Publications by Arnold Neumaier

Of making many books there is no end, and much study wearies the body.
(Eccl. 12:12)

A= Analysis, C = Combinatorics, F = Foundations
L = Linear Algebra, N = Numerical Analysis, O = Optimization,
P = Physics/Chemistry, S = Statistics,
* = Comprehensive state of the art survey article or book, + = other highly significant publication,


A. Neumaier and D. Westra, Classical and Quantum Mechanics via Lie algebras, to appear (2012?).

Ch. Jermann, A. Neumaier and D. Sam (eds.), Global Optimization and Constraint Satisfaction, 193 pp., Lecture Notes in Computer Science 3478, Springer-Verlag, Berlin 2005.

Ch. Bliek, Ch. Jermann and A. Neumaier (eds.), Global Optimization and Constraint Satisfaction, 238 pp., Lecture Notes in Computer Science 2861, Springer-Verlag, Berlin 2003.

A. Neumaier, Introduction to Numerical Analysis, 356 pp., Cambridge Univ. Press, Cambridge 2001.

A. Neumaier, Interval Methods for Systems of Equations. 255 pp., Encyclopedia of Mathematics and its Applications 37, Cambridge Univ. Press, Cambridge 1990.

A.E. Brouwer, A.M. Cohen and A. Neumaier, Distance Regular Graphs, 495 pp., Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 18, Springer, Berlin 1989.

Chapters in Books

P. Schodl, A. Neumaier, K. Kofler, F. Domes, and H. Schichl, Towards a Self-reflective, Context-aware Semantic Representation of Mathematical Specifications, Chapter 3 in: Modeling Languages in Mathematical Optimization (J. Kallrath, ed.), Springer, 2012.

M. Fuchs, D. Girimonte, D. Izzo, and A. Neumaier, Robust and automated space system design, Chapter (pp. 251-272) in: Robust intelligent systems (A. Schuster, ed.), Springer, 2008.

A. Neumaier, Complete Search in Continuous Global Optimization and Constraint Satisfaction, Chapter (pp. 271-369) in: Acta Numerica 2004 (A. Iserles, ed.), Cambridge University Press 2004.

H. Schichl and A. Neumaier, The NOP-2 Modeling Language, Chapter 15 in: Modeling Languages in Mathematical Optimization (J. Kallrath, ed.), Applied Optimization, Vol. 88, Kluwer, Boston 2004.

A. Neumaier, Mathematical Model Building, Chapter 3 in: Modeling Languages in Mathematical Optimization (J. Kallrath, ed.), Applied Optimization, Vol. 88, Kluwer, Boston 2004.

Submitted for Publication

W. Huyer and A. Neumaier, MINQ8 - general definite and bound constrained indefinite quadratic programming, Manuscript (2016).

A. Baharev, A. Neumaier, and H. Schichl, Tearing systems of nonlinear equations II. A practical exact algorithm, Manuscript (2016).

A. Baharev, A. Neumaier, and H. Schichl, Tearing systems of nonlinear equations I. A survey, Manuscript (2016).

A. Baharev, A. Neumaier, and H. Schichl, An exact method for the minimum feedback arc set problem, Manuscript (2016).

M. Ahookhosh and A. Neumaier, Solving nonsmooth convex optimization with complexity O(ε-1/2), Manuscript (2015).

M. Ahookhosh and A. Neumaier, An optimal subgradient algorithm with subspace search for costly convex optimization problems, Manuscript (2015).

Accepted for Publication

Articles in Refereed Journals

T. Montanher, F. Domes, H. Schichl and A. Neumaier, Using interval unions to solve linear systems of equations with uncertainties, BIT Numerical Mathematics, published online 22 April 2017. DOI: 10.1007/s10543-017-0657-x

M. Ahookhosh and A. Neumaier, An optimal subgradient algorithm for large-scale bound-constrained convex optimization, Mathematical Methods of Operations Research, published online 12 April 2017. DOI: 10.1007/s00186-017-0585-1

M. Ahookhosh and A. Neumaier, An optimal subgradient algorithm for large-scale convex optimization in simple domains, Numerical Algorithms, published online 17 March 2017. DOI 10.1007/s11075-017-0297-x

