Edit Profile (opens in new tab) Neumaier, Arnold Compute Distance To: Compute Author ID: neumaier.arnold Published as: Neumaier, Arnold; Neumaier, A.; Neumaier, A more...less Homepage: http://www.mat.univie.ac.at/~neum/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 172 Publications since 1974, including 14 Books 2 Contributions as Editor Co-Authors: 63 Co-Authors with 83 Joint Publications 1,271 Co-Co-Authors all top 5 Co-Authors 88 single-authored 17 Schichl, Hermann 15 Domes, Ferenc 6 Huyer, Waltraud 4 Ahookhosh, Masoud 4 Brouwer, Andries Evert 4 Montanher, Tiago 3 Baharev, Ali 3 Dallwig, Stefan 3 Elster, Clemens 3 Markót, Mihály Csaba 3 Seidel, Johan Jacob 3 Shcherbina, Oleg A. 2 Fuchs, Martin 2 Jermann, Christophe 2 Kearfott, Baker 2 Kimiaei, Morteza 2 Kofler, Kevin 2 Kreinovich, Vladik Yakovlevich 2 Schneider, Tapio 2 Shen, Zuhe 2 Vinkó, Tamás 2 Woo, Renee Y. Y. 1 Achterberg, Tobias 1 Azmi, Behzad 1 Bánhelyi, Balázs 1 Bliek, Christian 1 Bussemaker, Frans C. 1 Cohen, Arjeh Marcel 1 Csendes, Tibor 1 Das, Saptarshi 1 Dian, Jianwei 1 Eiermann, Martin Christian 1 Farashahi, Arash Ghaani 1 Fazal, Qaisra 1 Fendl, Hannes 1 Fourer, Robert 1 Hill, Murray 1 Iqbal, Tanveer 1 Krisztin, Tibor 1 Lodwick, Weldon Alexander 1 Maheshwari, Chandrakant 1 McFeat, R. B. 1 Nakao, Mitsuhiro T. 1 Nguyen, Tuan-Viet 1 Olschowska, Markus 1 Orban, Dominique 1 Penjic, Safet 1 Pownuk, Andrzej 1 Rage, Thomas 1 Rump, Siegfried Michael 1 Sam-Haroud, Djamila 1 Sam, Djamila 1 Schäfer, Andreas 1 Schodl, Peter 1 Sharyĭ, Sergeĭ Petrovich 1 Stehlé, Damien 1 Van Hentenryck, Pascal 1 Varga, Richard Steven 1 Vu, Xuan-Ha 1 Westra, Dennis B. 1 Wolff, Karl Erich 1 Xiang, Gang 1 Zuhe, Shen 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 of Combinatorial Theory. Series B 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 2 Mathematical Programming Computation 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 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 ACM Journal of Experimental Algorithmics 1 Acta Numerica 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Journal of Statistical Theory and Practice 1 Analysis and Mathematical Physics 1 De Gruyter Studies in Mathematical Physics 1 Texts and Monographs in Theoretical Physics all top 5 Fields 85 Numerical analysis (65-XX) 45 Operations research, mathematical programming (90-XX) 43 Combinatorics (05-XX) 18 Computer science (68-XX) 12 Geometry (51-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 9 Number theory (11-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Statistics (62-XX) 4 Group theory and generalizations (20-XX) 4 Functions of a complex variable (30-XX) 4 Quantum theory (81-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Convex and discrete geometry (52-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 141 Publications have been cited 3,575 times in 2,884 Documents Cited by ▼ Year ▼ Distance-regular graphs. Zbl 0747.05073Brouwer, Andries E.; Cohen, Arjeh M.; Neumaier, Arnold 1,184 1989 Interval methods for systems of equations. Zbl 0715.65030Neumaier, Arnold 297 1990 Derived eigenvalues of symmetric matrices, with applications to distance geometry. Zbl 0706.15009Neumaier, A. 210 1990 Global optimization by multilevel coordinate search. Zbl 0956.90045Huyer, Waltraud; Neumaier, Arnold 100 1999 Complete search in continuous global optimization and constraint satisfaction. Zbl 1113.90124Neumaier, Arnold 87 2004 The graphs with spectral radius between 2 and \(\sqrt{2+\sqrt{5}}\). Zbl 0678.05038Brouwer, A. E.; Neumaier, A. 58 1989 Strongly regular graphs with smallest eigenvalue -m. Zbl 0407.05043Neumaier, A. 53 1980 New techniques for the analysis of linear interval equations. Zbl 0558.65019Neumaier, Arnold 51 1984 Residual inverse iteration for the nonlinear eigenvalue problem. Zbl 0594.65026Neumaier, A. 48 1985 Completely regular codes. Zbl 0754.94010Neumaier, Arnold 45 1992 Solving ill-conditioned and singular linear systems: A tutorial on regularization. Zbl 0913.65032Neumaier, Arnold 44 1998 The second largest eigenvalue of a tree. Zbl 