Univ.-Prof. Dr. rer. nat. Rainer Tichatschke
Mathematik, Universität Trier
- 0651/201-3481
- 0651/201-3952
Tichatschke, R.; Kaplan, A.; A., Seeger
Some results about proximal-like methodsLecture Notes in Economics and Mathematical Systems Recent Advances in Optimization. Bd. Lecture Notes in Economics and Mathematical Systems Recent Advances in Optimization. Berlin - heidelberg - New York: Springer 2006 S. 61 - 86
Kaplan, A.; Tichatschke, R.
Extended auxiliary problem principle to variational inequalities involving multi-valued operatorsOptimization. a journal of mathematical programming and operations research. Bd. 53. H. 3. Reading [u.a]: Taylor & Francis 2004 S. 223 - 252
Kaplan, A.; Tichatschke, R.
Extended auxiliary problem principle using Bregman distancesOptimization. a journal of mathematical programming and operations research. Bd. 53. H. 5. Reading [u.a]: Taylor & Francis 2004 S. 603 - 624
Kaplan, A.; Tichatschke, R.
Interior Proximal Method for Variational Inequalities: Case of Nonparamonotone OperatorsSet-valued analysis. an international journal devoted to the theory of multifunctions and its applications. Bd. 12. H. 4. Dordrecht [u.a.]: Kluwer Academic Publ. 2004 S. 357 - 382
Kaplan, A.; Tichatschke, R.
On inexact generalized proximal methods with a weakened error tolerance criterionOptimization. a journal of mathematical programming and operations research. Bd. 53. H. 1. Reading [u.a]: Taylor & Francis 2003 S. 3 - 18
Tichatschke, R.; Sachs, E.W.
System Modelling and Optimization XXTichatschke, R.; Sachs, E.W. (Hrsg). IFIP TC7 20th Conference on System Modeling and Optimization, July 23-27, 2001, Trier, Germany. Kluwer Academic Publ. 2003
Tichatschke, R.; Kaplan, A.
A general view on proximal point methods to variational inequalities in Hilbert spaces - Iterative regularization and approximationJ. Nonlinear and Convex Analysis. Bd. J. Nonlinear and Convex Analysis. Yokohama Publ. 2002 S. 305 - 332
Kaplan, Alexander; Tichatschke, Rainer
Convergence analysis of non-quadratic proximal methods for variational inequalities in Hilbert spacesJournal of global optimization. an international journal dealing with theoretical and computational aspects of seeking global optima and their applications in science, management and engineering. Bd. 22. H. 1. Dordrecht: Kluwer 2002 S. 119 - 136
Tichatschke, R.; Kaplan, A.; Voetmann, T. et al.
Numerical treatment of an asset price model with non-stochastic uncertaintyTOP. Bd. TOP. 2002 S. 1 - 50
Tichatschke, R.; Kaplan, A.
Proximal-based regularization methods and a successive approximation of variational inequalities in Hilbert spacesControl and Cybernetics. Bd. Control and Cybernetics. 2002 S. 521 - 544
Tichatschke, R.; Kaplan, A.
Weak error tolerance criterion in generalized proximal methods2002 S. 1 - 10
Tichatschke, R.; Kaplan, A.
Interior proximal method for variational inequalities: Case of non-paramonotone operators2001 S. pp. 15
Tichatschke, R.; Kaplan, A.
Proximal interior point methods for convex semi-infinite programmingOptimization Methods and Software. Bd. Optimization Methods and Software. Gordon and Breach 2001 S. 87 - 119
Tichatschke, R.; Kaplan, A.; Gilbert, G. et al.
Proximal methods for variational inequalities with set-valued monotone operatorsGilbert, G.; Panagiotopoulos, P.D.; Pardalos, P. (Hrsg). From Convexity to Nonconvexity. Kluwer Acad. Publ. 2001 S. 345 - 361
Kaplan, A.; Tichatschke, R.
Proximal Point Approach and Approximation of Variational InequalitiesSIAM journal on control and optimization. a publication of the Society for Industrial and Applied Mathematics. Bd. 39. H. 4. Philadelphia, Pa.: Soc. 2001 S. 1136 - 1159
Tichatschke, R.; Hettich, R.; Kaplan, A. et al.
Semi-infinite Programming - Methods for nonlinear problemsFloudas, C.A.; Pardalos, P.M. (Hrsg). Encyclopedia of Optimization. 2001 S. 112 - 117
Kaplan, A.; Tichatschke, R.
Auxiliary Problem Principle and Proximal Point MethodsJournal of global optimization. an international journal dealing with theoretical and computational aspects of seeking global optima and their applications in science, management and engineering. Bd. 17. H. 1. Dordrecht: Kluwer 2000 S. 201 - 224
Tichatschke, R.; Kaplan, A.; Thera, M.