A. Baharev, F. Domes and A. Neumaier, A robust approach for finding all well-separated solutions of sparse systems of nonlinear equations, Numerical Algorithms, published online: 17 December 2016. DOI 10.1007/s11075-016-0249-x

H. Fendl, A. Neumaier and H. Schichl, Certificates of infeasibility via nonsmooth optimization, J. Global Optimization, published online 28 October 2016. DOI 10.1007/s10898-016-0473-x

A. Neumaier, Bounding basis reduction properties, Designs, Codes and Cryptography, published online 15 September 2016. DOI: 10.1007/s10623-016-0273-9

A. Neumaier and U.K. Deiters, The characteristic curves of water, Int. J. Thermophysics, published online July 23, 2016. DOI: 10.1007/s10765-016-2098-1.

U.K. Deiters and A. Neumaier, Computer simulation of the characteristic curves of pure fluids, J. Chem. Eng. Data, published online March 24, 2016. DOI: 10.1021/acs.jced.6b00133.

T. Iqbal and A. Neumaier, Worst case error bounds for the solution of uncertain Poisson equations with mixed boundary conditions, J. Comput. Appl. Math. 303 (2016), 40-55.

F. Domes and A. Neumaier, Linear and parabolic relaxations for quadratic constraints, J. Global Optimization 65 (2016), 457-486. (published online: 06 November 2015)

A. Neumaier, OSGA: A fast subgradient algorithm with optimal complexity, Math. Programming A 158 (2016), 1-21. (published online: 16 May 2015)

F. Domes and A. Neumaier, Constraint aggregation for rigorous global optimization, Math. Programming A 155 (2016), 375-401. (published online: 16. December 2014).

F. Domes and A. Neumaier, Rigorous verification of feasibility, J. Global Optimization 61 (2015), 255-278.

A. Goldsztejn and A. Neumaier, On the Exponentiation of Interval Matrices, Reliable Computing 20 (2014), 53-72.

A. Bichler, A. Neumaier and T. Hofmann, A tree-based statistical classification algorithm (CHAID) for identifying variables responsible for the occurrence of faecal indicator bacteria during waterworks operations, J. Hydrology 519 A (2014), 909-917.

B. Banhelyi, T. Csendes, T. Kristin and A. Neumaier, Global attractivity of the zero solution for Wright's equation, SIAM J. Applied Dynamical Systems 13 (2014), 537--563.

A. Neumaier, A global analytic critical equations of state, J. Statist. Phys. 155 (2014), 603-624. arXiv:1401.0291

H. Schichl, M.C. Markot and A. Neumaier, Exclusion regions for optimization problems, J. Global Optimization 59 (2014), 569-595.

A. Baharev and A. Neumaier, A globally convergent method for finding all steady-state solutions of distillation columns, AIChE Journal 60 (2014), 410-414.

F. Domes, M. Fuchs, H. Schichl and A. Neumaier, The optimization test environment, Optimization and Engineering 15 (2014), 443-468.

S. Das and A. Neumaier, Solving overdetermined eigenvalue problems, SIAM J. Sci. Comput. 35 (2013), A541-A560.

Q. Fazal and A. Neumaier, Error bounds for initial value problems by optimization, Soft Computing 17 (2013), 1345-1356.

L. Pal, T. Csendes, M.C. Markot and A. Neumaier, Black-box optimization benchmarking of the GLOBAL method, Evolutionary Computation 20 (2012), 609-639.

P. Schodl and A. Neumaier, Continuity notions for multi-valued mappings, Reliable Computing 16 (2012), 84-101.

F. Domes and A. Neumaier, Rigorous filtering using linear relaxations, J. Global Optimization 53 (2012), 441-473.

F. Domes and A. Neumaier, Rigorous enclosures of ellipsoids and directed Cholesky factorizations, SIAM J. Matrix Anal. Appl. 32 (2011), 262-285.

A. Neumaier, H. Fendl, H. Schilly, T. Leitner, Derivative-free unconstrained optimization based on QR factorizations, Soft Computing 15 (2011), 2287-2298.

M. Fuchs and A. Neumaier, A splitting technique for discrete search based on convex relaxation, J. Uncertain Systems 4 (2010), 14-21.