0495.05044Neumaier, A. 43 1982 Discrete measures for spherical designs, eutactic stars and lattices. Zbl 0657.10033Neumaier, A.; Seidel, J. J. 42 1988 A comparison of complete global optimization solvers. Zbl 1099.90001Neumaier, Arnold; Shcherbina, Oleg; Huyer, Waltraud; Vinkó, Tamás 40 2005 Safe bounds in linear and mixed-integer linear programming. Zbl 1098.90043Neumaier, Arnold; Shcherbina, Oleg 40 2004 Introduction to numerical analysis. Zbl 0980.65001Neumaier, Arnold 35 2001 Benchmarking global optimization and constraint satisfaction codes. Zbl 1296.90004Shcherbina, Oleg; Neumaier, Arnold; Sam-Haroud, Djamila; Vu, Xuan-Ha; Nguyen, Tuan-Viet 35 2003 Interval analysis on directed acyclic graphs for global optimization. Zbl 1094.65061Schichl, Hermann; Neumaier, Arnold 35 2005 Regular sets and quasi-symmetric 2-designs. Zbl 0497.05014Neumaier, A. 35 1982 Interval slopes for rational functions and associated centered forms. Zbl 0572.65007Krawczyk, R.; Neumaier, A. 34 1985 Standardized notation in interval analysis. Zbl 1196.65088Kearfott, R. B.; Nakao, M. T.; Neumaier, A.; Rump, S. M.; Shary, S. P.; van Hentenryck, P. 32 2010 Taylor forms – use and limits. Zbl 1071.65070Neumaier, Arnold 30 2003 Molecular modeling of proteins and mathematical prediction of protein structure. Zbl 0939.92013Neumaier, Arnold 29 1997 On graphs whose spectral radius is bounded by \(\frac{3}{2}\sqrt{2}\). Zbl 1155.05045Woo, Renee; Neumaier, Arnold 28 2007 Interval iteration for zeros of systems of equations. Zbl 0575.65045Neumaier, A. 27 1985 Clouds, fuzzy sets, and probability intervals. Zbl 1055.65062Neumaier, Arnold 27 2004 Some sporadic geometries related to PG(3,2). Zbl 0509.05026Neumaier, A. 26 1984 A new pivoting strategy for Gaussian elimination. Zbl 0852.65021Olschowska, Markus; Neumaier, Arnold 25 1996 Linear systems with large uncertainties, with applications to truss structures. Zbl 1117.65063Neumaier, Arnold; Pownuk, Andrzej 25 2007 Exclusion regions for systems of equations. Zbl 1080.65041Schichl, Hermann; Neumaier, Arnold 24 2004 Rigorous chaos verification in discrete dynamical systems. Zbl 0783.58047Neumaier, Arnold; Rage, Thomas 23 1993 A new exact penalty function. Zbl 1101.90070Huyer, Waltraud; Neumaier, Arnold 23 2003 Estimation of parameters and eigenmodes of multivariate autoregressive models. Zbl 1070.65503Neumaier, Arnold; Schneider, Tapio 22 2001 Exceptional graphs with smallest eigenvalue -2 and related problems. Zbl 0770.05060Bussemaker, F. C.; Neumaier, A. 22 1992 Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices. Zbl 0569.65021Neumaier, A.; Varga, R. S. 22 1984 Global attractivity of the zero solution for Wright’s equation. Zbl 1301.34094Bánhelyi, Balázs; Csendes, Tibor; Krisztin, Tibor; Neumaier, Arnold 21 2014 Characterization of a class of distance regular graphs. Zbl 0552.05042Neumaier, A. 21 1985 A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations. Zbl 0936.65055Neumaier, Arnold 20 1999 \(t{1\over 2}\)-designs. Zbl 0433.05012Neumaier, A. 20 1980 Discrete hyperbolic geometry. Zbl 0523.51016Neumaier, A.; Seidel, J. J. 19 1983 Graph representations, two-distance sets, and equiangular lines. Zbl 0724.05043Neumaier, A 19 1989 Distance matrices, dimension, and conference graphs. Zbl 0523.05019Neumaier, A. 18 1981 Constraint propagation on quadratic constraints. Zbl 1208.68200Domes, Ferenc; Neumaier, Arnold 18 2010 Measures of strength \(2e\) and optimal designs of degree \(e\). Zbl 0900.62413Neumaier, A.; Seidel, J. J. 16 1992 Overestimation in linear interval equations. Zbl 0617.65024Neumaier, A. 16 1987 A grid algorithm for bound constrained optimization of noisy functions. Zbl 0831.65063Elster, Clemens; Neumaier, Arnold 16 1995 Solving minimax problems by interval methods. Zbl 0718.65049Shen, Zuhe; Neumaier, A.; Eiermann, M. C. 15 1990 The wrapping effect, ellipsoid arithmetic, stability and confidence regions. Zbl 0790.65035Neumaier, A. 14 1993 An improved interval Newton operator. Zbl 0602.65033Krawczyk, R.; Neumaier, A. 13 1986 Enclosing clusters of zeros of polynomials. Zbl 1029.65050Neumaier, Arnold 