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Bank, Bernd (b. 1941 d. 2024)

Author ID: bank.bernd Recent zbMATH articles by "Bank, Bernd"
Published as: Bank, Bernd; Bank, B.
Homepage: https://www.mathematik.hu-berlin.de/en/people/mem-vz/1921
External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef
Documents Indexed: 38 Publications since 1970, including 4 Books
3 Contributions as Editor
Reviewing Activity: 8 Reviews
Co-Authors: 30 Co-Authors with 37 Joint Publications
511 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 530 times in 388 Documents Cited by Year
Non-linear parametric optimization. Licensed ed. Zbl 0502.49002
Bank, B.; Guddat, J.; Klatte, D.; Kummer, B.; Tammer, K.
261
1983
Theorie der linearen parametrischen Optimierung. Zbl 0284.90053
Nožička, František; Guddat, Jürgen; Hollatz, Horst; Bank, Bernd
50
1974
Parametric integer optimization. Zbl 0643.90043
Bank, B.; Mandel, R.
33
1988
Polar varieties and efficient real elimination. Zbl 1073.14554
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
31
2001
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
30
2010
Generalized polar varieties: geometry and algorithms. Zbl 1085.14047
Bank, B.; Giusti, M.; Heintz, J.; Pardo, Luis M.
27
2005
Polar varieties, real equation solving, and data structures: the hypersurface case. Zbl 0872.68066
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
26
1997
Generalized polar varieties and an efficient real elimination. Zbl 1249.14019
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis M.
20
2004
Intrinsic complexity estimates in polynomial optimization. Zbl 1302.65296
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab
9
2014
Stability of mixed-integer quadratic programming problems. Zbl 0549.90076
Bank, Bernd; Hansel, Rainer
7
1984
Degeneracy loci and polynomial equation solving. Zbl 1341.14022
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lecerf, Grégoire; Matera, Guillermo; Solernó, Pablo
6
2015
Algorithms of intrinsic complexity for point searching in compact real singular hypersurfaces. Zbl 1246.14071
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lehmann, Lutz; Pardo, Luis Miguel
6
2012
On the intrinsic complexity of point finding in real singular hypersurfaces. Zbl 1206.68136
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel
5
2009
Quiz games as a model for information hiding. Zbl 1352.68084
Bank, Bernd; Heintz, Joos; Matera, Guillermo; Montaña, José Luis; Pardo, Luis M.; Rojas Paredes, Andrés
3
2016
Stability analysis in pure and mixed-integer linear programming. Zbl 0444.90093
Bank, B.
3
1980
Bipolar varieties and real solving of a singular polynomial equation. Zbl 1246.14072
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel
3
2010
Point searching in real singularcomplete intersection varieties: algorithms of intrinsic complexity. Zbl 1281.68239
Bank, Bernd; Giusti, Marc; Heintz, Joos
2
2014
Qualitative Stabilitätsuntersuchungen rein- und gemischt-ganzzahliger linearer parametrischer Optimierungsprobleme. Zbl 0413.90071
Bank, Bernd
2
1978
Une borne géométrique pour la programmation entière à contraintes polynomiales. (A geometrical bound for integer programming with polynomial constraints). Zbl 0692.90074
Bank, Bernd; Heintz, Joos; Krick, Teresa; Mandel, Reinhard; Solernó, Pablo
1
1990
Nonlinear parametric integer programming. Zbl 0696.90041
Bank, Bernd; Mandel, Reinhard
1
1988
Nonlinear parametric integer programming. Zbl 0636.90065
Bank, Bernd; Mandel, Reinhard
1
1987
(Mixed-) Integer solutions of quasiconvex polynomial inequalities. Zbl 0657.90071
Bank, Bernd; Mandel, Reinhard
1
1988
Polar varieties and efficient real equation solving: The hypersurface case. Zbl 0944.12005
