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Author ID: ratschek.helmut Recent zbMATH articles by "Ratschek, Helmut"
Published as: Ratschek, H.; Ratschek, Helmut
Documents Indexed: 66 Publications since 1969, including 7 Books
1 Contribution as Editor
Reviewing Activity: 193 Reviews
Co-Authors: 7 Co-Authors with 34 Joint Publications
109 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 545 times in 376 Documents Cited by Year
New computer methods for global optimization. Zbl 0648.65049
Ratschek, H.; Rokne, J.
173
1988
Computer methods for the range of functions. Zbl 0584.65019
Ratschek, H.; Rokne, J.
125
1984
Centered forms. Zbl 0456.65019
Ratschek, H.
23
1980
Inclusion functions and global optimization. Zbl 0579.90082
Ratschek, H.
20
1985
Inclusion functions and global optimization. II. Zbl 0644.90074
Moore, R. E.; Ratschek, H.
17
1988
Centered forms for functions in several variables. Zbl 0471.65025
Ratschek, H.; Schröder, G.
13
1981
Interval methods. Zbl 0832.90109
Ratschek, Helmut; Rokne, Jon
11
1995
Linear interval equations. Zbl 0468.65025
Ratschek, H.; Sauer, W.
11
1982
Teilbarkeitskriterien der Intervallarithmetik. Zbl 0237.65032
Ratschek, H.
11
1972
Experiments using interval analysis for solving a circuit design problem. Zbl 0793.90077
Ratschek, H.; Rokne, J.
11
1993
Die binären Systeme der Intervallarithmetik. (The binary systems of interval arithmetic). Zbl 0222.65003
Ratschek, H.
10
1970
Representation of semigroups as systems of compact convex sets. Zbl 0369.20042
Ratschek, H.; Schröder, G.
9
1977
What can interval analysis do for global optimization? Zbl 0752.65054
Ratschek, H.; Voller, R. L.
9
1991
Geometric computations with interval and new robust methods. Applications in computer graphics, GIS and computational geometry. Zbl 1040.65021
Ratschek, Helmut; Rokne, Jon
9
2003
Nichtnumerische Aspekte der Intervallmathematik. Zbl 0303.65039
Ratschek, H.
7
1975
Zentrische Formen. Zbl 0385.65020
Ratschek, H.
7
1978
Efficiency of a global optimization algorithm. Zbl 0636.65060
Ratschek, H.; Rokne, J. G.
7
1987
About the centered form. Zbl 0446.65018
Ratschek, H.; Rokne, J.
7
1980
Die Subdistributivität der Intervallarithmetik. Zbl 0214.40902
Ratschek, H.
7
1971
Über den quasilinearen Raum. Zbl 0344.15004
Ratschek, H.; Schröder, G.
6
1976
Über die Ableitung von intervallwertigen Funktionen. (On the derivative of interval-valued functions). Zbl 0221.65032
Ratschek, H.; Schröder, G.
6
1971
Gleichheit von Produkt und Formalprodukt bei Intervallpolynomen. Zbl 0251.65037
Ratschek, H.
5
1972
Exact computation of Delaunay and power triangulations. Zbl 0954.65013
Gavrilova, Marina; Ratschek, Helmut; Rokne, Jon G.
4
2000
Interval tools for global optimization. Zbl 0728.65060
Ratschek, H.; Rokne, J.
4
1991
Exact computation of the sign of a finite sum. Zbl 0936.65005
Ratschek, Helmut; Rokne, Jon
3
1999
Representation of interval operations by coordinates. Zbl 0435.65039
Ratschek, H.
3
1980
Global optimization over unbounded domains. Zbl 0725.90086
Ratschek, H.; Voller, R. L.
3
1990
Ergebnisse einer Untersuchung über die Struktur von Intervallpolynomen. Zbl 0237.65033
Ratschek, Helmut
3
1972
Test for intersection between plane and box. Zbl 0776.65032
Ratschek, H.; Rokne, J.
2
1993
Über das Produkt von Intervallpolynomen. Zbl 0301.65025
Ratschek, H.
2
1974
Global interval methods for local nonsmooth optimization. Zbl 0946.90085
Görges, Christiane; Ratschek, Helmut
2
1999
Some recent aspects of interval algorithms for global optimization. Zbl 0653.65047
Ratschek, Helmut
2
1988
Über einige intervallarithmetische Grundbegriffe. Zbl 0206.46103
Ratschek, H.
2
1969
Mittelwertsätze für Intervallfunktionen. Zbl 0359.65038
Ratschek, Helmut
1
1977
Die subdirekte Unzerlegbarkeit der Intervallrechnung. Zbl 0367.08003
Ratschek, H.
1
1978
Optimality of the centered form. Zbl 0549.65024
Ratschek, Helmut; Rokne, Jon
1
1980
Optimal approximations in interval analysis. Zbl 0549.65025
Ratschek, Helmut
1
1980
How trivial are reliable box-plane intersections? Zbl 1206.65059
Ratschek, H.; Rokne, J. G.
1
2000
Introduction to the special issue: What can one learn from box-plane intersections? Zbl 0985.65041
Ratschek, Helmut; Rokne, Jon G.
1
2000
Formulas for the width of interval products. Zbl 0844.65039
Ratschek, Helmut; Rokne, Jon G.
1
1995
Universal inclusion structures. Zbl 0483.08001
Ratschek, H.
1
1982
Optimality of the centered form for polynomials. Zbl 0479.41005