13 2003 On graphs whose smallest eigenvalue is at least \(-1-\sqrt 2\). Zbl 0832.05076Woo, Renee; Neumaier, Arnold 13 1995 Krein conditions and near polygons. Zbl 0738.05025Neumaier, Arnold 13 1990 Rectagraphs, diagrams, and Suzuki’s sporadic simple group. Zbl 0491.05033Neumaier, A. 13 1982 Distances, graphs and designs. Zbl 0435.05015Neumaier, A. 13 1980 Existence verification for singular zeros of complex nonlinear systems. Zbl 0986.65054Kearfott, R. Baker; Dian, Jianwei; Neumaier, A. 12 2000 An existence test for root clusters and multiple roots. Zbl 0659.65052Neumaier, A. 12 1988 OSGA: a fast subgradient algorithm with optimal complexity. Zbl 1346.90671Neumaier, Arnold 11 2016 Second-order sufficient optimality conditions for local and global nonlinear programming. Zbl 0868.90112Neumaier, Arnold 11 1996 A method of trust region type for minimizing noisy functions. Zbl 0879.90166Elster, C.; Neumaier, A. 10 1997 Algorithm 808: ARfit – a Matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive models. Zbl 1070.65504Schneider, Tapio; Neumaier, Arnold 10 2001 Rigorous sensitivity analysis for parameter-dependent systems of equations. Zbl 0688.65034Neumaier, Arnold 10 1989 Screening by conference designs. Zbl 0830.62069Elster, Clemens; Neumaier, Arnold 9 1995 The optimization test environment. Zbl 1364.90006Domes, Ferenc; Fuchs, Martin; Schichl, Hermann; Neumaier, Arnold 9 2014 Convexity and concavity detection in computational graphs: tree walks for convexity assessment. Zbl 1243.90004Fourer, Robert; Maheshwari, Chandrakant; Neumaier, Arnold; Orban, Dominique; Schichl, Hermann 9 2010 Rigorous enclosures of ellipsoids and directed Cholesky factorizations. Zbl 1242.90152Domes, Ferenc; Neumaier, Arnold 9 2011 On the comparison of H-matrices with M-matrices. Zbl 0605.15005Neumaier, A. 8 1986 The Krawczyk operator and Kantorovich’s theorem. Zbl 0717.65028Neumaier, Arnold; Shen, Zuhe 8 1990 Transposition theorems and qualification-free optimality conditions. Zbl 1136.90043Schichl, Hermann; Neumaier, Arnold 8 2006 An optimal subgradient algorithm for large-scale bound-constrained convex optimization. Zbl 1380.90215Ahookhosh, Masoud; Neumaier, Arnold 7 2017 Fuzzy modeling in terms of surprise. Zbl 1031.93012Neumaier, Arnold 7 2003 An optimality criterion for global quadratic optimization. Zbl 0783.90095Neumaier, Arnold 7 1992 Rigorous filtering using linear relaxations. Zbl 1275.90051Domes, Ferenc; Neumaier, Arnold 7 2012 Constraint aggregation for rigorous global optimization. Zbl 1342.90142Domes, Ferenc; Neumaier, Arnold 7 2016 Optimal subgradient algorithms for large-scale convex optimization in simple domains. Zbl 1411.90261Ahookhosh, Masoud; Neumaier, Arnold 7 2017 A remark on partial linear spaces of girth 5 with an application to strongly regular graphs. Zbl 0668.05015Brouwer, A. E.; Neumaier, A. 7 1988 Quasi-residual 2-designs, 1,5-designs, and strongly regular multigraphs. Zbl 0523.05012Neumaier, Arnold 7 1982 GLOPT - a program for constrained global optimization. Zbl 0886.90119Dallwig, S.; Neumaier, A.; Schichl, H. 6 1997 MINQ8: general definite and bound constrained indefinite quadratic programming. Zbl 1400.90240Huyer, Waltraud; Neumaier, Arnold 6 2018 Distance matrices and \(n\)-dimensional designs. Zbl 0467.05017Neumaier, A. 6 1981 The enclosure of solutions of parameter-dependent systems of equations. Zbl 0651.65044Neumaier, A. 6 1988 Rigorous verification of feasibility. Zbl 1318.90065Domes, Ferenc; Neumaier, Arnold 6 2015 Exclusion regions for optimization problems. Zbl 1297.65070Schichl, Hermann; Markót, Mihály Csaba; Neumaier, Arnold 6 2014 Rundungsfehleranalyse einiger Verfahren zur Summation endlicher Summen. Zbl 0273.65032Neumaier, A. 6 1974 On norm three vectors in integral Euclidean lattices. I. Zbl 0496.10018Neumaier, Arnold 6 1983 Lattices of simplex type. Zbl 0537.51018Neumaier, A. 6 1983 An interval version of the secant method. Zbl 0558.65027Neumaier, A. 6 1984 Solving structured nonsmooth convex optimization with complexity \(\mathcal {O}(\varepsilon ^{-1/2})\). Zbl 