Bank, B.; Giusti, M.; Heintz, J.; Mandel, R.; Mbakop, G. M.
1
1997
Advances in mathematical optimization. Invited papers dedicated to Prof. Dr. h. c. F. Nožička on occasion of his 70th birthday. Zbl 0649.00015
1
1988
Quiz games as a model for information hiding. Zbl 1352.68084
Bank, Bernd; Heintz, Joos; Matera, Guillermo; Montaña, José Luis; Pardo, Luis M.; Rojas Paredes, Andrés
3
2016
Degeneracy loci and polynomial equation solving. Zbl 1341.14022
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lecerf, Grégoire; Matera, Guillermo; Solernó, Pablo
6
2015
Intrinsic complexity estimates in polynomial optimization. Zbl 1302.65296
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab
9
2014
Point searching in real singularcomplete intersection varieties: algorithms of intrinsic complexity. Zbl 1281.68239
Bank, Bernd; Giusti, Marc; Heintz, Joos
2
2014
Algorithms of intrinsic complexity for point searching in compact real singular hypersurfaces. Zbl 1246.14071
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lehmann, Lutz; Pardo, Luis Miguel
6
2012
On the geometry of polar varieties. Zbl 1186.14060
Bank, Bernd; Giusti, Marc; Heintz, Joos; Safey El Din, Mohab; Schost, Eric
30
2010
Bipolar varieties and real solving of a singular polynomial equation. Zbl 1246.14072
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel
3
2010
On the intrinsic complexity of point finding in real singular hypersurfaces. Zbl 1206.68136
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis Miguel
5
2009
Generalized polar varieties: geometry and algorithms. Zbl 1085.14047
Bank, B.; Giusti, M.; Heintz, J.; Pardo, Luis M.
27
2005
Generalized polar varieties and an efficient real elimination. Zbl 1249.14019
Bank, Bernd; Giusti, Marc; Heintz, Joos; Pardo, Luis M.
20
2004
Polar varieties and efficient real elimination. Zbl 1073.14554
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
31
2001
Polar varieties, real equation solving, and data structures: the hypersurface case. Zbl 0872.68066
Bank, B.; Giusti, M.; Heintz, J.; Mbakop, G. M.
26
1997
Polar varieties and efficient real equation solving: The hypersurface case. Zbl 0944.12005
Bank, B.; Giusti, M.; Heintz, J.; Mandel, R.; Mbakop, G. M.
1
1997
Une borne géométrique pour la programmation entière à contraintes polynomiales. (A geometrical bound for integer programming with polynomial constraints). Zbl 0692.90074
Bank, Bernd; Heintz, Joos; Krick, Teresa; Mandel, Reinhard; Solernó, Pablo
1
1990
Parametric integer optimization. Zbl 0643.90043
Bank, B.; Mandel, R.
33
1988
Nonlinear parametric integer programming. Zbl 0696.90041
Bank, Bernd; Mandel, Reinhard
1
1988
(Mixed-) Integer solutions of quasiconvex polynomial inequalities. Zbl 0657.90071
Bank, Bernd; Mandel, Reinhard
1
1988
Advances in mathematical optimization. Invited papers dedicated to Prof. Dr. h. c. F. Nožička on occasion of his 70th birthday. Zbl 0649.00015
1
1988
Nonlinear parametric integer programming. Zbl 0636.90065
Bank, Bernd; Mandel, Reinhard
1
1987
Stability of mixed-integer quadratic programming problems. Zbl 0549.90076
Bank, Bernd; Hansel, Rainer
7
1984
Non-linear parametric optimization. Licensed ed. Zbl 0502.49002
Bank, B.; Guddat, J.; Klatte, D.; Kummer, B.; Tammer, K.
261
1983
Stability analysis in pure and mixed-integer linear programming. Zbl 0444.90093
Bank, B.
3
1980
Qualitative Stabilitätsuntersuchungen rein- und gemischt-ganzzahliger linearer parametrischer Optimierungsprobleme. Zbl 0413.90071
Bank, Bernd
2
1978
Theorie der linearen parametrischen Optimierung. Zbl 0284.90053
Nožička, František; Guddat, Jürgen; Hollatz, Horst; Bank, Bernd
50
1974
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Cited by 506 Authors

