Edit Profile (opens in new tab) Hettich, Rainer Co-Author Distance Author ID: hettich.rainer Published as: Hettich, R.; Hettich, Rainer Documents Indexed: 42 Publications since 1973, including 1 Book 1 Contribution as Editor Reviewing Activity: 1 Review Biographic References: 1 Publication Co-Authors: 10 Co-Authors with 20 Joint Publications 200 Co-Co-Authors all top 5 Co-Authors 13 single-authored 8 Still, Georg J. 5 Zencke, Peter 4 Tichatschke, Rainer 3 Jongen, Hubertus Th. 2 Kaplan, Aleksander A. 2 Ries, Manfred 1 Berges, U. 1 Georg, Kurt 1 Gieler, W. 1 Gugat, Martin 1 Haaren-Retagne, E. 1 Haaren, E. 1 Margraff, G. 1 Sachs, Ekkehard W. 1 Stein, Oliver 1 van Honstede, W. all top 5 Serials 5 Optimization 3 Journal of Approximation Theory 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Control and Cybernetics 2 Mathematical Programming 2 Numerische Mathematik 2 Methods of Operations Research 1 SIAM Journal on Numerical Analysis 1 Wissenschaftliche Zeitschrift. Mathematisch-Naturwissenschaftliche Fakultät 1 SIAM Review 1 ZOR. Zeitschrift für Operations Research 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Lecture Notes in Control and Information Sciences all top 5 Fields 30 Operations research, mathematical programming (90-XX) 26 Numerical analysis (65-XX) 13 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Partial differential equations (35-XX) 4 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 200 times in 154 Documents Cited by ▼ Year ▼ Semi-infinite programming: Theory, methods, and applications. Zbl 0784.90090 Hettich, R.; Kortanek, K. O. 338 1993 Numerische Methoden der Approximation und semi-infiniten Optimierung. Zbl 0481.65033 Hettich, Rainer; Zencke, Peter 86 1982 An implementation of a discretization method for semi-infinite programming. Zbl 0592.90061 Hettich, R. 46 1986 Second order optimality conditions for generalized semi-infinite programming problems. Zbl 0855.90129 Hettich, R.; Still, G. 33 1995 A comparison of some numerical methods for semi-infinite programming. Zbl 0406.90063 Hettich, R. 20 1979 Semi-infinite programming models in robotics. Zbl 0737.90068 Hettich, R.; Still, G. 13 1991 Local convergence of SQP methods in semi-infinite programming. Zbl 0840.65056 Gramlich, G.; Hettich, R.; Sachs, E. W. 13 1995 A note on an implementation of a method for quadratic semi-infinite programming. Zbl 0699.90078 Hettich, R.; Gramlich, G. 13 1990 On quadratically convergent methods for semi-infinite programming. Zbl 0407.90074 Hettich, R.; van Honstede, W. 12 1979 A review of numerical methods for semi-infinite optimization. Zbl 0519.49022 Hettich, Rainer 11 1983 Directional derivatives for the value-function in semi-infinite programming. Zbl 0636.90088 Zencke, P.; Hettich, R. 8 1987 On first and second order conditions for local optima for optimization problems in finite dimensions. Zbl 0393.90078 Hettich, R.; Jongen, H. Th. 8 1977 Connections between generalized, inexact and semi-infinite linear programming. Zbl 0694.90076 Tichatschke, R.; Hettich, R.; Still, G. 7 1989 An algorithm for general restricted rational Chebyshev approximation. Zbl 0706.65003 Hettich, R.; Zencke, P. 7 1990 A Newton-method for nonlinear Chebyshev approximation. Zbl 0357.65009 Hettich, R. 7 1976 Accurate numerical approximations of eigenfrequencies and eigenfunctions of elliptic membranes. Zbl 0626.73098 Hettich, R.; Haaren, E.; Ries, M.; Still, G. 5 1987 Kriterien zweiter Ordnung für lokal beste Approximationen. Zbl 0276.41013 Hettich, R. 4 1974 Optimization under functional constraints (semi-infinite programming) and applications. Zbl 0770.90070 Hettich, Rainer; Gugat, Martin 3 1992 Some recent results in parametric semi-infinite