1391.90466Ahookhosh, Masoud; Neumaier, Arnold 6 2018 A scaling algorithm for polynomial constraint satisfaction problems. Zbl 1151.90549Domes, Ferenc; Neumaier, Arnold 5 2008 Interval methods for systems of equations. Reprint of 1990 hardback ed. Zbl 1152.65054Neumaier, Arnold 5 2009 Potential based clouds in robust design optimization. Zbl 1211.62140Fuchs, Martin; Neumaier, Arnold 5 2009 On Shary’s algebraic approach for linear interval equations. Zbl 0959.65054Neumaier, Arnold 4 2000 Bounding basis reduction properties. Zbl 1430.11092Neumaier, Arnold 4 2017 Solving overdetermined eigenvalue problems. Zbl 1266.45003Das, Saptarshi; Neumaier, Arnold 4 2013 Inklusions- und Abstimmungssysteme. Zbl 0292.04004Neumaier, Arnold 4 1975 Duality in coherent configurations. Zbl 0673.05015Neumaier, A. 4 1989 On a class of edge-regular graphs. Zbl 0499.05035Neumaier, A. 4 1981 Existence of solutions of piecewise differentiable systems of equations. Zbl 0593.65035Neumaier, A. 3 1986 Regular cliques in graphs and special 1,5-designs. Zbl 0466.05026Neumaier, A. 3 1981 Global, rigorous and realistic bounds for the solution of dissipative differential equations. I: Theory. Zbl 0809.65077Neumaier, A.; Hill, Murray 3 1994 Certified error bounds for uncertain elliptic equations. Zbl 1145.65088Neumaier, Arnold 3 2008 A unified view of inequalities for distance-regular graphs. I. Zbl 1483.05204Neumaier, Arnold; Penjić, Safet 2 2022 LMBOPT: a limited memory method for bound-constrained optimization. Zbl 1489.90185Kimiaei, Morteza; Neumaier, Arnold; Azmi, Behzad 1 2022 An optimal subgradient algorithm with subspace search for costly convex optimization problems. Zbl 1412.90105Ahookhosh, Masoud; Neumaier, Arnold 2 2019 Coherent quantum physics. A reinterpretation of the tradition. Zbl 1423.81007Neumaier, Arnold 1 2019 MINQ8: general definite and bound constrained indefinite quadratic programming. Zbl 1400.90240Huyer, Waltraud; Neumaier, Arnold 6 2018 Solving structured nonsmooth convex optimization with complexity \(\mathcal {O}(\varepsilon ^{-1/2})\). Zbl 1391.90466Ahookhosh, Masoud; Neumaier, Arnold 6 2018 A computational study of global optimization solvers on two trust region subproblems. Zbl 1405.90096Montanher, Tiago; Neumaier, Arnold; Domes, Ferenc 2 2018 An optimal subgradient algorithm for large-scale bound-constrained convex optimization. Zbl 1380.90215Ahookhosh, Masoud; Neumaier, Arnold 7 2017 Optimal subgradient algorithms for large-scale convex optimization in simple domains. Zbl 1411.90261Ahookhosh, Masoud; Neumaier, Arnold 7 2017 Bounding basis reduction properties. Zbl 1430.11092Neumaier, Arnold 4 2017 A robust approach for finding all well-separated solutions of sparse systems of nonlinear equations. Zbl 1375.65070Baharev, Ali; Domes, Ferenc; Neumaier, Arnold 1 2017 Using interval unions to solve linear systems of equations with uncertainties. Zbl 1380.65070Montanher, Tiago; Domes, Ferenc; Schichl, Hermann; Neumaier, Arnold 1 2017 Certificates of infeasibility via nonsmooth optimization. Zbl 1380.90223Fendl, Hannes; Neumaier, Arnold; Schichl, Hermann 1 2017 OSGA: a fast subgradient algorithm with optimal complexity. Zbl 1346.90671Neumaier, Arnold 11 2016 Constraint aggregation for rigorous global optimization. Zbl 1342.90142Domes, Ferenc; Neumaier, Arnold 7 2016 Faster LLL-type reduction of lattice bases. Zbl 1364.11167Neumaier, Arnold; Stehlé, Damien 2 2016 Linear and parabolic relaxations for quadratic constraints. Zbl 1351.90131Domes, Ferenc; Neumaier, Arnold 1 2016 Rigorous verification of feasibility. Zbl 1318.90065Domes, Ferenc; Neumaier, Arnold 6 2015 Global attractivity of the zero solution for Wright’s equation. Zbl 1301.34094Bánhelyi, Balázs; Csendes, Tibor; Krisztin, Tibor; Neumaier, Arnold 21 2014 The optimization test environment. Zbl 1364.90006Domes, Ferenc; Fuchs, Martin; Schichl, Hermann; Neumaier, Arnold 9 2014 Exclusion regions for optimization problems. Zbl 1297.65070Schichl, Hermann; Markót, Mihály Csaba; Neumaier, Arnold 6 2014 Solving overdetermined eigenvalue problems. Zbl 1266.45003Das, Saptarshi; Neumaier, Arnold 