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Neumaier, Arnold

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Author ID: neumaier.arnold Recent zbMATH articles by "Neumaier, Arnold"
Published as: Neumaier, Arnold; Neumaier, A.; Neumaier, A
Homepage: http://www.mat.univie.ac.at/~neum/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef
Documents Indexed: 169 Publications since 1974, including 16 Books
all top 5

Serials

15 Journal of Global Optimization
13 Linear Algebra and its Applications
7 Archiv der Mathematik
7 Reliable Computing
5 SIAM Journal on Numerical Analysis
4 Journal of Mathematical Analysis and Applications
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 BIT
4 Computing
4 European Journal of Combinatorics
4 Mathematical Programming. Series A. Series B
3 Journal of Combinatorial Theory. Series A
3 Journal of Computational and Applied Mathematics
3 Mathematische Zeitschrift
3 Combinatorica
3 Vychislitel’nye Tekhnologii
2 Mathematics of Computation
2 ACM Transactions on Mathematical Software
2 Geometriae Dedicata
2 Indagationes Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 SIAM Journal on Matrix Analysis and Applications
2 Numerical Algorithms
2 SIAM Review
2 SIAM Journal on Optimization
2 Encyclopedia of Mathematics and Its Applications
2 Lecture Notes in Computer Science
1 International Journal of Modern Physics B
1 Discrete Mathematics
1 IMA Journal of Numerical Analysis
1 Journal of Statistical Physics
1 Biometrika
1 Fuzzy Sets and Systems
1 Journal of Combinatorics, Information & System Sciences
1 Journal of Combinatorial Theory. Series B
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Sankhyā. Series A. Methods and Techniques
1 SIAM Journal on Algebraic and Discrete Methods
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Graphs and Combinatorics
1 Annals of Operations Research
1 Designs, Codes and Cryptography
1 Journal of the Australian Mathematical Society. Series A
1 Computational Optimization and Applications
1 SIAM Journal on Scientific Computing
1 Top
1 Constraints
1 INFORMS Journal on Computing
1 Soft Computing
1 Mathematical Methods of Operations Research
1 Optimization and Engineering
1 SIAM Journal on Applied Dynamical Systems
1 Acta Numerica
1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge
1 Journal of Statistical Theory and Practice
1 De Gruyter Studies in Mathematical Physics
1 Texts and Monographs in Theoretical Physics

Publications by Year

Citations contained in zbMATH Open

138 Publications have been cited 3,232 times in 2,632 Documents Cited by Year
Distance-regular graphs. Zbl 0747.05073
Brouwer, Andries E.; Cohen, Arjeh M.; Neumaier, Arnold
1989
Interval methods for systems of equations. Zbl 0715.65030
Neumaier, Arnold
287
1990
Derived eigenvalues of symmetric matrices, with applications to distance geometry. Zbl 0706.15009
Neumaier, A.
194
1990
Global optimization by multilevel coordinate search. Zbl 0956.90045
Huyer, Waltraud; Neumaier, Arnold
83
1999
Complete search in continuous global optimization and constraint satisfaction. Zbl 1113.90124
Neumaier, Arnold
77
2004
The graphs with spectral radius between 2 and \(\sqrt{2+\sqrt{5}}\). Zbl 0678.05038
Brouwer, A. E.; Neumaier, A.
55
1989
New techniques for the analysis of linear interval equations. Zbl 0558.65019
Neumaier, Arnold
49
1984
Strongly regular graphs with smallest eigenvalue -m. Zbl 0407.05043
Neumaier, A.
49
1980
Residual inverse iteration for the nonlinear eigenvalue problem. Zbl 0594.65026
Neumaier, A.
45
1985
Solving ill-conditioned and singular linear systems: A tutorial on regularization. Zbl 0913.65032
Neumaier, Arnold
43
1998
The second largest eigenvalue of a tree. Zbl 0495.05044
Neumaier, A.
41
1982
Completely regular codes. Zbl 0754.94010
Neumaier, Arnold
41
1992
A comparison of complete global optimization solvers. Zbl 1099.90001
Neumaier, Arnold; Shcherbina, Oleg; Huyer, Waltraud; Vinkó, Tamás
36
2005
Safe bounds in linear and mixed-integer linear programming. Zbl 1098.90043
Neumaier, Arnold; Shcherbina, Oleg
36
2004
Discrete measures for spherical designs, eutactic stars and lattices. Zbl 0657.10033
Neumaier, A.; Seidel, J. J.
36
1988
Benchmarking global optimization and constraint satisfaction codes. Zbl 1296.90004
Shcherbina, Oleg; Neumaier, Arnold; Sam-Haroud, Djamila; Vu, Xuan-Ha; Nguyen, Tuan-Viet
34
2003
Interval slopes for rational functions and associated centered forms. Zbl 0572.65007
Krawczyk, R.; Neumaier, A.
33
1985
Regular sets and quasi-symmetric 2-designs. Zbl 0497.05014
Neumaier, A.