programming. Zbl 0817.90126 Hettich, R. 3 1995 Regularized penalty methods for ill-posed optimal control problems with elliptic equations. I: Distributed control with bounded control set and state constraints. Zbl 0871.49029 Hettich, R.; Kaplan, A.; Tichatschke, R. 3 1997 Regularized penalty methods for ill-posed optimal control problems with elliptic equations. II: Distributed and boundary control with unbounded control set and state constraints. Zbl 0871.49030 Hettich, R.; Kaplan, A.; Tichatschke, R. 3 1997 Kriterien erster und zweiter Ordnung für lokal beste Approximationen bei Problemen mit Nebenbedingungen. Zbl 0303.41021 Hettich, R. 3 1975 On continuous deformations of semi-infinite optimization problems. Zbl 0842.90113 Hettich, Rainer; Jongen, Hubertus Th.; Stein, Oliver 2 1995 Charakterisierung lokaler Pareto-Optima. Zbl 0333.90041 Hettich, R. 2 1976 On the computation of membrane-eigenvalues by semi-infinite programming methods. Zbl 0575.90071 Hettich, R. 2 1985 Nonlinear Chebyshev approximation by H-polynomials. Zbl 0249.41009 Hettich, R.; Wetterling, W. 2 1973 Parametric optimization: Applications and computational methods. Zbl 0594.90080 Hettich, Rainer 2 1986 Local aspects of a method for solving membrane-eigenvalue problems by parametric semi-infinite programming. Zbl 0641.90078 Hettich, Rainer; Still, Georg 2 1987 Semi-infinite programming. Proceedings of a workshop Bad Honnef August 30 - September 1, 1978. Zbl 0398.00021 2 1979 On the local continuity of the Chebyshev operator. Zbl 0484.41036 Hettich, R.; Jongen, H. Th. 2 1981 A software package for semi-infinite optimization. Zbl 0737.65048 Gramlich, G.; Hettich, R. 1 1991 Two case-studies in parametric semi-infinite programming. Zbl 0561.90084 Hettich, R.; Zencke, P. 1 1985 On the numerical stability of simplex-algorithms. Zbl 0631.90037 Georg, Kurt; Hettich, R. 1 1987 Some experiments with Karmarkar’s algorithm for linear programming. Zbl 0658.90063 Hettich, R.; Margraff, G. 1 1988 Numerical methods for nonlinear Chebyshev approximation. Zbl 0434.65005 Hettich, R. 1 1979 A numerical comparison of two approaches to compute membrane eigenvalues by defect minimization. Zbl 0725.65094 Still, G.; Haaren-Retagne, E.; Hettich, R. 1 1991 Regularized penalty methods for ill-posed optimal control problems with elliptic equations. I: Distributed control with bounded control set and state constraints. Zbl 0871.49029 Hettich, R.; Kaplan, A.; Tichatschke, R. 3 1997 Regularized penalty methods for ill-posed optimal control problems with elliptic equations. II: Distributed and boundary control with unbounded control set and state constraints. Zbl 0871.49030 Hettich, R.; Kaplan, A.; Tichatschke, R. 3 1997 Second order optimality conditions for generalized semi-infinite programming problems. Zbl 0855.90129 Hettich, R.; Still, G. 33 1995 Local convergence of SQP methods in semi-infinite programming. Zbl 0840.65056 Gramlich, G.; Hettich, R.; Sachs, E. W. 13 1995 Some recent results in parametric semi-infinite programming. Zbl 0817.90126 Hettich, R. 3 1995 On continuous deformations of semi-infinite optimization problems. Zbl 0842.90113 Hettich, Rainer; Jongen, Hubertus Th.; Stein, Oliver 2 1995 Semi-infinite programming: Theory, methods, and applications. Zbl 0784.90090 Hettich, R.; Kortanek, K. O. 338 1993 Optimization under functional constraints (semi-infinite programming) and applications. Zbl 0770.90070 Hettich, Rainer; Gugat, Martin 3 1992 Semi-infinite programming models in robotics. Zbl 0737.90068 Hettich, R.; Still, G. 13 1991 A software package for semi-infinite optimization. Zbl 0737.65048 Gramlich, G.; Hettich, R. 1 1991 A numerical comparison of two approaches to compute membrane eigenvalues by