4 2013 On solving mixed-integer constraint satisfaction problems with unbounded variables. Zbl 1382.90067Schichl, Hermann; Neumaier, Arnold; Markót, Mihály Csaba; Domes, Ferenc 1 2013 Rigorous filtering using linear relaxations. Zbl 1275.90051Domes, Ferenc; Neumaier, Arnold 7 2012 DynGenPar – a dynamic generalized parser for common mathematical language. Zbl 1360.68812Kofler, Kevin; Neumaier, Arnold 1 2012 Rigorous enclosures of ellipsoids and directed Cholesky factorizations. Zbl 1242.90152Domes, Ferenc; Neumaier, Arnold 9 2011 Standardized notation in interval analysis. Zbl 1196.65088Kearfott, R. B.; Nakao, M. T.; Neumaier, A.; Rump, S. M.; Shary, S. P.; van Hentenryck, P. 32 2010 Constraint propagation on quadratic constraints. Zbl 1208.68200Domes, Ferenc; Neumaier, Arnold 18 2010 Convexity and concavity detection in computational graphs: tree walks for convexity assessment. Zbl 1243.90004Fourer, Robert; Maheshwari, Chandrakant; Neumaier, Arnold; Orban, Dominique; Schichl, Hermann 9 2010 Interval methods for systems of equations. Reprint of 1990 hardback ed. Zbl 1152.65054Neumaier, Arnold 5 2009 Potential based clouds in robust design optimization. Zbl 1211.62140Fuchs, Martin; Neumaier, Arnold 5 2009 A scaling algorithm for polynomial constraint satisfaction problems. Zbl 1151.90549Domes, Ferenc; Neumaier, Arnold 5 2008 Certified error bounds for uncertain elliptic equations. Zbl 1145.65088Neumaier, Arnold 3 2008 Towards a combination of interval and ellipsoid uncertainty. Zbl 1212.65191Kreinovich, Vladik; Neumaier, Arnold; Xiang, Gang 1 2008 On graphs whose spectral radius is bounded by \(\frac{3}{2}\sqrt{2}\). Zbl 1155.05045Woo, Renee; Neumaier, Arnold 28 2007 Linear systems with large uncertainties, with applications to truss structures. Zbl 1117.65063Neumaier, Arnold; Pownuk, Andrzej 25 2007 New bounds for Morse clusters. Zbl 1190.90222Vinkó, Tamás; Neumaier, Arnold 2 2007 Transposition theorems and qualification-free optimality conditions. Zbl 1136.90043Schichl, Hermann; Neumaier, Arnold 8 2006 A comparison of complete global optimization solvers. Zbl 1099.90001Neumaier, Arnold; Shcherbina, Oleg; Huyer, Waltraud; Vinkó, Tamás 40 2005 Interval analysis on directed acyclic graphs for global optimization. Zbl 1094.65061Schichl, Hermann; Neumaier, Arnold 35 2005 Complete search in continuous global optimization and constraint satisfaction. Zbl 1113.90124Neumaier, Arnold 87 2004 Safe bounds in linear and mixed-integer linear programming. Zbl 1098.90043Neumaier, Arnold; Shcherbina, Oleg 40 2004 Clouds, fuzzy sets, and probability intervals. Zbl 1055.65062Neumaier, Arnold 27 2004 Exclusion regions for systems of equations. Zbl 1080.65041Schichl, Hermann; Neumaier, Arnold 24 2004 Benchmarking global optimization and constraint satisfaction codes. Zbl 1296.90004Shcherbina, Oleg; Neumaier, Arnold; Sam-Haroud, Djamila; Vu, Xuan-Ha; Nguyen, Tuan-Viet 35 2003 Taylor forms – use and limits. Zbl 1071.65070Neumaier, Arnold 30 2003 A new exact penalty function. Zbl 1101.90070Huyer, Waltraud; Neumaier, Arnold 23 2003 Enclosing clusters of zeros of polynomials. Zbl 1029.65050Neumaier, Arnold 13 2003 Fuzzy modeling in terms of surprise. Zbl 1031.93012Neumaier, 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 1 2003 Grand challenges and scientific standards in interval analysis. Zbl 0999.65030Neumaier, Arnold 2 2002 A new approach to incorporate uncertainty in terrain modeling. Zbl 1015.68582Santos, Jorge; Lodwick, Weldon A.; Neumaier, Arnold 1 2002 Introduction to numerical analysis. Zbl 0980.65001Neumaier, Arnold 35 2001 Estimation of parameters and eigenmodes of multivariate autoregressive models. Zbl 1070.65503Neumaier, Arnold; Schneider, Tapio 22 2001 Algorithm 808: ARfit – a Matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive models. Zbl 1070.65504Schneider, Tapio; Neumaier, Arnold 10 2001 Generalized Lyapunov-Schmidt reduction for parametrized equations at near singular points. Zbl 0974.65058Neumaier, Arnold 2 2001 The NOP-2 modeling language for nonlinear programming. Zbl 