Edit Profile (opens in new tab) Hoffmann, Armin Compute Distance To: Compute Author ID: hoffmann.armin Published as: Hoffmann, Armin; Hoffmann, A. External Links: MGP Documents Indexed: 34 Publications since 1978, including 3 Books 3 Contributions as Editor Reviewing Activity: 107 Reviews Co-Authors: 13 Co-Authors with 19 Joint Publications 136 Co-Co-Authors all top 5 Co-Authors 15 single-authored 5 Geletu, Abebe 4 Marx, Bernd 3 Cegielski, Andrzej 3 Ginchev, Ivan G. 3 Hoàng Xuân Phù 3 Li, Pu 2 Hichert, Jens 2 Langholz, Gideon 2 Reinhardt, Rüdiger 2 Vogt, Werner 1 Gerlach, Tobias 1 Klöppel, Michael 1 Metzger, Bob 1 Mynttinen, I. 1 Runge, Erich 1 Schmidt, Patrick all top 5 Serials 9 Wissenschaftliche Zeitschrift der Technischen Hochschule Ilmenau 6 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen 1 International Journal of Control 1 Automatica 1 Mathematische Nachrichten 1 Numerical Functional Analysis and Optimization 1 Optimization 1 European Journal of Operational Research 1 Stochastics and Stochastics Reports 1 SIAM Journal on Optimization 1 Journal of Difference Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Optimization and Engineering 1 Abhandlungen der Akademie der Wissenschaften der DDR all top 5 Fields 19 Operations research, mathematical programming (90-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 8 Systems theory; control (93-XX) 7 Real functions (26-XX) 5 General and overarching topics; collections (00-XX) 5 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 3 General topology (54-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 51 times in 44 Documents Cited by ▼ Year ▼ Approximation of set-valued functions by single-valued one. Zbl 1039.90051Ginchev, Ivan; Hoffmann, Armin 14 2002 Essential supremum and supremum of summable functions. Zbl 0877.49013Phu, H. X.; Hoffmann, A. 8 1996 The distance to the intersection of two convex sets expressed by the distances to each of them. Zbl 0773.52002Hoffmann, Armin 7 1992 An inner-outer approximation approach to chance constrained optimization. Zbl 1387.90170Geletu, Abebe; Hoffmann, Armin; Klöppel, Michael; Li, Pu 7 2017 A conceptual method for solving generalized semi-infinite programming problems via global optimization by exact discontinuous penalization. Zbl 1106.90068Geletu, Abebe; Hoffmann, Armin 4 2004 Convergence speed of an integral method for computing the essential supremum. Zbl 0878.65053Hichert, Jens; Hoffmann, Armin; Hoàng Xuân Phú 2 1997 Lower bounds on the quadratic cost of optimal regulators. Zbl 0382.93050Langholz, G.; Hoffmann, A. 2 1978 A primal-dual integral method in global optimization. Zbl 0977.90050Hichert, Jens; Hoffmann, Armin; Phú, Hoàng Xuân; Reinhardt, Rüdiger 2 2000 Properties of a multiplier-multifunction. I. Zbl 0523.49013Hoffmann, A. 1 1983 The Hausdorff nearest circle to a convex compact set in the plane. Zbl 0916.52001Ginchev, I.; Hoffmann, A. 1 1998 On robustness of set-valued maps and marginal value functions. Zbl 1170.49309Hoffmann, Armin; Geletu, Abebe 1 2005 Chance constrained optimization of elliptic PDE systems with a smoothing convex approximation. Zbl 1451.90105Geletu, Abebe; Hoffmann, Armin; Schmidt, Patrick; Li, Pu 1 2020 Analytic approximation and differentiability of joint chance constraints. Zbl 1428.90104Geletu, A.; Hoffmann, Armin; Li, P. 1 2019 Chance constrained optimization of elliptic PDE systems with a smoothing convex approximation. Zbl 1451.90105Geletu, Abebe; Hoffmann, Armin; Schmidt, Patrick; Li, Pu 1 2020 Analytic approximation and differentiability of joint chance constraints. Zbl 1428.90104Geletu, A.; Hoffmann, Armin; Li, P. 1 2019 An inner-outer approximation approach to chance constrained optimization. Zbl 1387.90170Geletu, Abebe; Hoffmann, Armin; Klöppel, Michael; Li, Pu 7 2017 On robustness of