33
1982
Introduction to numerical analysis. Zbl 0980.65001
Neumaier, Arnold
32
2001
Standardized notation in interval analysis. Zbl 1196.65088
Kearfott, R. B.; Nakao, M. T.; Neumaier, A.; Rump, S. M.; Shary, S. P.; van Hentenryck, P.
31
2010
Molecular modeling of proteins and mathematical prediction of protein structure. Zbl 0939.92013
Neumaier, Arnold
28
1997
Interval analysis on directed acyclic graphs for global optimization. Zbl 1094.65061
Schichl, Hermann; Neumaier, Arnold
28
2005
Taylor forms – use and limits. Zbl 1071.65070
Neumaier, Arnold
27
2003
Interval iteration for zeros of systems of equations. Zbl 0575.65045
Neumaier, A.
27
1985
Some sporadic geometries related to PG(3,2). Zbl 0509.05026
Neumaier, A.
24
1984
A new pivoting strategy for Gaussian elimination. Zbl 0852.65021
Olschowska, Markus; Neumaier, Arnold
24
1996
Linear systems with large uncertainties, with applications to truss structures. Zbl 1117.65063
Neumaier, Arnold; Pownuk, Andrzej
24
2007
On graphs whose spectral radius is bounded by \(\frac{3}{2}\sqrt{2}\). Zbl 1155.05045
Woo, Renee; Neumaier, Arnold
24
2007
Rigorous chaos verification in discrete dynamical systems. Zbl 0783.58047
Neumaier, Arnold; Rage, Thomas
23
1993
A new exact penalty function. Zbl 1101.90070
Huyer, Waltraud; Neumaier, Arnold
23
2003
Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices. Zbl 0569.65021
Neumaier, A.; Varga, R. S.
22
1984
Clouds, fuzzy sets, and probability intervals. Zbl 1055.65062
Neumaier, Arnold
21
2004
Characterization of a class of distance regular graphs. Zbl 0552.05042
Neumaier, A.
20
1985
Exceptional graphs with smallest eigenvalue -2 and related problems. Zbl 0770.05060
Bussemaker, F. C.; Neumaier, A.
20
1992
Estimation of parameters and eigenmodes of multivariate autoregressive models. Zbl 1070.65503
Neumaier, Arnold; Schneider, Tapio
20
2001
Global attractivity of the zero solution for Wright’s equation. Zbl 1301.34094
Bánhelyi, Balázs; Csendes, Tibor; Krisztin, Tibor; Neumaier, Arnold
19
2014
A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations. Zbl 0936.65055
Neumaier, Arnold
19
1999
Exclusion regions for systems of equations. Zbl 1080.65041
Schichl, Hermann; Neumaier, Arnold
18
2004
\(t{1\over 2}\)-designs. Zbl 0433.05012
Neumaier, A.
18
1980
Discrete hyperbolic geometry. Zbl 0523.51016
Neumaier, A.; Seidel, J. J.
17
1983
Distance matrices, dimension, and conference graphs. Zbl 0523.05019
Neumaier, A.
17
1981
Constraint propagation on quadratic constraints. Zbl 1208.68200
Domes, Ferenc; Neumaier, Arnold
17
2010
Overestimation in linear interval equations. Zbl 0617.65024
Neumaier, A.
16
1987
Graph representations, two-distance sets, and equiangular lines. Zbl 0724.05043
Neumaier, A
15
1989
A grid algorithm for bound constrained optimization of noisy functions. Zbl 0831.65063
Elster, Clemens; Neumaier, Arnold
15
1995
Measures of strength \(2e\) and optimal designs of degree \(e\). Zbl 0900.62413
Neumaier, A.; Seidel, J. J.
13
1992
An improved interval Newton operator. Zbl 0602.65033
Krawczyk, R.; Neumaier, A.
13
1986
The wrapping effect, ellipsoid arithmetic, stability and confidence regions. Zbl 0790.65035
Neumaier, A.
13
1993
Distances, graphs and designs. Zbl 0435.05015
Neumaier, A.
13
1980
Enclosing clusters of zeros of polynomials. Zbl 1029.65050
Neumaier, Arnold
13
2003
Solving minimax problems by interval methods. Zbl 0718.65049
Shen, Zuhe; Neumaier, A.; Eiermann, M. C.
12
1990
On graphs whose smallest eigenvalue is at least \(-1-\sqrt 2\). Zbl 0832.05076
Woo, Renee; Neumaier, Arnold
12
1995
Rectagraphs, diagrams, and Suzuki’s sporadic simple group. Zbl 0491.05033
Neumaier, A.
12
1982
An existence test for root clusters and multiple roots. Zbl 0659.65052
Neumaier, A.
12
1988
Existence verification for singular zeros of complex nonlinear systems. Zbl 0986.65054
Kearfott, R. Baker; Dian, Jianwei; Neumaier, A.