1039.90001Schichl, H.; Dallwig, S.; Neumaier, A. 1 2001 Existence verification for singular zeros of complex nonlinear systems. Zbl 0986.65054Kearfott, R. Baker; Dian, Jianwei; Neumaier, A. 12 2000 On Shary’s algebraic approach for linear interval equations. Zbl 0959.65054Neumaier, Arnold 4 2000 Global optimization by multilevel coordinate search. Zbl 0956.90045Huyer, Waltraud; Neumaier, Arnold 100 1999 A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations. Zbl 0936.65055Neumaier, Arnold 20 1999 New techniques for the construction of residue potentials for protein folding. Zbl 0965.92021Neumaier, Arnold; Dallwig, Stefan; Huyer, Waltraud; Schichl, Hermann 1 1999 Solving ill-conditioned and singular linear systems: A tutorial on regularization. Zbl 0913.65032Neumaier, Arnold 44 1998 Molecular modeling of proteins and mathematical prediction of protein structure. Zbl 0939.92013Neumaier, Arnold 29 1997 A method of trust region type for minimizing noisy functions. Zbl 0879.90166Elster, C.; Neumaier, A. 10 1997 GLOPT - a program for constrained global optimization. Zbl 0886.90119Dallwig, S.; Neumaier, A.; Schichl, H. 6 1997 Scaling and structural condition numbers. Zbl 0891.15003Neumaier, Arnold 1 1997 A new pivoting strategy for Gaussian elimination. Zbl 0852.65021Olschowska, Markus; Neumaier, Arnold 25 1996 Second-order sufficient optimality conditions for local and global nonlinear programming. Zbl 0868.90112Neumaier, Arnold 11 1996 A grid algorithm for bound constrained optimization of noisy functions. Zbl 0831.65063Elster, Clemens; Neumaier, Arnold 16 1995 On graphs whose smallest eigenvalue is at least \(-1-\sqrt 2\). Zbl 0832.05076Woo, Renee; Neumaier, Arnold 13 1995 Screening by conference designs. Zbl 0830.62069Elster, Clemens; Neumaier, Arnold 9 1995 Global, rigorous and realistic bounds for the solution of dissipative differential equations. I: Theory. Zbl 0809.65077Neumaier, A.; Hill, Murray 3 1994 Rigorous chaos verification in discrete dynamical systems. Zbl 0783.58047Neumaier, Arnold; Rage, Thomas 23 1993 The wrapping effect, ellipsoid arithmetic, stability and confidence regions. Zbl 0790.65035Neumaier, A. 14 1993 Completely regular codes. Zbl 0754.94010Neumaier, Arnold 45 1992 Exceptional graphs with smallest eigenvalue -2 and related problems. Zbl 0770.05060Bussemaker, F. C.; Neumaier, A. 22 1992 Measures of strength \(2e\) and optimal designs of degree \(e\). Zbl 0900.62413Neumaier, A.; Seidel, J. J. 16 1992 An optimality criterion for global quadratic optimization. Zbl 0783.90095Neumaier, Arnold 7 1992 Interval methods for systems of equations. Zbl 0715.65030Neumaier, Arnold 297 1990 Derived eigenvalues of symmetric matrices, with applications to distance geometry. Zbl 0706.15009Neumaier, A. 210 1990 Solving minimax problems by interval methods. Zbl 0718.65049Shen, Zuhe; Neumaier, A.; Eiermann, M. C. 15 1990 Krein conditions and near polygons. Zbl 0738.05025Neumaier, Arnold 13 1990 The Krawczyk operator and Kantorovich’s theorem. Zbl 0717.65028Neumaier, Arnold; Shen, Zuhe 8 1990 Distance-regular graphs. Zbl 0747.05073Brouwer, Andries E.; Cohen, Arjeh M.; Neumaier, Arnold 1,184 1989 The graphs with spectral radius between 2 and \(\sqrt{2+\sqrt{5}}\). Zbl 0678.05038Brouwer, A. E.; Neumaier, A. 58 1989 Graph representations, two-distance sets, and equiangular lines. Zbl 0724.05043Neumaier, A 19 1989 Rigorous sensitivity analysis for parameter-dependent systems of equations. Zbl 0688.65034Neumaier, Arnold 10 1989 Duality in coherent configurations. Zbl 0673.05015Neumaier, A. 4 1989 Discrete measures for spherical designs, eutactic stars and lattices. Zbl 0657.10033Neumaier, A.; Seidel, J. J. 42 1988 An existence test for root clusters and multiple roots. Zbl 0659.65052Neumaier, A. 12 1988 A remark on partial linear spaces of girth 5 with an application to strongly regular graphs. Zbl 0668.05015Brouwer, A. E.; Neumaier, A. 7 1988 The enclosure of solutions of parameter-dependent systems of equations. Zbl 0651.65044Neumaier, A. 6 1988 A note on Moore’s interval test for zeros of nonlinear systems. Zbl 