22 Dempe, Stephan
22 Safey El Din, Mohab
13 Schultz, Rüdiger
12 Goberna, Miguel Angel
12 López-Cerdá, Marco Antonio
11 Heintz, Joos
10 Mehlitz, Patrick
9 Bank, Bernd
9 Schost, Éric
8 Giusti, Marc
8 Morgan, Jacqueline
8 Römisch, Werner
8 Vera de Serio, Virginia N.
7 Cánovas, María Josefa
7 Klatte, Diethard
7 Obuchowska, Wiesława T.
7 Pardo, Luis Miguel
7 Parra, Juan
7 Zlobec, Sanjo
6 Chen, Zhiping
6 Hladík, Milan
6 Lignola, Maria Beatrice
5 Crema, Alejandro
5 Weber, Gerhard-Wilhelm
4 Henrion, Didier
4 Henrion, René
4 Matera, Guillermo
4 Mitsos, Alexander
4 Naldi, Simone
4 Stein, Oliver
4 Van Ackooij, Wim
4 Vogel, Silvia
4 Vu, Thi Xuan
3 Barton, Paul I.
3 Claus, Matthias
3 Eichfelder, Gabriele
3 Facchinei, Francisco
3 Fiacco, Anthony V.
3 Franke, Susanne
3 Gfrerer, Helmut
3 Gisbert, María Jesús
3 Han, Youpan
3 Helbig, Siegfried
3 Huang, Nan-Jing
3 Ivanov Todorov, Maxim
3 Krick, Teresa
3 Kummer, Bernd
3 Kyparisis, Jerzy
3 Labahn, George
3 Lebedeva, T. T.
3 Lecerf, Grégoire
3 Lee, Gue Myung
3 Mentagui, Driss
3 Penot, Jean-Paul
3 Phạm Tiên So’n
3 Poore, Aubrey B.
3 Raković, Saša V.
3 Sergiyenko, Ivan Vasyl’ovych
3 Still, Georg J.
3 Tam, Nguyen Nang
3 Wachsmuth, Gerd
3 Xu, Huifu
3 Zhang, Feng
3 Zhi, Lihong
2 Aboussoror, Abdelmalek
2 Allende Alonso, Sira Maria
2 Amaya, Jorge
2 Baes, Michel
2 Basu, Saugata
2 Benita, Francisco
2 Cafure, Antonio
2 Černý, Michal
2 Chen, Chunrong
2 Chen, Jiawei
2 Daniilidis, Aris
2 Dentcheva, Darinka
2 Dinh The Luc
2 Dupačová, Jitka
2 Faugère, Jean-Charles
2 Gadhi, Nazih Abderrazzak
2 Gal, Tomas
2 Ghaffari Hadigheh, Alireza
2 Gorokhovik, Valentin Vikent’evich
2 Gotzes, Uwe
2 Grygarova, Libuse
2 Guddat, Jürgen
2 Guo, Feng
2 Harder, Felix
2 Hauenstein, Jonathan D.
2 Jongen, Hubertus Th.
2 Jourani, Abderrahim
2 Kalashnikov, Vyacheslav Vitalievich
2 Kozeratskaya, L. N.
2 Lachout, Petr
2 Lalitha, C. S.
2 Lampariello, Lorenzo
2 Leovey, Hernan
2 Li, Shengjie
2 Magron, Victor
2 Morari, Manfred
...and 406 more Authors
all top 5