10
2000
Second-order sufficient optimality conditions for local and global nonlinear programming. Zbl 0868.90112
Neumaier, Arnold
10
1996
Krein conditions and near polygons. Zbl 0738.05025
Neumaier, Arnold
10
1990
A method of trust region type for minimizing noisy functions. Zbl 0879.90166
Elster, C.; Neumaier, A.
9
1997
Rigorous sensitivity analysis for parameter-dependent systems of equations. Zbl 0688.65034
Neumaier, Arnold
9
1989
Convexity and concavity detection in computational graphs: tree walks for convexity assessment. Zbl 1243.90004
Fourer, Robert; Maheshwari, Chandrakant; Neumaier, Arnold; Orban, Dominique; Schichl, Hermann
9
2010
Rigorous enclosures of ellipsoids and directed Cholesky factorizations. Zbl 1242.90152
Domes, Ferenc; Neumaier, Arnold
9
2011
Algorithm 808: ARfit – a matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive models. Zbl 1070.65504
Schneider, Tapio; Neumaier, Arnold
9
2001
OSGA: a fast subgradient algorithm with optimal complexity. Zbl 1346.90671
Neumaier, Arnold
9
2016
The optimization test environment. Zbl 1364.90006
Domes, Ferenc; Fuchs, Martin; Schichl, Hermann; Neumaier, Arnold
8
2014
On the comparison of H-matrices with M-matrices. Zbl 0605.15005
Neumaier, A.
8
1986
Transposition theorems and qualification-free optimality conditions. Zbl 1136.90043
Schichl, Hermann; Neumaier, Arnold
8
2006
An optimal subgradient algorithm for large-scale bound-constrained convex optimization. Zbl 1380.90215
Ahookhosh, Masoud; Neumaier, Arnold
7
2017
Optimal subgradient algorithms for large-scale convex optimization in simple domains. Zbl 1411.90261
Ahookhosh, Masoud; Neumaier, Arnold
7
2017
Quasi-residual 2-designs, 1,5-designs, and strongly regular multigraphs. Zbl 0523.05012
Neumaier, Arnold
7
1982
The Krawczyk operator and Kantorovich’s theorem. Zbl 0717.65028
Neumaier, Arnold; Shen, Zuhe
7
1990
Screening by conference designs. Zbl 0830.62069
Elster, Clemens; Neumaier, Arnold
7
1995
Fuzzy modeling in terms of surprise. Zbl 1031.93012
Neumaier, Arnold
7
2003
Lattices of simplex type. Zbl 0537.51018
Neumaier, A.
6
1983
An interval version of the secant method. Zbl 0558.65027
Neumaier, A.
6
1984
An optimality criterion for global quadratic optimization. Zbl 0783.90095
Neumaier, Arnold
6
1992
Distance matrices and \(n\)-dimensional designs. Zbl 0467.05017
Neumaier, A.
6
1981
On norm three vectors in integral Euclidean lattices. I. Zbl 0496.10018
Neumaier, Arnold
6
1983
Rigorous filtering using linear relaxations. Zbl 1275.90051
Domes, Ferenc; Neumaier, Arnold
6
2012
Rigorous verification of feasibility. Zbl 1318.90065
Domes, Ferenc; Neumaier, Arnold
6
2015
Solving structured nonsmooth convex optimization with complexity \(\mathcal {O}(\varepsilon ^{-1/2})\). Zbl 1391.90466
Ahookhosh, Masoud; Neumaier, Arnold
5
2018
GLOPT - a program for constrained global optimization. Zbl 0886.90119
Dallwig, S.; Neumaier, A.; Schichl, H.
5
1997
Constraint aggregation for rigorous global optimization. Zbl 1342.90142
Domes, Ferenc; Neumaier, Arnold
5
2016
A remark on partial linear spaces of girth 5 with an application to strongly regular graphs. Zbl 0668.05015
Brouwer, A. E.; Neumaier, A.
5
1988
Rundungsfehleranalyse einiger Verfahren zur Summation endlicher Summen. Zbl 0273.65032
Neumaier, A.
5
1974
Exclusion regions for optimization problems. Zbl 1297.65070
Schichl, Hermann; Markót, Mihály Csaba; Neumaier, Arnold
5
2014
The enclosure of solutions of parameter-dependent systems of equations. Zbl 0651.65044
Neumaier, A.
5
1988
Duality in coherent configurations. Zbl 0673.05015
Neumaier, A.
4
1989
On Shary’s algebraic approach for linear interval equations. Zbl 0959.65054
Neumaier, Arnold
4
2000
Interval methods for systems of equations. Reprint of 1990 hardback ed. Zbl 1152.65054
Neumaier, Arnold
4
2009
On a class of edge-regular graphs. Zbl 0499.05035
Neumaier, A.
4
1981
Potential based clouds in robust design optimization. Zbl 1211.62140
Fuchs, Martin; Neumaier, Arnold
4
2009
Inklusions- und Abstimmungssysteme. Zbl 0292.04004
Neumaier, Arnold
4
1975
A scaling algorithm for polynomial constraint satisfaction problems. Zbl 1151.90549
Domes, Ferenc; Neumaier, Arnold
4
2008
The extremal case of some matrix inequalities. Zbl 0548.15012
Neumaier, Arnold
3
1984
Existence of solutions of piecewise differentiable systems of equations. Zbl 0593.65035
Neumaier, A.