defect minimization. Zbl 0725.65094 Still, G.; Haaren-Retagne, E.; Hettich, R. 1 1991 A note on an implementation of a method for quadratic semi-infinite programming. Zbl 0699.90078 Hettich, R.; Gramlich, G. 13 1990 An algorithm for general restricted rational Chebyshev approximation. Zbl 0706.65003 Hettich, R.; Zencke, P. 7 1990 Connections between generalized, inexact and semi-infinite linear programming. Zbl 0694.90076 Tichatschke, R.; Hettich, R.; Still, G. 7 1989 Some experiments with Karmarkar’s algorithm for linear programming. Zbl 0658.90063 Hettich, R.; Margraff, G. 1 1988 Directional derivatives for the value-function in semi-infinite programming. Zbl 0636.90088 Zencke, P.; Hettich, R. 8 1987 Accurate numerical approximations of eigenfrequencies and eigenfunctions of elliptic membranes. Zbl 0626.73098 Hettich, R.; Haaren, E.; Ries, M.; Still, G. 5 1987 Local aspects of a method for solving membrane-eigenvalue problems by parametric semi-infinite programming. Zbl 0641.90078 Hettich, Rainer; Still, Georg 2 1987 On the numerical stability of simplex-algorithms. Zbl 0631.90037 Georg, Kurt; Hettich, R. 1 1987 An implementation of a discretization method for semi-infinite programming. Zbl 0592.90061 Hettich, R. 46 1986 Parametric optimization: Applications and computational methods. Zbl 0594.90080 Hettich, Rainer 2 1986 On the computation of membrane-eigenvalues by semi-infinite programming methods. Zbl 0575.90071 Hettich, R. 2 1985 Two case-studies in parametric semi-infinite programming. Zbl 0561.90084 Hettich, R.; Zencke, P. 1 1985 A review of numerical methods for semi-infinite optimization. Zbl 0519.49022 Hettich, Rainer 11 1983 Numerische Methoden der Approximation und semi-infiniten Optimierung. Zbl 0481.65033 Hettich, Rainer; Zencke, Peter 86 1982 On the local continuity of the Chebyshev operator. Zbl 0484.41036 Hettich, R.; Jongen, H. Th. 2 1981 A comparison of some numerical methods for semi-infinite programming. Zbl 0406.90063 Hettich, R. 20 1979 On quadratically convergent methods for semi-infinite programming. Zbl 0407.90074 Hettich, R.; van Honstede, W. 12 1979 Semi-infinite programming. Proceedings of a workshop Bad Honnef August 30 - September 1, 1978. Zbl 0398.00021 2 1979 Numerical methods for nonlinear Chebyshev approximation. Zbl 0434.65005 Hettich, R. 1 1979 On first and second order conditions for local optima for optimization problems in finite dimensions. Zbl 0393.90078 Hettich, R.; Jongen, H. Th. 8 1977 A Newton-method for nonlinear Chebyshev approximation. Zbl 0357.65009 Hettich, R. 7 1976 Charakterisierung lokaler Pareto-Optima. Zbl 0333.90041 Hettich, R. 2 1976 Kriterien erster und zweiter Ordnung für lokal beste Approximationen bei Problemen mit Nebenbedingungen. Zbl 0303.41021 Hettich, R. 3 1975 Kriterien zweiter Ordnung für lokal beste Approximationen. Zbl 0276.41013 Hettich, R. 4 1974 Nonlinear Chebyshev approximation by H-polynomials. Zbl 0249.41009 Hettich, R.; Wetterling, W. 2 1973 all cited Publications top 5 cited Publications all top 5 Cited by 171 Authors 16 Stein, Oliver 12 Still, Georg J. 11 Rückmann, Jan-Joachim 10 Jongen, Hubertus Th. 8 Goberna, Miguel Angel 7 Kostyukova, Olga Ivanova 6 Tchemisova, Tatiana V. 6 Weber, Gerhard-Wilhelm 5 Guerra Vázquez, Francisco 5 Gugat, Martin 5 López-Cerdá, Marco Antonio 5 Nürnberger, Günther 5 Zalmai, G. J. 4 Hettich, Rainer 4 Klatte, Diethard 4 Reemtsen, Rembert M. 4 Tichatschke, Rainer 4 Zhang, Qinghong 3 Fernandes, Edite M. G. P. 3 Gomes, M. Paula S. F. 3 Gómez, Juan Alfredo 3 Günzel, Harald 3 Ivanov Todorov, Maxim 3 Tezel, Aysun 3 Vaz, A. Ismael F. 3 Wang, Changyu 3 Wu, Soon-Yi 2 Aboussoror, Abdelmalek 2 Adly, Samir 2 Bosch, Paul J. 2 Brosowski, Bruno 2 Diehl, Moritz