F. Domes and A. Neumaier, Constraint propagation on quadratic constraints, Constraints 15 (2010), 404-429.

R. Fourer, C. Maheshwari, A. Neumaier, D. Orban, and H. Schichl, Convexity and Concavity Detection in Computational Graphs. Tree Walks for Convexity Assessment, INFORMS J. Computing 22 (2010), 26-43.

M. Fuchs and A. Neumaier, Potential based clouds in robust design optimization, J. Stat. Theory Practice 3 (2009), 225-238.

M. Fuchs and A. Neumaier, Autonomous robust design optimization with potential clouds, Int. J. Reliability Safety 3 (2009), 23-34.

V. Kreinovich, A. Neumaier, and Gang Xiang, Towards a Combination of Interval and Ellipsoid Uncertainty, Vych. Techn. (Computational Technologies) 13 (2008), 5-16.

W. Huyer and A. Neumaier, Snobfit - Stable Noisy Optimization by Branch and Fit, ACM Trans. Math. Software 35 (2008), Article 9.

F. Domes and A. Neumaier, A scaling algorithm for polynomial constraint satisfaction problems, J. Global Optimization 42 (2008), 327-345.

A. Neumaier, Certified error bounds for uncertain elliptic equations, J. Comput. Appl. Math. 218 (2008), 125-136.

M. Fuchs, A. Neumaier, and D. Girimonte, Uncertainty modeling in autonomous robust spacecraft system design, Proc. Appl. Math. Mech. 7 (2007), 2060041-2060042.

R. Woo and A. Neumaier, On graphs whose spectral radius is bounded by 3/2 sqrt(2), Graphs and Combinatorics 23 (2007), 1-14.

T. Vinko and A. Neumaier, New bounds for Morse clusters, J. Global Optimization 39 (2007), 483-494.

A. Neumaier and A. Pownuk, Linear systems with large uncertainties, with applications to truss structures, Reliable Computing 13 (2007), 149-172.

H. Schichl and A. Neumaier, Transposition theorems and qualification-free optimality conditions, Siam J. Optimization 17 (2006), 1035-1055.

H. Schichl and A. Neumaier, Interval Analysis on Directed Acyclic Graphs for Global Optimization, J. Global Optimization 33 (2005), 541-562.

A. Neumaier, O. Shcherbina, W. Huyer and T. Vinko, A comparison of complete global optimization solvers, Math. Programming B 103 (2005), 335-356.

H. Schichl and A. Neumaier, Exclusion regions for systems of equations, SIAM J. Numer. Anal. 42 (2004), 383-408

A. Neumaier, Clouds, Fuzzy Sets and Probability Intervals, Reliable Computing 10 (2004), 249-272.

A. Neumaier, Dual polar spaces as extremal distance-regular graphs, Europ. J. Combinatorics 25 (2004), 269-274.

W. Huyer and A. Neumaier, Integral approximation of rays and verification of feasibility, Reliable Computing 10 (2004), 195-207.

A. Neumaier and O. Shcherbina, Safe bounds in linear and mixed-integer programming, Math. Programming A 99 (2004), 283-296.

U. Leonhardt and A. Neumaier, Explicit effective Hamiltonians for linear quantum-optical networks, J. Optics B: Quantum Semiclass. Opt. 6 (2004), L1-L6. quant-ph/0306123

P. Frantsuzov, A. Neumaier and V.A. Mandelshtam, Gaussian resolutions for equilibrium density matrices, Chem. Phys. Letters 381 (2003), 117-122. quant-ph/0306124

A. Neumaier, Ensembles and experiments in classical and quantum physics, Int. J. Mod. Phys. B 17 (2003), 2937-2980. quant-ph/0303047

A. Neumaier, Enclosing clusters of zeros of polynomials, J. Comput. Appl. Math. 156 (2003), 389-401.

W. Huyer and A. Neumaier, A new exact penalty function, SIAM J. Optimization 13 (2003), 1141-1158.

A. Neumaier, Fuzzy modeling in terms of surprise, Fuzzy Sets and Systems 135 (2003), 21-38.

A. Neumaier, Rational functions with prescribed global and local minimizers, J. Global Optimization 25 (2003), 175-181.

C.A. Meyer, C.A. Floudas, and A. Neumaier, Global optimization with non-factorable constraints, Industrial and Engineering Chemistry Research, 25 (2002), 6413-6424.