Ratschek, H.; Rokne, J.
1
1981
Intervallarithmetik - mit Zirkel und Lineal. Zbl 0277.65022
Ratschek, H.
1
1973
Eigenschaften der von linearen Automaten erkennbaren Worte. Zbl 0272.94027
Ecker, K.; Ratschek, H.
1
1974
Geometric computations with interval and new robust methods. Applications in computer graphics, GIS and computational geometry. Zbl 1040.65021
Ratschek, Helmut; Rokne, Jon
9
2003
Exact computation of Delaunay and power triangulations. Zbl 0954.65013
Gavrilova, Marina; Ratschek, Helmut; Rokne, Jon G.
4
2000
How trivial are reliable box-plane intersections? Zbl 1206.65059
Ratschek, H.; Rokne, J. G.
1
2000
Introduction to the special issue: What can one learn from box-plane intersections? Zbl 0985.65041
Ratschek, Helmut; Rokne, Jon G.
1
2000
Exact computation of the sign of a finite sum. Zbl 0936.65005
Ratschek, Helmut; Rokne, Jon
3
1999
Global interval methods for local nonsmooth optimization. Zbl 0946.90085
Görges, Christiane; Ratschek, Helmut
2
1999
Interval methods. Zbl 0832.90109
Ratschek, Helmut; Rokne, Jon
11
1995
Formulas for the width of interval products. Zbl 0844.65039
Ratschek, Helmut; Rokne, Jon G.
1
1995
Experiments using interval analysis for solving a circuit design problem. Zbl 0793.90077
Ratschek, H.; Rokne, J.
11
1993
Test for intersection between plane and box. Zbl 0776.65032
Ratschek, H.; Rokne, J.
2
1993
What can interval analysis do for global optimization? Zbl 0752.65054
Ratschek, H.; Voller, R. L.
9
1991
Interval tools for global optimization. Zbl 0728.65060
Ratschek, H.; Rokne, J.
4
1991
Global optimization over unbounded domains. Zbl 0725.90086
Ratschek, H.; Voller, R. L.
3
1990
New computer methods for global optimization. Zbl 0648.65049
Ratschek, H.; Rokne, J.
173
1988
Inclusion functions and global optimization. II. Zbl 0644.90074
Moore, R. E.; Ratschek, H.
17
1988
Some recent aspects of interval algorithms for global optimization. Zbl 0653.65047
Ratschek, Helmut
2
1988
Efficiency of a global optimization algorithm. Zbl 0636.65060
Ratschek, H.; Rokne, J. G.
7
1987
Inclusion functions and global optimization. Zbl 0579.90082
Ratschek, H.
20
1985
Computer methods for the range of functions. Zbl 0584.65019
Ratschek, H.; Rokne, J.
125
1984
Linear interval equations. Zbl 0468.65025
Ratschek, H.; Sauer, W.
11
1982
Universal inclusion structures. Zbl 0483.08001
Ratschek, H.
1
1982
Centered forms for functions in several variables. Zbl 0471.65025
Ratschek, H.; Schröder, G.
13
1981
Optimality of the centered form for polynomials. Zbl 0479.41005
Ratschek, H.; Rokne, J.
1
1981
Centered forms. Zbl 0456.65019
Ratschek, H.
23
1980
About the centered form. Zbl 0446.65018
Ratschek, H.; Rokne, J.
7
1980
Representation of interval operations by coordinates. Zbl 0435.65039
Ratschek, H.
3
1980
Optimality of the centered form. Zbl 0549.65024
Ratschek, Helmut; Rokne, Jon
1
1980
Optimal approximations in interval analysis. Zbl 0549.65025
Ratschek, Helmut
1
1980
Zentrische Formen. Zbl 0385.65020
Ratschek, H.
7
1978
Die subdirekte Unzerlegbarkeit der Intervallrechnung. Zbl 0367.08003
Ratschek, H.
1
1978
Representation of semigroups as systems of compact convex sets. Zbl 0369.20042
Ratschek, H.; Schröder, G.
9
1977
Mittelwertsätze für Intervallfunktionen. Zbl 0359.65038
Ratschek, Helmut
1
1977
Über den quasilinearen Raum. Zbl 0344.15004
Ratschek, H.; Schröder, G.
6
1976
Nichtnumerische Aspekte der Intervallmathematik. Zbl 0303.65039
Ratschek, H.
7
1975
Über das Produkt von Intervallpolynomen. Zbl 0301.65025
Ratschek, H.
2
1974
Eigenschaften der von linearen Automaten erkennbaren Worte. Zbl 0272.94027
Ecker, K.; Ratschek, H.
1
1974
Intervallarithmetik - mit Zirkel und Lineal. Zbl 0277.65022
Ratschek, H.
1
1973
Teilbarkeitskriterien der Intervallarithmetik. Zbl 0237.65032
Ratschek, H.
11
1972
Gleichheit von Produkt und Formalprodukt bei Intervallpolynomen. Zbl 0251.65037
Ratschek, H.
5
1972
Ergebnisse einer Untersuchung über die Struktur von Intervallpolynomen. Zbl 0237.65033
Ratschek, Helmut
3
1972
Die Subdistributivität der Intervallarithmetik. Zbl 0214.40902
Ratschek, H.
7
1971
Über die Ableitung von intervallwertigen Funktionen. (On the derivative of interval-valued functions). Zbl 0221.65032
Ratschek, H.; Schröder, G.
6
1971
Die binären Systeme der Intervallarithmetik. (The binary systems of interval arithmetic). Zbl 0222.65003
Ratschek, H.
10
1970
Über einige intervallarithmetische Grundbegriffe. Zbl 0206.46103
Ratschek, H.
2
1969
all top 5