Mathias 2 Grigorieff, Rolf Dieter 2 Henrion, René 2 Houska, Boris 2 Jiménez, Miguel Antonio 2 Jornet, Valentin 2 León, Teresa 2 Mallea-Zepeda, Exequiel 2 Polak, Elijah (Lucien) 2 Shapiro, Alexander 2 Steuermann, Paul 2 Taylan, Pakize 2 Twilt, Frank 2 Vera de Serio, Virginia N. 2 Vercher, Enriqueta 2 Verma, Ram U. 2 Watson, G. Alistair 2 Yang, Qingzhi 2 Yermalinskaya, Svetlana A. 1 Abdelraouf, Mohamed Emad 1 Akteke-Öztürk, Basak 1 Alparslan Gök, Sırma Zeynep 1 Amaya, Jorge 1 Anderson, Edward James 1 Antczak, Tadeusz 1 Aravkin, Aleksandr Y. 1 Ašić, Miroslav D. 1 Beckermann, Bernhard 1 Boldrini, José Luiz 1 Burachik, Regina Sandra 1 Cerulli, Martina 1 Chen, Zhangyou 1 Chen, Zhe 1 Coope, Ian D. 1 D’Ambrosio, Claudia 1 de Gournay, Frédéric 1 den Hertog, Dick 1 Ding, Mingfang 1 Djelassi, Hatim 1 Dorsch, Dominik 1 Eid, Mohamed Husien Mohamed 1 El-Kholy, Nabil Abdel-Ghafar Mohammed 1 Fandom Noubiap, Roger 1 Ferreira, Eugénio C. 1 Fiacco, Anthony V. 1 Filip, Silviu-Ioan 1 Fischer, Thomas 1 Flinth, Axel 1 Fülöp, János 1 Gómez Bofill, Walter 1 Gueddi, Imen 1 Guerra, Francisco 1 Guerreiro, Claudia S. 1 Haaren, E. 1 Han, Daolan 1 Hernández Rebollar, Lidia Aurora 1 Ishizuka, Yo 1 Jian, Jinbao 1 Jonker, Peter 1 Kanzi, Nader 1 Kaplan, Aleksander A. 1 Kirst, Peter 1 Kovačević-Vujčić, Vera V. 1 Küfer, Karl-Heinz 1 Kunert, V. 1 Lai, K. K. 1 Lancho, G. A. 1 Lenes, Eber 1 Leung, T. W. ...and 71 more Authors all top 5 Cited in 56 Serials 20 Journal of Optimization Theory and Applications 17 Optimization 8 Journal of Global Optimization 8 European Journal of Operational Research 7 Numerical Functional Analysis and Optimization 7 Mathematical Programming. Series A. Series B 6 Journal of Computational and Applied Mathematics 5 Top 4 Applied Mathematics and Optimization 4 Mathematical Programming 4 Constructive Approximation 3 Journal of Approximation Theory 3 Annals of Operations Research 3 ZOR. Zeitschrift für Operations Research 3 Mathematical Methods of Operations Research 2 Computers & Mathematics with Applications 2 Numerische Mathematik 2 OR Spektrum 2 Acta Mathematicae Applicatae Sinica. English Series 2 Numerical Algorithms 2 Computational Optimization and Applications 2 Filomat 2 Revista Investigación Operacional 2 Optimization Methods & Software 2 Journal of Industrial and Management Optimization 2 Set-Valued and Variational Analysis 1 Discrete Applied Mathematics 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 The Annals of Statistics 1 BIT 1 Computing 1 Mathematical and Computer Modelling 1 International Journal of Adaptive Control and Signal Processing 1 YUJOR. Yugoslav Journal of Operations Research 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 SIAM Journal on Optimization 1 SIAM Journal on Scientific Computing 1 Set-Valued Analysis 1 Journal of Mathematical Sciences (New York) 1 International Transactions in Operational Research 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Journal of Interdisciplinary Mathematics 1 Communications in Contemporary Mathematics 1 Journal of Systems Science and Complexity 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Computational Management Science 1 Optimization Letters 1 Tbilisi Mathematical Journal 1 Asian Journal of Control 1 EURO Journal on Computational Optimization 1 OJMO. Open Journal of Mathematical Optimization all top 5 Cited in 23 Fields 129 Operations research, mathematical programming (90-XX) 45 Numerical analysis (65-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 20 Approximations and expansions (41-XX) 6 Systems theory; control (93-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Computer science (68-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Citations by Year