A. Neumaier, Taylor forms - use and limits, Reliable Computing 9 (2002), 43-79.

V.A. Mandelshtam and A. Neumaier, Further generalization and numerical implementation of pseudo-time Schrödinger equations for quantum scattering calculations, J. Theor. Comput. Chemistry 1 (2002), 1-15. physics/0204049

A. Neumaier, Grand challenges and scientific standards in interval analysis, Reliable Computing 8 (2002), 313-320.

H. Schichl, A. Neumaier and S. Dallwig, The NOP-2 modeling language, Ann. Oper. Research 104 (2001), 281-312.

A. Neumaier and T. Schneider, Estimation of parameters and eigenmodes of multivariate autoregressive models, ACM Trans. Math. Softw. 27 (2001), 27-57.

T. Schneider and A. Neumaier, Algorithm 808: ARfit - A Matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive models, ACM Trans. Math. Softw. 27 (2001), 58-65.

A. Neumaier and V.A. Mandelshtam, Pseudo-time Schrödinger equation with absorbing potential for quantum scattering calculations, Phys. Rev. Lett. 86 (2001), 5031-5034. physics/0101032.

A. Neumaier, Generalized Lyapunov-Schmidt reduction for parametrized equations at near singular points, Linear Algebra Appl. 324 (2001), 119-131.

G.W. Weber, J. Kim, A. Neumaier, C.C. Magori, C.B. Saanane, W. Recheis and H. Seidler, Thickness mapping of the occipital bone on CT-data - a new approach applied on OH9, Acta Anthrop. Sin. Suppl. 19 (2000), 37-46.

R.B. Kearfott, J. Dian and A. Neumaier, Existence verification for singular zeros of nonlinear systems, SIAM J. Numer. Anal. 38 (2000), 360-379.

A. Neumaier, On Shary's algebraic approach for linear interval equations, SIAM J. Matrix Anal. Appl. 21 (2000), 1156-1162.

W. Huyer and A. Neumaier, Global optimization by multilevel coordinate search, J. Global Optimization 14 (1999), 331-355.

A. Neumaier, A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations, Reliable Computing 5 (1999), 131-136. Erratum, Reliable Computing 6 (2000), 227.

C.S. Adjiman, S. Dallwig, C.A. Floudas and A. Neumaier, A global optimization method, alphaBB, for general twice-differentiable constrained NLPs - I. Theoretical advances, Computers and Chemical Engineering 22 (1998), 1137-1158.

A. Neumaier, Solving ill-conditioned and singular linear systems: A tutorial on regularization, SIAM Review 40 (1998), 636-666.

A. Neumaier and E. Groeneveld, Restricted maximum likelihood estimation of covariances in sparse linear models, Genet. Sel. Evol. 30 (1998), 3-26.

L.C. Kaufman and A. Neumaier, Regularization of ill-posed problems by envelope guided conjugate gradients, J. Comput. Graph. Stat. 6 (1997), 451-463.
scanned text

A. Neumaier, Molecular modeling of proteins and mathematical prediction of protein structure, SIAM Rev. 39 (1997), 407-460.

A. Neumaier, Scaling and structural condition numbers, Linear Algebra Appl. 263 (1997), 157-165.

C. Elster and A. Neumaier, A trust region method for the optimization of noisy functions, Computing 58 (1997), 31-46.

A. Neumaier, Second-order sufficient optimality conditions for local and global nonlinear programming, J. Global Optim. 9 (1996), 141-151.

L.C. Kaufman and A. Neumaier, PET regularization by envelope guided conjugate gradients, IEEE Trans. Medical Imag. 15 (1996), 385-389.
scanned text

A. Neumaier and M. Olschowka, A new pivoting strategy for Gaussian elimination, Linear Algebra Appl. 240 (1996), 131-151.

C. Elster and A. Neumaier, Screening by conference designs, Biometrika 82 (1995), 589-602.

C. Elster and A. Neumaier, A grid algorithm for bound constrained optimization of noisy functions, IMA J. Numer. Anal. 15 (1995), 585-608.

R. Woo and A. Neumaier, On graphs whose smallest eigenvalue is at least -1-sqrt(2), Linear Algebra Appl. 226-228 (1995), 577-592.