3
1986
Certified error bounds for uncertain elliptic equations. Zbl 1145.65088
Neumaier, Arnold
3
2008
Solving overdetermined eigenvalue problems. Zbl 1266.45003
Das, Saptarshi; Neumaier, Arnold
3
2013
Global, rigorous and realistic bounds for the solution of dissipative differential equations. I: Theory. Zbl 0809.65077
Neumaier, A.; Hill, Murray
3
1994
Regular cliques in graphs and special 1,5-designs. Zbl 0466.05026
Neumaier, A.
3
1981
An optimal subgradient algorithm with subspace search for costly convex optimization problems. Zbl 1412.90105
Ahookhosh, Masoud; Neumaier, Arnold
2
2019
An optimal subgradient algorithm with subspace search for costly convex optimization problems. Zbl 1412.90105
Ahookhosh, Masoud; Neumaier, Arnold
2
2019
Solving structured nonsmooth convex optimization with complexity \(\mathcal {O}(\varepsilon ^{-1/2})\). Zbl 1391.90466
Ahookhosh, Masoud; Neumaier, Arnold
5
2018
A computational study of global optimization solvers on two trust region subproblems. Zbl 1405.90096
Montanher, Tiago; Neumaier, Arnold; Domes, Ferenc
1
2018
MINQ8: general definite and bound constrained indefinite quadratic programming. Zbl 1400.90240
Huyer, Waltraud; Neumaier, Arnold
1
2018
An optimal subgradient algorithm for large-scale bound-constrained convex optimization. Zbl 1380.90215
Ahookhosh, Masoud; Neumaier, Arnold
7
2017
Optimal subgradient algorithms for large-scale convex optimization in simple domains. Zbl 1411.90261
Ahookhosh, Masoud; Neumaier, Arnold
7
2017
A robust approach for finding all well-separated solutions of sparse systems of nonlinear equations. Zbl 1375.65070
Baharev, Ali; Domes, Ferenc; Neumaier, Arnold
1
2017
Using interval unions to solve linear systems of equations with uncertainties. Zbl 1380.65070
Montanher, Tiago; Domes, Ferenc; Schichl, Hermann; Neumaier, Arnold
1
2017
Certificates of infeasibility via nonsmooth optimization. Zbl 1380.90223
Fendl, Hannes; Neumaier, Arnold; Schichl, Hermann
1
2017
Bounding basis reduction properties. Zbl 1430.11092
Neumaier, Arnold
1
2017
OSGA: a fast subgradient algorithm with optimal complexity. Zbl 1346.90671
Neumaier, Arnold
9
2016
Constraint aggregation for rigorous global optimization. Zbl 1342.90142
Domes, Ferenc; Neumaier, Arnold
5
2016
Faster LLL-type reduction of lattice bases. Zbl 1364.11167
Neumaier, Arnold; Stehlé, Damien
1
2016
Linear and parabolic relaxations for quadratic constraints. Zbl 1351.90131
Domes, Ferenc; Neumaier, Arnold
1
2016
Rigorous verification of feasibility. Zbl 1318.90065
Domes, Ferenc; Neumaier, Arnold
6
2015
Global attractivity of the zero solution for Wright’s equation. Zbl 1301.34094
Bánhelyi, Balázs; Csendes, Tibor; Krisztin, Tibor; Neumaier, Arnold
19
2014
The optimization test environment. Zbl 1364.90006
Domes, Ferenc; Fuchs, Martin; Schichl, Hermann; Neumaier, Arnold
8
2014
Exclusion regions for optimization problems. Zbl 1297.65070
Schichl, Hermann; Markót, Mihály Csaba; Neumaier, Arnold
5
2014
Solving overdetermined eigenvalue problems. Zbl 1266.45003
Das, Saptarshi; Neumaier, Arnold
3
2013
On solving mixed-integer constraint satisfaction problems with unbounded variables. Zbl 1382.90067
Schichl, Hermann; Neumaier, Arnold; Markót, Mihály Csaba; Domes, Ferenc
1
2013
Rigorous filtering using linear relaxations. Zbl 1275.90051
Domes, Ferenc; Neumaier, Arnold
6
2012
DynGenPar – a dynamic generalized parser for common mathematical language. Zbl 1360.68812
Kofler, Kevin; Neumaier, Arnold
1
2012
Rigorous enclosures of ellipsoids and directed Cholesky factorizations. Zbl 1242.90152
Domes, Ferenc; Neumaier, Arnold
9
2011
Standardized notation in interval analysis. Zbl 1196.65088
Kearfott, R. B.; Nakao, M. T.; Neumaier, A.; Rump, S. M.; Shary, S. P.; van Hentenryck, P.
