetsch, Marc E. 4 Stein, Oliver 4 Wu, Xiang 4 Zhang, Kanjian 3 Bemporad, Alberto 3 Boyd, Stephen Poythress 3 Burlacu, Robert 3 Deng, Haoyang 3 Gerdts, Matthias 3 Göttlich, Simone 3 Gros, Sebastien 3 Hahn, Mirko 3 Hazimeh, Hussein 3 Hoheisel, Tim 3 Kleinert, Thomas 3 Linderoth, Jeff T. 3 Lubin, Miles 3 Luedtke, James R. 3 Mazumder, Rahul 3 Neumann, Christoph 3 Ohtsuka, Toshiyuki 3 Schewe, Lars 3 Sirvent, Mathias 3 Ulbrich, Stefan 3 Vielma, Juan Pablo 3 Volkwein, Stefan 3 Wollner, Winnifried 3 Zanelli, Andrea 3 Zanon, Mario 2 Achtziger, Wolfgang 2 Ahmadi Javid, Amir 2 Atamtürk, Alper 2 Benamar, Faiz 2 Bent, Russell W. 2 Bertsimas, Dimitris John 2 Biegler, Lorenz T. 2 Buchheim, Christoph 2 Chen, Chen 2 Chen, Yu 2 Cheng, Ming 2 de Oliveira, Welington Luis 2 De Santis, Marianna 2 Domahidi, Alexander 2 Du, Wenqian 2 Engell, Sebastian 2 Floudas, Christodoulos Achilleus 2 Frison, Gianluca 2 García-Palomares, Ubaldo M. 2 Garmatter, Dominik 2 Gerksic, Samo 2 Gleixner, Ambros M. 2 Goulart, Paul J. 2 Grossmann, Ignacio E. 2 Havlena, Vladimír 2 Hendrix, Eligius M. T. 2 Hoseinpour, Pooya 2 Hu, Qingjie 2 Janka, Dennis 2 Jerez, Juan Luis 2 Jung, Michael Norman Helmut Gerhard 2 Kanzow, Christian 2 Khare, Abeka 2 Khor, Cheng Seong 2 Kılınç, Mustafa R. 2 Kouzoupis, Dimitris 2 Krug, Richard 2 Kungurtsev, Vyacheslav 2 Lenders, Felix 2 Li, Shurong 2 Liu, Zhe 2 Mahoney, Michael W. 2 Martin, Alexander 2 Mertens, Nick 2 Michaels, Dennis 2 Moehle, Nicholas 2 Nath, Triloki 2 Nowak, Ivo 2 Palkar, Prashant 2 Pecci, Filippo 2 Perne, Matija 2 Porcelli, Margherita 2 Pregelj, Boštjan 2 Robuschi, Nicolò ...and 441 more Authors all top 5 Cited in 72 Serials 24 Mathematical Programming. Series A. Series B 24 Computational Optimization and Applications 16 Automatica 16 Optimization and Engineering 16 Mathematical Programming Computation 12 Optimization Methods & Software 9 Journal of Global Optimization 9 SIAM Journal on Optimization 6 International Journal of Control 6 SIAM Journal on Control and Optimization 6 Optimal Control Applications & Methods 6 Optimization Letters 5 Journal of Optimization Theory and Applications 5 Optimization 4 European Journal of Operational Research 4 International Journal of Robust and Nonlinear Control 4 INFORMS Journal on Computing 4 Multibody System Dynamics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Vietnam Journal of Mathematics 2 Computers & Mathematics with Applications 2 The Annals of Statistics 2 Operations Research 2 SIAM Journal on Numerical Analysis 2 Annals of Operations Research 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 SIAM Journal on Scientific Computing 2 Top 2 International Transactions in Operational Research 2 Mathematical Methods of Operations Research 2 Set-Valued and Variational Analysis 2 EURO Journal on Computational Optimization 1 Artificial Intelligence 1 Inverse Problems 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Mathematical Biosciences 1 Physica A 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Fuzzy Sets and Systems 1 Journal of Computational and Applied Mathematics 1 Mathematics of Operations Research 1 Numerical Functional Analysis and Optimization 1 Systems & Control Letters 1 Bulletin of the Iranian Mathematical Society 1 Computers & Operations Research 1 Journal of Scientific Computing 1 YUJOR. Yugoslav Journal of Operations Research 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Computational and Applied Mathematics 1 The Journal of Artificial Intelligence Research (JAIR) 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Machine Learning Research (JMLR) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 4OR 1 Acta Numerica 1 Journal of Industrial and Management Optimization 1 Engineering Optimization 1 GAMM-Mitteilungen 1 Nonlinear Analysis. Hybrid Systems 1 Algorithms 1 International Journal of Differential Equations 1 Asian Journal of Control 1 Biomath 1 Computational Methods for Differential Equations 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Cited in 21 Fields 208 Operations research, mathematical programming (90-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 58 Systems theory; control (93-XX) 54 Numerical analysis (65-XX) 14 Computer science (68-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Partial differential equations (35-XX) 8 Statistics (62-XX) 7 Ordinary differential equations (34-XX) 5 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year