A. Neumaier, Hybrid norms and bounds for overdetermined linear systems, Linear Algebra Appl. 216 (1995), 257-266.
scanned text

T. Rage, A. Neumaier and C. Schlier, Rigorous verification of chaos in a molecular model, Phys. Rev. E. 50 (1994), 2682-2688.

A. Neumaier, Global, rigorous and realistic bounds for the solution of dissipative differential equations. Part I: Theory, Computing 52 (1994), 315-336.

A. Neumaier and T. Rage, Rigorous chaos verification in discrete dynamical systems, Physica D 67 (1993), 327-346.
scanned text

A. Neumaier, The wrapping effect, ellipsoid arithmetic, stability and confidence regions, Computing Supplementum 9 (1993), 175-190.
scanned text

A. Neumaier and J.J. Seidel, Measures of strength 2e, and e-optimal designs, Sankhya 54 (1992), 299-309.
scanned text

F.C. Bussemaker and A. Neumaier, Exceptional graphs with smallest eigenvalue -2 and related problems, Math. Comput. 59 (1992), 583-608.
scanned text (1178K)

A. Neumaier, Completely regular codes, Discrete Math. 106/107 (1992), 353-360.
scanned text

A. Neumaier, An optimality criterion for global quadratic optimization, J. Global Optimization 2 (1992), 201-208.
scanned text

Shen Zuhe, A. Neumaier and M.C. Eiermann, Solving minimax problems by interval methods, BIT 30 (1990), 742-751.
scanned text

A. Neumaier, Krein conditions and near polygons, J. Combin. Theory, Ser. A 54 (1990), 201-209.
scanned text

A. Neumaier, Derived eigenvalues of symmetric matrices, with applications to distance geometry, Linear Algebra Appl. 134 (1990), 107-120.
scanned text

Shen Zuhe and A. Neumaier, The Krawczyk operator and Kantorovich's theorem, J. Math. Anal. Appl. 149 (1990), 437-443.
scanned text

A. Neumaier, Rigorous sensitivity analysis for parameter-dependent systems of equations, J. Math. Anal. Appl. 144 (1989), 16-25.
scanned text

A. Neumaier, Duality in coherent configurations, Combinatorica 9 (1989), 59-67.
scanned text

A.E. Brouwer and A. Neumaier, The graphs with largest eigenvalue between 2 and sqrt(2 + sqrt(5)), Linear Algebra Appl. 114/115 (1989), 273-276.
scanned text

A. Neumaier, Graph representations, two-distance sets and equiangular lines, Linear Algebra Appl. 114/115 (1989), 141-156.
scanned text

A. Neumaier and J.J. Seidel, Discrete measures for spherical designs, eutactic stars and lattices, Proc. Kon. Ned. Akad. Wet., Ser. A., 91 (1988), 321-334.
scanned text

A.E. Brouwer and A. Neumaier, A remark on partial linear spaces of girth 5 with an application to strongly regular graphs, Combinatorica 8 (1988), 57-61.
scanned text

A. Neumaier, An existence test for root clusters and multiple roots, Z. Angew. Math. Mech. 68 (1988), 256.
scanned text

Shen Zuhe and A. Neumaier, A note on Moore's interval test for zeros of nonlinear systems, Computing 40 (1988), 85-90.
scanned text

A. Neumaier, Overestimation in linear interval equations, SIAM J. Numer. Anal. 24 (1987), 207-214.
scanned text

A. Neumaier, Further results on linear interval equations, Linear Algebra Appl. 87 (1987), 155-179.
scanned text

R. Krawczyk and A. Neumaier, Interval Newton operators for function strips, J. Math. Anal. Appl. 124 (1987), 52-72.
scanned text

A. Neumaier, Some relations between roots, holes, and pillars, Europ. J. Combinatorics 8 (1987), 29-33.
scanned text

A. Neumaier, On the comparison of H-matrices with M-matrices, Linear Algebra Appl. 83 (1986), 135-141.
scanned text

R. Krawczyk and A. Neumaier, An improved interval Newton operator, J. Math. Anal. Appl. 118 (1986), 194-207.
scanned text

A. Neumaier, Existence of solutions of piecewise differentiable systems of equations, Arch. Math. 47 (1986), 443-447.
scanned text