31
2010
Constraint propagation on quadratic constraints. Zbl 1208.68200
Domes, Ferenc; Neumaier, Arnold
17
2010
Convexity and concavity detection in computational graphs: tree walks for convexity assessment. Zbl 1243.90004
Fourer, Robert; Maheshwari, Chandrakant; Neumaier, Arnold; Orban, Dominique; Schichl, Hermann
9
2010
Interval methods for systems of equations. Reprint of 1990 hardback ed. Zbl 1152.65054
Neumaier, Arnold
4
2009
Potential based clouds in robust design optimization. Zbl 1211.62140
Fuchs, Martin; Neumaier, Arnold
4
2009
A scaling algorithm for polynomial constraint satisfaction problems. Zbl 1151.90549
Domes, Ferenc; Neumaier, Arnold
4
2008
Certified error bounds for uncertain elliptic equations. Zbl 1145.65088
Neumaier, Arnold
3
2008
Towards a combination of interval and ellipsoid uncertainty. Zbl 1212.65191
Kreinovich, Vladik; Neumaier, Arnold; Xiang, Gang
1
2008
Linear systems with large uncertainties, with applications to truss structures. Zbl 1117.65063
Neumaier, Arnold; Pownuk, Andrzej
24
2007
On graphs whose spectral radius is bounded by \(\frac{3}{2}\sqrt{2}\). Zbl 1155.05045
Woo, Renee; Neumaier, Arnold
24
2007
New bounds for Morse clusters. Zbl 1190.90222
Vinkó, Tamás; Neumaier, Arnold
2
2007
Transposition theorems and qualification-free optimality conditions. Zbl 1136.90043
Schichl, Hermann; Neumaier, Arnold
8
2006
A comparison of complete global optimization solvers. Zbl 1099.90001
Neumaier, Arnold; Shcherbina, Oleg; Huyer, Waltraud; Vinkó, Tamás
36
2005
Interval analysis on directed acyclic graphs for global optimization. Zbl 1094.65061
Schichl, Hermann; Neumaier, Arnold
28
2005
Complete search in continuous global optimization and constraint satisfaction. Zbl 1113.90124
Neumaier, Arnold
77
2004
Safe bounds in linear and mixed-integer linear programming. Zbl 1098.90043
Neumaier, Arnold; Shcherbina, Oleg
36
2004
Clouds, fuzzy sets, and probability intervals. Zbl 1055.65062
Neumaier, Arnold
21
2004
Exclusion regions for systems of equations. Zbl 1080.65041
Schichl, Hermann; Neumaier, Arnold
18
2004
Benchmarking global optimization and constraint satisfaction codes. Zbl 1296.90004
Shcherbina, Oleg; Neumaier, Arnold; Sam-Haroud, Djamila; Vu, Xuan-Ha; Nguyen, Tuan-Viet
34
2003
Taylor forms – use and limits. Zbl 1071.65070
Neumaier, Arnold
27
2003
A new exact penalty function. Zbl 1101.90070
Huyer, Waltraud; Neumaier, Arnold
23
2003
Enclosing clusters of zeros of polynomials. Zbl 1029.65050
Neumaier, Arnold
13
2003
Fuzzy modeling in terms of surprise. Zbl 1031.93012
Neumaier, Arnold
7
2003
Global optimization and constraint satisfaction. First international workshop on global constraint optimization and constraint satisfaction, COCOS 2002, Valbonne-Sophia Antipolis, France, October 2–4, 2002. Revised selected papers. Zbl 1029.00042
Bliek, Christian; Jermann, Christophe; Neumaier, Arnold
1
2003
Grand challenges and scientific standards in interval analysis. Zbl 0999.65030
Neumaier, Arnold
2
2002
A new approach to incorporate uncertainty in terrain modeling. Zbl 1015.68582
Santos, Jorge; Lodwick, Weldon A.; Neumaier, Arnold
1
2002
Introduction to numerical analysis. Zbl 0980.65001
Neumaier, Arnold
32
2001
Estimation of parameters and eigenmodes of multivariate autoregressive models. Zbl 1070.65503
Neumaier, Arnold; Schneider, Tapio
20
2001
Algorithm 808: ARfit – a matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive models. Zbl 1070.65504
Schneider, Tapio; Neumaier, Arnold
9
2001
Generalized Lyapunov-Schmidt reduction for parametrized equations at near singular points. Zbl 0974.65058
Neumaier, Arnold
2
2001
The NOP-2 modeling language for nonlinear programming. Zbl 1039.90001
Schichl, H.; Dallwig, S.; Neumaier, A.
1
2001
Existence verification for singular zeros of complex nonlinear systems. Zbl 0986.65054
Kearfott, R. Baker; Dian, Jianwei; Neumaier, A.