Cited in 97 Serials

30 Journal of Optimization Theory and Applications
22 Optimization
21 European Journal of Operational Research
21 Mathematical Programming. Series A. Series B
18 Journal of Global Optimization
16 Journal of Symbolic Computation
15 SIAM Journal on Optimization
14 Mathematical Methods of Operations Research
11 Journal of Mathematical Analysis and Applications
11 Journal of Complexity
10 Kybernetika
10 Annals of Operations Research
9 Computational Optimization and Applications
7 Automatica
6 Aplikace Matematiky
6 Journal of Computational and Applied Mathematics
6 Mathematical Programming
6 Numerical Functional Analysis and Optimization
6 Operations Research Letters
6 Optimization Letters
6 Set-Valued and Variational Analysis
4 Discrete & Computational Geometry
4 ZOR. Zeitschrift für Operations Research
3 Computers & Mathematics with Applications
3 Cybernetics
3 OR Spektrum
3 Linear Algebra and its Applications
3 Set-Valued Analysis
3 CEJOR. Central European Journal of Operations Research
3 Foundations of Computational Mathematics
3 Journal of Industrial and Management Optimization
2 Discrete Applied Mathematics
2 Mathematics of Computation
2 Applied Mathematics and Computation
2 Applied Mathematics and Optimization
2 Mathematics of Operations Research
2 Applicable Algebra in Engineering, Communication and Computing
2 Cybernetics and Systems Analysis
2 Applied Mathematics. Series B (English Edition)
2 Computational and Applied Mathematics
2 Finite Fields and their Applications
2 Journal of Convex Analysis
2 Mathematical Problems in Engineering
2 Mathematical Finance
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 RAIRO. Operations Research
2 Journal of Systems Science and Complexity
1 Information Processing Letters
1 Journal of Mathematical Biology
1 Annales de l’Institut Fourier
1 BIT
1 Bulletin de la Société Mathématique de France
1 Computing
1 Fuzzy Sets and Systems
1 Information Sciences
1 International Journal for Numerical Methods in Engineering
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Journal of Economic Theory
1 Journal of Mathematical Economics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Theoretical Computer Science
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Computers & Operations Research
1 Asia-Pacific Journal of Operational Research
1 Journal of Economic Dynamics & Control
1 Applied Mathematics Letters
1 Queueing Systems
1 Computational Mathematics and Modeling
1 Multidimensional Systems and Signal Processing
1 Japan Journal of Industrial and Applied Mathematics
1 Applications of Mathematics
1 Numerical Algorithms
1 Zeitschrift für Operations Research. Serie A: Theorie
1 Expositiones Mathematicae
1 International Journal of Robust and Nonlinear Control
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Filomat
1 The Electronic Journal of Combinatorics
1 Top
1 Taiwanese Journal of Mathematics
1 International Game Theory Review
1 Decisions in Economics and Finance
1 Journal of Algebra and its Applications
1 Computational Management Science
1 Naval Research Logistics Quarterly
1 Discrete and Continuous Dynamical Systems. Series S
1 Foundations and Trends in Machine Learning
1 Journal of Theoretical Biology
1 SIAM/ASA Journal on Uncertainty Quantification
1 Nonlinear Analysis. Theory, Methods & Applications
1 Minimax Theory and its Applications
1 SIAM Journal on Applied Algebra and Geometry
1 Ural Mathematical Journal
all top 5

Cited in 37 Fields

289 Operations research, mathematical programming (90-XX)
85 Calculus of variations and optimal control; optimization (49-XX)
56 Numerical analysis (65-XX)
42 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
41 Algebraic geometry (14-XX)
32 Computer science (68-XX)
18 Commutative algebra (13-XX)
12 Convex and discrete geometry (52-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 General topology (54-XX)
11 Systems theory; control (93-XX)
9 Real functions (26-XX)
8 Number theory (11-XX)
7 Probability theory and stochastic processes (60-XX)
6 Operator theory (47-XX)
5 Combinatorics (05-XX)
5 Field theory and polynomials (12-XX)
5 Statistics (62-XX)
4 Mechanics of deformable solids (74-XX)
3 Functional analysis (46-XX)
3 Biology and other natural sciences (92-XX)
3 Information and communication theory, circuits (94-XX)
2 Functions of a complex variable (30-XX)
2 Partial differential equations (35-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Integral transforms, operational calculus (44-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year

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