A. Schäfer and A. Neumaier, Divided differences, shift transformations, and Larkin's root finding method, Math. Comput. 45 (1985), 181-196.
scanned text

A. Neumaier, Residual inverse iteration for the nonlinear eigenvalue problem, SIAM J. Numer. Anal. 22 (1985), 914-923.
scanned text

A. Neumaier, Interval iteration for zeros of systems of equations, BIT 25 (1985), 256-273.
scanned text

A. Neumaier, Existence regions and error bounds for implicit and inverse functions, Z. Angew. Math. Mech. 65 (1985), 49-55.
scanned text

R. Krawczyk and A. Neumaier, Interval slopes for rational functions and associated centered forms, SIAM J. Numer. Anal. 22 (1985), 604-616.
scanned text

A. Neumaier, Inner product rounding error analysis in the presence of underflow, Computing 34 (1985), 365-373.
scanned text

A. Neumaier, Characterization of a class of distance regular graphs, J. Reine Angew. Math. 357 (1985), 182-192.
scanned text

A. Neumaier and R.S. Varga, Exact convergence and divergence domains for the symmetric successive overrelaxation (SSOR) iterative method applied to H-matrices, Linear Algebra Appl. 58 (1984), 261-272.
scanned text

A. Neumaier, An interval version of the secant method, BIT 24 (1984), 366-372.
scanned text

A. Neumaier, New techniques for the analysis of linear interval equations, Linear Algebra Appl. 58 (1984), 273-329.
scanned text (1765K)

A. Neumaier, The extremal case of some matrix inequalities, Archiv Math. 43 (1984), 137-141.
scanned text

A. Neumaier, Eigenwertabschätzungen für Matrizen, J. Reine Angew. Math. 354 (1984), 206-212.
scanned text

A. Neumaier and R.B. McFeat, Some tuple system constructions with applications to resolvable designs, J. Combin. Theory (Ser. A) 36 (1984), 92-100.
scanned text

A. Neumaier, Some sporadic geometries related to PG(3,2), Archiv Math. 42 (1984), 89-96.
scanned text

A. Neumaier, Lattices of simplex type, SIAM J. Alg. Discr. Methods 4 (1983), 145-160.
scanned text

A. Neumaier and J.J. Seidel, Discrete hyperbolic geometry, Combinatorica 3 (1983), 219-327.
scanned text

K.E. Wolff and A. Neumaier, Inequalities for point stable designs, Ann. Discr. Math. 18 (1983), 653-660.
scanned text

A. Neumaier, On norm three vectors in integral Euclidean lattices. I, Math. Z. 183 (1983), 565-574.
scanned text

A. Neumaier, Quasi-residual 2-designs, 1 1/2-designs, and strongly regular multigraphs, Geom. Dedicata 12 (1982), 351-366.
scanned text

A. Neumaier, A better estimate for fixed points of contractions, Z. Angew. Math. Mech. 62 (1982), 627.
scanned text

A. Neumaier, The second largest eigenvalue of a tree, Linear Algebra Appl. 46 (1982), 9-25.
scanned text

A. Neumaier, Rectagraphs, diagrams, and Suzuki's sporadic simple group, Ann. Discrete Math. 15 (1982), 305-318.
scanned text

A. Neumaier, Completely regular twographs, Arch. Math. 38 (1982), 378-384.
scanned text

A. Neumaier, Distance matrices, dimension, and conference graphs, Proc. Kon. Ned. Akad. Wet., Ser.A, 84 = Indagationes Math. 43 (1981), 385-391.
scanned text

A. Neumaier, Distance matrices and n-dimensional designs, Europ. J. Combinatorics 2 (1981), 165-172.
scanned text

A. Neumaier, Classification of graphs by regularity, J. Combin. Theory (Ser. B) 30 (1981), 318-331.
scanned text

A. Neumaier, Strong balanced tuple systems, 2-designs, and near vector spaces, Quart. J. Math. 32 (1981), 97-107.
scanned text