10
2000
On Shary’s algebraic approach for linear interval equations. Zbl 0959.65054
Neumaier, Arnold
4
2000
Global optimization by multilevel coordinate search. Zbl 0956.90045
Huyer, Waltraud; Neumaier, Arnold
83
1999
A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations. Zbl 0936.65055
Neumaier, Arnold
19
1999
New techniques for the construction of residue potentials for protein folding. Zbl 0965.92021
Neumaier, Arnold; Dallwig, Stefan; Huyer, Waltraud; Schichl, Hermann
1
1999
Solving ill-conditioned and singular linear systems: A tutorial on regularization. Zbl 0913.65032
Neumaier, Arnold
43
1998
Molecular modeling of proteins and mathematical prediction of protein structure. Zbl 0939.92013
Neumaier, Arnold
28
1997
A method of trust region type for minimizing noisy functions. Zbl 0879.90166
Elster, C.; Neumaier, A.
9
1997
GLOPT - a program for constrained global optimization. Zbl 0886.90119
Dallwig, S.; Neumaier, A.; Schichl, H.
5
1997
Scaling and structural condition numbers. Zbl 0891.15003
Neumaier, Arnold
1
1997
A new pivoting strategy for Gaussian elimination. Zbl 0852.65021
Olschowska, Markus; Neumaier, Arnold
24
1996
Second-order sufficient optimality conditions for local and global nonlinear programming. Zbl 0868.90112
Neumaier, Arnold
10
1996
A grid algorithm for bound constrained optimization of noisy functions. Zbl 0831.65063
Elster, Clemens; Neumaier, Arnold
15
1995
On graphs whose smallest eigenvalue is at least \(-1-\sqrt 2\). Zbl 0832.05076
Woo, Renee; Neumaier, Arnold
12
1995
Screening by conference designs. Zbl 0830.62069
Elster, Clemens; Neumaier, Arnold
7
1995
Global, rigorous and realistic bounds for the solution of dissipative differential equations. I: Theory. Zbl 0809.65077
Neumaier, A.; Hill, Murray
3
1994
Rigorous chaos verification in discrete dynamical systems. Zbl 0783.58047
Neumaier, Arnold; Rage, Thomas
23
1993
The wrapping effect, ellipsoid arithmetic, stability and confidence regions. Zbl 0790.65035
Neumaier, A.
13
1993
Completely regular codes. Zbl 0754.94010
Neumaier, Arnold
41
1992
Exceptional graphs with smallest eigenvalue -2 and related problems. Zbl 0770.05060
Bussemaker, F. C.; Neumaier, A.
20
1992
Measures of strength \(2e\) and optimal designs of degree \(e\). Zbl 0900.62413
Neumaier, A.; Seidel, J. J.
13
1992
An optimality criterion for global quadratic optimization. Zbl 0783.90095
Neumaier, Arnold
6
1992
Interval methods for systems of equations. Zbl 0715.65030
Neumaier, Arnold
287
1990
Derived eigenvalues of symmetric matrices, with applications to distance geometry. Zbl 0706.15009
Neumaier, A.
194
1990
Solving minimax problems by interval methods. Zbl 0718.65049
Shen, Zuhe; Neumaier, A.; Eiermann, M. C.
12
1990
Krein conditions and near polygons. Zbl 0738.05025
Neumaier, Arnold
10
1990
The Krawczyk operator and Kantorovich’s theorem. Zbl 0717.65028
Neumaier, Arnold; Shen, Zuhe
7
1990
Distance-regular graphs. Zbl 0747.05073
Brouwer, Andries E.; Cohen, Arjeh M.; Neumaier, Arnold
1989
The graphs with spectral radius between 2 and \(\sqrt{2+\sqrt{5}}\). Zbl 0678.05038
Brouwer, A. E.; Neumaier, A.
55
1989
Graph representations, two-distance sets, and equiangular lines. Zbl 0724.05043
Neumaier, A
15
1989
Rigorous sensitivity analysis for parameter-dependent systems of equations. Zbl 0688.65034
Neumaier, Arnold
9
1989
Duality in coherent configurations. Zbl 0673.05015
Neumaier, A.
4
1989
Discrete measures for spherical designs, eutactic stars and lattices. Zbl 0657.10033
Neumaier, A.; Seidel, J. J.
36
1988
An existence test for root clusters and multiple roots. Zbl 0659.65052
Neumaier, A.
12
1988
A remark on partial linear spaces of girth 5 with an application to strongly regular graphs. Zbl 0668.05015
Brouwer, A. E.; Neumaier, A.
5
1988
The enclosure of solutions of parameter-dependent systems of equations. Zbl 0651.65044
Neumaier, A.
5
1988
A note on Moore’s interval test for zeros of nonlinear systems. Zbl 0629.65054
Zuhe, Shen; Neumaier, A.
2
1988
Overestimation in linear interval equations. Zbl 0617.65024
Neumaier, A.
16
1987
Further results on linear interval equations. Zbl 0617.65023
Neumaier, A.
2
1987
Interval Newton operators for function strips. Zbl 0621.65047
Krawczyk, R.; Neumaier, A.
2
1987
Some relations between roots, holes, and pillars. Zbl 0632.05039
Neumaier, A.