Cited by 407 Authors

36 Rokne, Jon G.
19 Ratschek, Helmut
18 Csendes, Tibor
14 Messine, Frédéric
13 Gazdag-Tóth, Boglárka
13 Lin, Qun
11 Fernandez Hernandez, Jose
11 Hansen, Pierre
9 Nataraj, Paluri S. V.
8 Kearfott, Baker
8 Ozdamar, Linet
7 Floudas, Christodoulos Achilleus
6 Jaumard, Brigitte
6 Pelegrín, Blas
6 Pintér, János D.
5 Audet, Charles
5 Casado, Leocadio G.
5 Jaulin, Luc
5 Kreinovich, Vladik Yakovlevich
5 Markót, Mihály Csaba
5 Mitsos, Alexander
5 Pedamallu, Chandra Sekhar
5 Plastria, Frank
5 Sergeev, Yaroslav Dmitrievich
5 Wolfe, Michael A.
4 Alefeld, Götz E.
4 Barton, Paul I.
4 Grzybowski, Jerzy
4 Ninin, Jordan
4 Scholz, Daniel
4 Sharyĭ, Sergeĭ Petrovich
4 Urbański, Ryszard
3 Bánhelyi, Balázs
3 Bao, Paul G.
3 Carrizosa, Emilio
3 Csallner, András Erik
3 Galperin, Efim A.
3 Grapsa, Theodoula N.
3 Jansson, Christian
3 Markov, Svetoslav Marinovich
3 Najman, Jaromił
3 Nickel, Karl L. E.
3 Ratz, Dietmar
3 Shen, Zuhe
3 Sotiropoulos, Dimitris G.
3 Visweswaran, V.
3 Walter, Eric
3 Xiong, Junjie
3 Xu, Peiliang
3 Zhang, Liansheng
2 Arounassalame, M.
2 Bahoo, Yeganeh
2 Behnke, Henning
2 Belotti, Pietro
2 Bhunia, Asoke Kumar
2 Bompadre, Agustín
2 Burr, Michael A.
2 Cao, Dexin
2 Chachuat, Benoît
2 Chen, Chin-Yun
2 Demirhan, Melek Basak
2 Dian, Jianwei
2 Dobner, Hans-Jürgen
2 Dulikravich, George Stevo
2 Durocher, Stephane
2 Dyllong, Eva
2 García, Inmaculada F.
2 Gavrilova, Marina L.
2 Ge, Renpu
2 Georg, Kurt
2 Goualard, Frédéric
2 Hansen, Eldon Robert
2 Hendrix, Eligius M. T.
2 Hladík, Milan
2 Huang, Chungyuan
2 Hyvönen, Eero
2 Karmakar, Samiran
2 Keil, J. Mark
2 Kubal, Nandkishor
2 Kubica, Bartłomiej Jacek
2 Kulpa, Zenon
2 Lagouanelle, Jean-Louis
2 Le Thi, Hoai An
2 Lohner, Rudolf J.
2 Lu, Shihui
2 Lupulescu, Vasile
2 Maranas, Costas D.
2 Martin, Ralph R.
2 Mayer, Günter
2 Mehrabi, Saeed
2 Mehrpour, Sahar
2 Milanese, Mario
2 Mondal, Debajyoti
2 Neumaier, Arnold
2 Ouanes, Mohand
2 Pallaschke, Diethard
2 Paluri, Nataraj S. V.
2 Panovskiy, V. N.
2 Panteleev, Andreĭ Vladimirovich
2 Pardalos, Panos M.
...and 307 more Authors
all top 5