Auxiliary problem principle and the approximation of variational inequalities with non-symmetric multi-valued operatorsCanadian Math. Soc. Conference Proc. Series. Bd. Canadian Math. Soc. Conference Proc. Series. 2000 S. 185 - 209
Théra, Michel A.; Tichatschke, Rainer
Ill-posed variational problems and regularization techniquesBerlin [u.a.]: Springer 1999 0 S. (Lecture notes in economics and mathematical systems ; 477)
Kaplan, A.; Tichatschke, R.
Proximal Interior Point Approach in Convex Programming (III-Posed Problems)Optimization. a journal of mathematical programming and operations research. Bd. 45. H. 1. Reading [u.a]: Taylor & Francis 1999 S. 117 - 148
Tichatschke, R.; Kaplan, A.
Stable solution of variational inequalities with composed monotone operatorsLecture Notes in Economics and Mathematical Systems. Bd. Lecture Notes in Economics and Mathematical Systems. Springer 1999 S. 111 - 136
Tichatschke, R.; Kaplan, A.
Proximal interior point approach for solving convex semi-infinite programming problemsTrier. 1998
Kaplan, A.; Tichatschke, R.
Proximal Methods in View of Interior-Point StrategiesJournal of optimization theory and applications. JOTA. Bd. 98. H. 2. Dordrecht [u.a.]: Springer Science + Business Media 1998 S. 399 - 430
Tichatschke, R.; Kaplan, A.; Desch, W. et al.
Proximal penalty methods for ill-posed parabolic control problemsDesch, W.; Kappel, F.; Kunisch, K. (Hrsg). Control and Estimation of Distributed Parameter Systems. Basel, Boston, Berlin: Birkhäuser 1998 S. 169 - 182
Kaplan, A.; Tichatschke, R.
Proximal Point Methods and Nonconvex OptimizationJournal of global optimization. an international journal dealing with theoretical and computational aspects of seeking global optima and their applications in science, management and engineering. Bd. 13. H. 4. Dordrecht: Kluwer 1998 S. 389 - 406
Rotin, S.; Tichatschke, Rainer
Regularisierte Strafmethoden für inkorrekt gestellte Kontrollprobleme mit linearen ZustandsgleichungenTrier: FB 4, Mathematik-Informatik, Univ. 1998 39 S. (Trierer Forschungsberichte ; 98-02)
Tichatschke, R.; Kaplan, A.; Gritzmann, P. et al.
Multi-step Proximal methods for variational inequalities with monotone operatorsGritzmann, P.; Horst, R.; Sachs, E.; Tichatschke, R. (Hrsg). Recent Advances in Optimization. Springer Verlag 1997 S. 138 - 153
Kaplan, A.; Tichatschke, R.
On the Numerical Treatment of a Class of Semi-Infinite Terminal ProblemsOptimization. a journal of mathematical programming and operations research. Bd. 41. H. 1. Reading [u.a]: Taylor & Francis 1997 S. 1 - 36
Kaplan, Alexander; Tichatschke, Rainer
Prox-regularization and solution of ill-posed elliptic variational inequalitiesAplikace matematiky. Bd. 42. H. 2. Praha: Akademia 1997 S. 111 - 146
Sachs, E.
Recent Advances in OptimizationSachs, E. (Hrsg). Springer 1997
Kaplan, A.; Tichatschke, Rainer
Regularized penalty method for parabolic optimal control problemsTrier: Univ., Fachbereich Mathematik, Informatik 1997 23 S. (Forschungsbericht ; 97-10)
Tichatschke, R.; Kaplan, A.; Hettich, R.
Regularized Penalty Methods for Ill-Posed Optimal Control with Elliptic Equations, (Part I: Distributed control with bounded control set and state constraints)Control and Cybernetics. Bd. Control and Cybernetics. 1997 S. 5 - 27
Tichatschke, R.; Kaplan, A.; Hettich, R.
Regularized Penalty Methods for Ill-Posed Optimal Control with Elliptic Systems, (Part II: Distributed and boundary control, unbounded control set)Control and Cybernetics. Bd. Control and Cybernetics. 1997 S. 29 - 43
Kaplan, A.; Tichatschke, Rainer
Stable methods for variational inequalities with set-valued monotone operatorsTrier: Univ., Fachbereich Mathematik, Informatik 1997 26 S. (Forschungsbericht ; 97-07)
Levitin, Evgenij S.; Tichatschke, Rainer
A branch and bound approach for solving a class of generalized semi-infinite programming problemsTrier: Fachbereich IV, Mathematik, Informatik, Univ. 1996 19 S. (Trierer Forschungsberichte ; 96-34)
Levitin, Evgenij S.; Tichatschke, Rainer
On smoothing of generalized max-functions via e-regularizationTrier: Univ., Fachbereich Mathematik, Informatik 1996 14 S. (Forschungsbericht ; 96-14)
Tichatschke, R.; Kaplan, A.
Non-quadratic proximal regularization with application to variational inequalities in Hilbert spacesS. pp. 20
Tichatschke, R.; Kaplan, A.; Voetmann, T. et al.
Numerical solution of control problems under uncertainty and perturbation of input data with applications in financeS. pp. 38