0629.65054Zuhe, Shen; Neumaier, A. 2 1988 Overestimation in linear interval equations. Zbl 0617.65024Neumaier, A. 16 1987 Further results on linear interval equations. Zbl 0617.65023Neumaier, A. 2 1987 Interval Newton operators for function strips. Zbl 0621.65047Krawczyk, R.; Neumaier, A. 2 1987 Some relations between roots, holes, and pillars. Zbl 0632.05039Neumaier, A. 1 1987 An improved interval Newton operator. Zbl 0602.65033Krawczyk, R.; Neumaier, A. 13 1986 On the comparison of H-matrices with M-matrices. Zbl 0605.15005Neumaier, A. 8 1986 ...and 41 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,923 Authors 114 Makhnëv, Aleksandr Alekseevich 93 Koolen, Jack H. 74 Neumaier, Arnold 42 Hladík, Milan 38 Terwilliger, Paul M. 34 Brouwer, Andries Evert 33 Van Dam, Edwin Robert 33 Wang, Kaishun 30 Paduchikh, Dmitriĭ Viktorovich 29 Bannai, Eiichi 27 Praeger, Cheryl Elisabeth 26 Miklavič, Štefko 24 Bannai, Etsuko 23 De Bruyn, Bart 23 Gavrilyuk, Alexander L. 23 Mayer, Günter 22 Guo, Jun 22 Haemers, Willem H. 21 Hiraki, Akira 20 Belousov, Ivan Nikolaevich 20 Fiol, Miquel Angel 20 Rump, Siegfried Michael 19 Suzuki, Hiroshi 18 Jurišić, Aleksandar 17 Bang, Sejeong 17 Goldsztejn, Alexandre 17 Munemasa, Akihiro 16 Barton, Paul I. 16 Cioabă, Sebastian M. 16 Gao, Suogang 16 Ihringer, Ferdinand 16 Kearfott, Baker 16 Tsiovkina, Ludmila Yur’evna 15 Park, Jongyook 15 Simić, Slobodan K. 15 Tanaka, Hajime 15 Weng, Chih-Wen 15 Zinov’ev, Viktor Aleksandrovich 14 Curtin, Brian 14 Domes, Ferenc 14 Nirova, Marina Sefovna 14 Pasini, Antonio 13 Frommer, Andreas 13 MacLean, Mark S. 13 Muzychuk, Mikhail E. 13 Rifà, Josep 13 Sahinidis, Nikolaos V. 13 Schichl, Hermann 13 Wolfe, Michael A. 12 Belardo, Francesco 12 Cvetković, Dragoš 12 Godsil, Christopher David 12 Kabanov, Vladislav Vladimirovich 12 Lv, Benjian 12 Martin, William J. 12 Metsch, Klaus 11 Deza, Michel Marie 11 Hashemi, Behnam 11 Jarlebring, Elias 11 Nozaki, Hiroshi 11 Ponomarenko, Ilya Nikolaevich 11 Rowlinson, Peter 11 Sharyĭ, Sergeĭ Petrovich 11 Wang, Jianfeng 10 Dalfó, Cristina 10 Efimov, Konstantin Sergeevich 10 Floudas, Christodoulos Achilleus 10 Li, Fenggao 10 Nomura, Kazumasa 10 Sawa, Masanori 10 Scott, Joseph K. 10 Skalna, Iwona 10 Solé, Patrick 10 Stein, Oliver 10 Suda, Sho 10 Van Maldeghem, Hendrik J. 9 Alefeld, Götz E. 9 Bamberg, John 9 Devillers, Alice 9 Galias, Zbigniew 9 Garriga, E. 9 Gillespie, Neil I. 9 Gutnova, Alina Kazbekovna 9 Huang, Liping 9 Jin, Wei 9 Krotov, Denis S. 9 Li, Caiheng 9 Mitsos, Alexander 9 Pasechnik, Dmitrii V. 9 Petković, Miodrag S. 9 Zgliczyński, Piotr 8 Blokhuis, Aart 8 Borges, Joaquim 8 Cameron, Peter Jephson 8 Coolsaet, Kris 8 Csendes, Tibor 8 Dehghani-Madiseh, Marzieh 8 Hadjidimos, Apostolos 8 Hirao, Masatake 8 Hirasaka, Mitsugu ...and 2,823 more Authors all top 5 Cited in 409 Serials 216 Linear Algebra and its Applications 181 Discrete Mathematics 166 European Journal of Combinatorics 145 Journal of Global Optimization 105 Journal of Algebraic Combinatorics 100 Journal of Combinatorial Theory. Series A 68 Journal of Computational and Applied Mathematics 67 Designs, Codes and Cryptography 55 Doklady Mathematics 54 Graphs and Combinatorics 52 Applied Mathematics and Computation 52 Reliable Computing 50 The Electronic Journal of Combinatorics 48 Computing 39 Journal of Combinatorial Theory. Series B 28 Journal of Algebra 27 Proceedings of the Steklov Institute of Mathematics 26 Discrete Applied Mathematics 26 BIT 23 Mathematical Programming. Series A. Series B 23 Sibirskie Èlektronnye Matematicheskie Izvestiya 21 Computational Optimization and Applications 20 Fuzzy Sets and Systems 20 Journal of Optimization Theory and Applications 19 Finite Fields and their Applications 19 Optimization Letters 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 Linear and Multilinear Algebra 17 Automatica 15 Numerische Mathematik 15 Combinatorica 15 Ars Mathematica Contemporanea 14 Optimization Methods & Software 14 Optimization and Engineering 12 Mathematical Notes 12 Applied Numerical Mathematics 11 Journal of Computational Physics 11 Journal of Mathematical