Cited in 97 Serials

62 Journal of Global Optimization
51 Computing
24 Journal of Computational and Applied Mathematics
18 Reliable Computing
16 Applied Mathematics and Computation
12 Computers & Mathematics with Applications
11 Computers & Operations Research
10 Journal of Optimization Theory and Applications
9 Mathematical Programming. Series A. Series B
7 BIT
6 Fuzzy Sets and Systems
6 European Journal of Operational Research
5 Automatica
5 Annals of Operations Research
4 Computer Aided Geometric Design
4 Numerical Algorithms
4 International Journal of Computer Mathematics
4 Linear Algebra and its Applications
3 Artificial Intelligence
3 Discrete & Computational Geometry
3 Mathematical and Computer Modelling
3 International Journal of Computational Geometry & Applications
3 Applied Mathematical Modelling
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Naval Research Logistics
2 Theoretical Computer Science
2 Applied Numerical Mathematics
2 Journal of Symbolic Computation
2 Journal of Complexity
2 Abstract and Applied Analysis
2 Optimization and Engineering
2 RAIRO. Operations Research
2 Structural and Multidisciplinary Optimization
2 Optimization Letters
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Control
1 International Journal of Systems Science
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Mathematics of Computation
1 ACM Transactions on Mathematical Software
1 Advances in Mathematics
1 Algebra Universalis
1 Aplikace Matematiky
1 Journal of Approximation Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Equations
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 Mathematical Programming
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Opsearch
1 Proceedings of the American Mathematical Society
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Journal of Information & Optimization Sciences
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Applicandae Mathematicae
1 Optimization
1 Computational Mechanics
1 COMPEL
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 Neural Networks
1 Automation and Remote Control
1 Computational Statistics and Data Analysis
1 ZOR. Zeitschrift für Operations Research
1 International Journal of Robust and Nonlinear Control
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Computational Optimization and Applications
1 Computational Economics
1 Journal of Computer and Systems Sciences International
1 Applied Mathematics. Series B (English Edition)
1 Journal of the Egyptian Mathematical Society
1 Top
1 Annals of Mathematics and Artificial Intelligence
1 Constraints
1 ELA. The Electronic Journal of Linear Algebra
1 Mathematical Problems in Engineering
1 European Journal of Control
1 Optimization Methods & Software
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
1 CEJOR. Central European Journal of Operations Research
1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
1 Advances in Geometry
1 Journal of Systems Science and Complexity
1 OR Spectrum
1 SIAM Journal on Applied Dynamical Systems
1 4OR
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Networks and Spatial Economics
1 Engineering Optimization
1 Set-Valued and Variational Analysis
1 Journal of the Operations Research Society of China
1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

Cited in 40 Fields

221 Numerical analysis (65-XX)
190 Operations research, mathematical programming (90-XX)
36 Computer science (68-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
18 Systems theory; control (93-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
12 Approximations and expansions (41-XX)
12 Convex and discrete geometry (52-XX)
11 Real functions (26-XX)
11 Functions of a complex variable (30-XX)
8 Ordinary differential equations (34-XX)
6 Statistics (62-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Functional analysis (46-XX)
4 Mechanics of particles and systems (70-XX)
4 Mechanics of deformable solids (74-XX)
2 Mathematical logic and foundations (03-XX)
2 General algebraic systems (08-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Optics, electromagnetic theory (78-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Partial differential equations (35-XX)
1 Sequences, series, summability (40-XX)
1 Integral equations (45-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Probability theory and stochastic processes (60-XX)
1 Fluid mechanics (76-XX)
1 Geophysics (86-XX)
1 Biology and other natural sciences (92-XX)
1 Mathematics education (97-XX)

Citations by Year