1
1987
An improved interval Newton operator. Zbl 0602.65033
Krawczyk, R.; Neumaier, A.
13
1986
On the comparison of H-matrices with M-matrices. Zbl 0605.15005
Neumaier, A.
8
1986
Existence of solutions of piecewise differentiable systems of equations. Zbl 0593.65035
Neumaier, A.
3
1986
Linear interval equations. Zbl 0588.65023
Neumaier, A.
1
1986
Residual inverse iteration for the nonlinear eigenvalue problem. Zbl 0594.65026
Neumaier, A.
45
1985
...and 38 more Documents
all top 5

Cited by 2,676 Authors

108 Makhnëv, Aleksandr Alekseevich
83 Koolen, Jack H.
70 Neumaier, Arnold
37 Hladík, Milan
34 Terwilliger, Paul M.
30 Brouwer, Andries Evert
30 Van Dam, Edwin Robert
29 Paduchikh, Dmitriĭ Viktorovich
28 Wang, Kaishun
26 Bannai, Eiichi
25 Miklavič, Štefko
25 Praeger, Cheryl Elisabeth
23 Mayer, Günter
22 Guo, Jun
21 Gavrilyuk, Alexander L.
20 Bannai, Etsuko
20 Haemers, Willem H.
20 Hiraki, Akira
18 Belousov, Ivan Nikolaevich
18 Fiol, Miquel Angel
18 Jurišić, Aleksandar
17 De Bruyn, Bart
17 Goldsztejn, Alexandre
17 Rump, Siegfried Michael
17 Suzuki, Hiroshi
16 Bang, Sejeong
16 Barton, Paul I.
16 Kearfott, Baker
15 Gao, Suogang
15 Simić, Slobodan K.
15 Zinov’ev, Viktor Aleksandrovich
14 Curtin, Brian
14 Domes, Ferenc
14 Munemasa, Akihiro
14 Park, Jongyook
14 Pasini, Antonio
14 Weng, Chih-Wen
13 Frommer, Andreas
13 MacLean, Mark S.
13 Muzychuk, Mikhail E.
13 Rifà, Josep
13 Wolfe, Michael A.
12 Cioabă, Sebastian M.
12 Cvetkovic, Dragos M.
12 Kabanov, Vladislav Vladimirovich
12 Sahinidis, Nikolaos V.
12 Schichl, Hermann
12 Tanaka, Hajime
11 Deza, Michel Marie
11 Ihringer, Ferdinand
11 Martin, William J.
11 Nozaki, Hiroshi
11 Rowlinson, Peter
10 Belardo, Francesco
10 Dalfó, Cristina
10 Floudas, Christodoulos Achilleus
10 Godsil, Christopher David
10 Hashemi, Behnam
10 Jarlebring, Elias
10 Li, Fenggao
10 Metsch, Klaus
10 Nirova, Marina Sefovna
10 Skalna, Iwona
9 Alefeld, Götz E.
9 Bamberg, John
9 Devillers, Alice
9 Garriga, E.
9 Gillespie, Neil I.
9 Gutnova, Alina Kazbekovna
9 Huang, Liping
9 Jin, Wei
9 Li, Caiheng
9 Mitsos, Alexander
9 Petković, Miodrag S.
9 Ponomarenko, Ilya Nikolaevich
9 Scott, Joseph K.
9 Van Maldeghem, Hendrik J.
8 Blokhuis, Aart
8 Borges, Joaquim
8 Coolsaet, Kris
8 Csendes, Tibor
8 Galias, Zbigniew
8 Hadjidimos, Apostolos
8 Hirasaka, Mitsugu
8 Krotov, Denis S.
8 Lodwick, Weldon Alexander
8 Lv, Benjian
8 Ma, Jianmin
8 Mireles-James, Jason D.
8 Pasechnik, Dmitrii V.
8 Rohn, Jiri
8 Sawa, Masanori
8 Shen, Zuhe
8 Solé, Patrick
8 Tucker, Warwick
8 Vidali, Janoš
8 Wang, Jianfeng
8 Zgliczyński, Piotr
7 Ahookhosh, Masoud
7 Chabert, Gilles
...and 2,576 more Authors
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Cited in 385 Serials

205 Linear Algebra and its Applications
165 Discrete Mathematics
156 European Journal of Combinatorics
140 Journal of Global Optimization
92 Journal of Combinatorial Theory. Series A
81 Journal of Algebraic Combinatorics
65 Journal of Computational and Applied Mathematics
63 Designs, Codes and Cryptography
53 Doklady Mathematics
52 Reliable Computing
51 Graphs and Combinatorics
48 Computing
47 Applied Mathematics and Computation
38 Journal of Combinatorial Theory. Series B
28 Journal of Algebra
26 BIT
26 Proceedings of the Steklov Institute of Mathematics
24 Discrete Applied Mathematics
22 Mathematical Programming. Series A. Series B
20 Fuzzy Sets and Systems
20 Journal of Optimization Theory and Applications
20 Computational Optimization and Applications
20 Sibirskie Èlektronnye Matematicheskie Izvestiya
18 Computers & Mathematics with Applications
18 Computer Methods in Applied Mechanics and Engineering
18 Numerical Algorithms
18 European Journal of Operational Research
18 International Journal of Computer Mathematics
17 Finite Fields and their Applications
17 The Electronic Journal of Combinatorics
17 Optimization Letters
15 Automatica
15 Numerische Mathematik
14 Linear and Multilinear Algebra
13 Combinatorica
12 Mathematical Notes
12 Applied Numerical Mathematics
12 Optimization Methods & Software
11 Mathematics of Computation
11 Constraints
11 Soft Computing
11 Optimization and Engineering
10 Journal of Mathematical Analysis and Applications
10 Journal of Differential Equations
10 SIAM Journal on Scientific Computing
10 Journal of Mathematical Sciences (New York)