set-valued maps and marginal value functions. Zbl 1170.49309Hoffmann, Armin; Geletu, Abebe 1 2005 A conceptual method for solving generalized semi-infinite programming problems via global optimization by exact discontinuous penalization. Zbl 1106.90068Geletu, Abebe; Hoffmann, Armin 4 2004 Approximation of set-valued functions by single-valued one. Zbl 1039.90051Ginchev, Ivan; Hoffmann, Armin 14 2002 A primal-dual integral method in global optimization. Zbl 0977.90050Hichert, Jens; Hoffmann, Armin; Phú, Hoàng Xuân; Reinhardt, Rüdiger 2 2000 The Hausdorff nearest circle to a convex compact set in the plane. Zbl 0916.52001Ginchev, I.; Hoffmann, A. 1 1998 Convergence speed of an integral method for computing the essential supremum. Zbl 0878.65053Hichert, Jens; Hoffmann, Armin; Hoàng Xuân Phú 2 1997 Essential supremum and supremum of summable functions. Zbl 0877.49013Phu, H. X.; Hoffmann, A. 8 1996 The distance to the intersection of two convex sets expressed by the distances to each of them. Zbl 0773.52002Hoffmann, Armin 7 1992 Properties of a multiplier-multifunction. I. Zbl 0523.49013Hoffmann, A. 1 1983 Lower bounds on the quadratic cost of optimal regulators. Zbl 0382.93050Langholz, G.; Hoffmann, A. 2 1978 all cited Publications top 5 cited Publications all top 5 Cited by 67 Authors 8 Ginchev, Ivan G. 7 Rocca, Matteo 5 Guerraggio, Angelo 4 Wu, Donghua 4 Zheng, Quan 2 Crespi, Giovanni Paolo 2 Geletu, Abebe 2 Heitsch, Holger 2 Henrion, René 2 Hoffmann, Armin 2 Luedtke, James R. 2 Martínez-Legaz, Juan-Enrique 2 Martinón, Antonio 2 Yao, Yirong 2 Yu, Wuyang 1 Abed, Eyad H. 1 Adam, Lukáš 1 Bayraksan, Güzin 1 Bednařík, Dušan 1 Branda, Martin 1 Cánovas, María Josefa 1 Chen, Liu 1 Chen, Peng 1 Cheng, Tai-Chiu Edwin 1 Coulibaly, Adama 1 Crouzeix, Jean-Pierre 1 E., Ning 1 Farshbaf-Shaker, Mohammad Hassan 1 Floudas, Christodoulos Achilleus 1 Ghattas, Omar N. 1 Gounaris, Chrysanthos E. 1 Gugat, Martin 1 Homem-de-Mello, Tito 1 Kannan, Rohit 1 Khoshkhabar-Amiranloo, S. 1 Li, Pu 1 López-Cerdá, Marco Antonio 1 Mai, Van Sy 1 Pang, Jong-Shi 1 Parra, Juan 1 Pastor, Karel 1 Peña-Ordieres, Alejandra 1 Peng, Zheng 1 Phan Quôc Khánh 1 Qiu, Dong 1 Rahimian, Hamed 1 Rao, Vishwas 1 Rubinov, Alexander M. 1 Schropp, Johannes 1 Singer, Ivan 1 Song, Wen 1 Staat, Manfred 1 Stancu-Minasian, Ioan M. 1 Subramanyam, Anirudh 1 Tian, Weiwen 1 Toledo, Fco. Javier 1 Tong, Shanyin 1 Trần, Ngọc Trình 1 Tuan, Nguyen Dinh 1 Van Ackooij, Wim 1 Wächter, Andreas 1 Yang, Xiaoqi 1 Yu, Hongbin 1 Zeng, Wei-Jia 1 Zhang, Liansheng 1 Zhang, Weiquan 1 Zhang, Yu all top 5 Cited in 26 Serials 5 Journal of Mathematical Analysis and Applications 4 Journal of Optimization Theory and Applications 4 Mathematical Programming. Series A. Series B 3 Numerical Functional Analysis and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Mathematics and Mechanics. (English Edition) 2 Optimization 2 Journal of Global Optimization 2 European Journal of Operational Research 2 SIAM Journal on Optimization 1 Automatica 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Control and Optimization 1 Applied Mathematics Letters 1 Annals of Operations Research 1 Applications of Mathematics 1 Top 1 Mathematical Methods of Operations Research 1 European Journal of Mechanics. A. Solids 1 Stochastic Environmental Research and Risk Assessment 1 Journal of Applied Mathematics 1 Set-Valued and Variational Analysis 1 Mathematical Programming Computation 1 Journal of the Operations Research Society of China 1 SIAM/ASA Journal on Uncertainty Quantification 1 SN Operations Research Forum all top 5 Cited in 19 Fields 38 Operations research, mathematical programming (90-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 5 Real functions (26-XX) 5 Numerical analysis (65-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year