Analysis and Applications 11 Mathematics of Computation 11 SIAM Journal on Scientific Computing 11 Constraints 11 Soft Computing 10 Journal of Differential Equations 10 Journal of Statistical Planning and Inference 10 SIAM Journal on Matrix Analysis and Applications 10 Japan Journal of Industrial and Applied Mathematics 10 Journal of Mathematical Sciences (New York) 10 St. Petersburg Mathematical Journal 10 Journal of Combinatorial Designs 10 Annals of Combinatorics 9 Information Sciences 9 Theoretical Computer Science 9 Transactions of the American Mathematical Society 9 Computers & Operations Research 9 Annals of Operations Research 9 Applied Mathematical Modelling 8 Archiv der Mathematik 8 Discrete & Computational Geometry 8 International Journal of Approximate Reasoning 8 ELA. The Electronic Journal of Linear Algebra 8 CEJOR. Central European Journal of Operations Research 8 Mathematical Programming Computation 8 Algebraic Combinatorics 7 Communications in Algebra 7 Advances in Mathematics 7 International Journal for Numerical Methods in Engineering 7 Journal of Geometry 7 Mathematics and Computers in Simulation 7 Operations Research Letters 7 Optimization 7 Applied Mathematics Letters 7 Applications of Mathematics 7 Computational Statistics and Data Analysis 7 INFORMS Journal on Computing 7 Communications in Nonlinear Science and Numerical Simulation 7 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 6 Michigan Mathematical Journal 6 Journal of Symbolic Computation 6 Mathematical and Computer Modelling 6 SIAM Journal on Optimization 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 6 Ural Mathematical Journal 5 Israel Journal of Mathematics 5 Geometriae Dedicata 5 Mathematische Zeitschrift 5 Numerical Functional Analysis and Optimization 5 Siberian Mathematical Journal 5 Discrete Mathematics and Applications 5 Journal of Dynamics and Differential Equations 5 Indagationes Mathematicae. New Series 5 Mathematical Problems in Engineering 5 International Journal of Applied Mathematics and Computer Science 5 Mathematics in Computer Science ...and 309 more Serials all top 5 Cited in 61 Fields 1,348 Combinatorics (05-XX) 726 Numerical analysis (65-XX) 529 Operations research, mathematical programming (90-XX) 199 Geometry (51-XX) 193 Linear and multilinear algebra; matrix theory (15-XX) 154 Information and communication theory, circuits (94-XX) 145 Group theory and generalizations (20-XX) 144 Computer science (68-XX) 86 Statistics (62-XX) 75 Systems theory; control (93-XX) 66 Ordinary differential equations (34-XX) 55 Calculus of variations and optimal control; optimization (49-XX) 54 Mechanics of deformable solids (74-XX) 52 Biology and other natural sciences (92-XX) 51 Dynamical systems and ergodic theory (37-XX) 51 Convex and discrete geometry (52-XX) 39 Number theory (11-XX) 33 Partial differential equations (35-XX) 26 Special functions (33-XX) 26 Probability theory and stochastic processes (60-XX) 26 Quantum theory (81-XX) 23 Real functions (26-XX) 23 Functions of a complex variable (30-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 20 Order, lattices, ordered algebraic structures (06-XX) 19 Operator theory (47-XX) 18 Mathematical logic and foundations (03-XX) 15 Field theory and polynomials (12-XX) 15 Nonassociative rings and algebras (17-XX) 13 Algebraic geometry (14-XX) 13 Mechanics of particles and systems (70-XX) 12 Associative rings and algebras (16-XX) 11 Manifolds and cell complexes (57-XX) 10 Approximations and expansions (41-XX) 10 Algebraic topology (55-XX) 9 Commutative algebra (13-XX) 9 Fluid mechanics (76-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Topological groups, Lie groups (22-XX) 8 Functional analysis (46-XX) 7 Measure and integration (28-XX) 7 Abstract harmonic analysis (43-XX) 6 History and biography (01-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) 3 Global analysis, analysis on manifolds (58-XX) 3 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 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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