10 St. Petersburg Mathematical Journal
10 Journal of Combinatorial Designs
10 Annals of Combinatorics
10 Ars Mathematica Contemporanea
9 Information Sciences
9 Journal of Statistical Planning and Inference
9 Computers & Operations Research
9 Japan Journal of Industrial and Applied Mathematics
9 Applied Mathematical Modelling
8 Journal of Computational Physics
8 Archiv der Mathematik
8 Transactions of the American Mathematical Society
8 Discrete & Computational Geometry
8 SIAM Journal on Matrix Analysis and Applications
8 Algebraic Combinatorics
7 Communications in Algebra
7 Advances in Mathematics
7 International Journal for Numerical Methods in Engineering
7 Journal of Geometry
7 Theoretical Computer Science
7 Operations Research Letters
7 International Journal of Approximate Reasoning
7 Applied Mathematics Letters
7 Annals of Operations Research
7 Applications of Mathematics
7 Computational Statistics and Data Analysis
7 ELA. The Electronic Journal of Linear Algebra
7 CEJOR. Central European Journal of Operations Research
6 Mathematics and Computers in Simulation
6 Michigan Mathematical Journal
6 Optimization
6 Journal of Symbolic Computation
6 Mathematical and Computer Modelling
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Chaos
6 SIAM Journal on Applied Dynamical Systems
6 Science China. Mathematics
5 Israel Journal of Mathematics
5 Geometriae Dedicata
5 Mathematische Zeitschrift
5 Numerical Functional Analysis and Optimization
5 Siberian Mathematical Journal
5 Indagationes Mathematicae. New Series
5 INFORMS Journal on Computing
5 Mathematical Problems in Engineering
5 Communications in Nonlinear Science and Numerical Simulation
5 International Journal of Applied Mathematics and Computer Science
5 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
5 Mathematical Programming Computation
4 Artificial Intelligence
4 Information Processing Letters
4 Proceedings of the American Mathematical Society
4 Discrete Mathematics and Applications
4 Journal of Dynamics and Differential Equations
...and 285 more Serials
all top 5

Cited in 61 Fields

1,198 Combinatorics (05-XX)
690 Numerical analysis (65-XX)
495 Operations research, mathematical programming (90-XX)
174 Linear and multilinear algebra; matrix theory (15-XX)
174 Geometry (51-XX)
139 Information and communication theory, circuits (94-XX)
132 Group theory and generalizations (20-XX)
132 Computer science (68-XX)
73 Statistics (62-XX)
71 Systems theory; control (93-XX)
63 Ordinary differential equations (34-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
52 Mechanics of deformable solids (74-XX)
50 Biology and other natural sciences (92-XX)
48 Dynamical systems and ergodic theory (37-XX)
47 Convex and discrete geometry (52-XX)
34 Number theory (11-XX)
31 Partial differential equations (35-XX)
24 Probability theory and stochastic processes (60-XX)
23 Functions of a complex variable (30-XX)
23 Special functions (33-XX)
22 Real functions (26-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
18 Quantum theory (81-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Mathematical logic and foundations (03-XX)
15 Field theory and polynomials (12-XX)
14 Nonassociative rings and algebras (17-XX)
13 Operator theory (47-XX)
13 Mechanics of particles and systems (70-XX)
12 Algebraic geometry (14-XX)
12 Associative rings and algebras (16-XX)
12 Manifolds and cell complexes (57-XX)
10 Approximations and expansions (41-XX)
10 Algebraic topology (55-XX)
9 Commutative algebra (13-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Topological groups, Lie groups (22-XX)
8 Fluid mechanics (76-XX)
7 Functional analysis (46-XX)
6 History and biography (01-XX)
6 Measure and integration (28-XX)
6 Abstract harmonic analysis (43-XX)
6 Integral equations (45-XX)
6 Differential geometry (53-XX)
5 General algebraic systems (08-XX)
5 General topology (54-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Difference and functional equations (39-XX)
4 Optics, electromagnetic theory (78-XX)
4 Geophysics (86-XX)
3 Category theory; homological algebra (18-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Astronomy and astrophysics (85-XX)
1 Mathematics education (97-XX)

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