A. Neumaier, Cliques and claws in edge-transitive strongly regular graphs, Math. Z. 174 (1980), 197-202.
scanned text

A. Neumaier, Distances, graphs, and designs, Europ. J. Combinatorics 1 (1980), 163-174
scanned text

A. Neumaier, t 1/2-designs, J. Combin. Theory (Ser. A) 28 (1980), 226-248.
scanned text

A. Neumaier, Affine Ebenen und Tupelsysteme, Geom. Dedicata 8 (1979), 189-205.
scanned text

A. Neumaier, Strongly regular graphs with smallest eigenvalue -m, Archiv Math. 33 (1979), 392-400.
scanned text

A. Neumaier, On transitive commutative idempotent quasigroups, J. Austr. Math. Soc. (Ser.A), 27 (1979), 411-429.
scanned text

A. Neumaier, Tupelsysteme - eine gemeinsame Theorie für Blockpläne und orthogonale Arrays, J. Comb. Inf. System Sci. 2 (1977), 41-96 = Ph.D. Thesis, Freie Universität Berlin 1977.
scanned text (17049K)

A. Neumaier, Taktische Konfigurationen und die Gleichung at^x + bt^y = c in kommutativen Ringen mit Eins, Archiv Math. 27 (1976), 267-275.
scanned text

A. Neumaier, Inklusions- und Abstimmungssysteme, Math. Z. 141 (1975), 147-158.
scanned text

A. Neumaier, Rundungsfehleranalyse einiger Verfahren zur Summation endlicher Summen, Z. Angew. Math. Mech. 54 (1974), 39-51.
scanned text (1095K)

Articles in Refereed Proceedings

A. Neumaier and D. Stehlé, Faster LLL-type reduction of lattice bases, pp. 373-380 in: Proceedings ACM ISSAC '16, ACM, New Yourk 2016.

M. Ahookhosh and A. Neumaier, High-dimensional convex optimization via optimal affine subgradient algorithms, International Workshop on Advances in Regularization, Optimization, Kernel Methods and Support Vector Machines: Theory and Applications (ROKS 2013), Leuven, July 2013.

M. Obernosterer, P. Panek, P. Mayer, A. Neumaier, W.L. Zagler, Aktionsklassen für Handlungsabläufe im computer-gestützten Wohnen, pp. 99-105 in: Proc. eHealth 2013, Vienna, Austria (2013).

H. Schichl, A. Neumaier, M.C. Markot and F. Domes, On solving mixed-integer constraint satisfaction problems with unbounded variables, pp. 216-233 in: Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, Lecture Notes in Computer Science, Vol. 7874 (2013).

A. Baharev and A. Neumaier, Chemical Process Modeling in Modelica, pp. 955-962 in: Proc. 9th International Modelica Conference, Sept. 3-5, 2012, Munich, Germany.

K. Kofler and A. Neumaier, DynGenPar - A Dynamic Generalized Parser for Common Mathematical Language, pp. 386-401 in: Intelligent Computer Mathematics (J. Jeuring et al. , eds.), Lecture Notes in Computer Science Volume 7362 (2012)

A. Neumaier and P. Schodl, A framework for representing and processing arbitrary mathematics, pp. 476-479 in: Proc. Int. Conf. Knowledge Engineering and Ontology Development (J. Filipe and J.L.G. Dietz, eds.), SciTe Press 2010.

M. Fuchs and A. Neumaier, Handling uncertainty in higher dimensions with potential clouds towards robust design optimization, pp. 376-382 in: Soft Methods for Handling Variability and Imprecision (D. Dubois et al., eds.), Advances in Soft Computing, Vol. 48, Springer 2008.

M. Fuchs and A. Neumaier, Uncertainty modeling with clouds in autonomous robust design optimization, pp. 1-22 in: Proc. 3rd Int. Workshop Reliable Engineering Computing, Savannah, Georgia, USA, 2008.

A. Neumaier, Computer-assisted proofs, in: (W. Luther and W. Otten, eds.) Proc. 12th GAMM-IMACS Symp. Sci. Comp., (SCAN 2006). IEEE Computer Society, 2007.

R.B. Kearfott, M.T. Nakao, A. Neumaier, S.M. Rump, S.P. Shary, and P. van Hentenryck, Standardized notation in interval analysis, pp. 106-113 in: Proc. XIII Baikal International School-seminar "Optimization methods and their applications", Irkutsk, Baikal, July 2-8, 2005. Vol. 4 "Interval analysis". - Irkutsk: Institute of Energy Systems SB RAS, 2005.

D. Daney, Y. Papegay and A. Neumaier, Interval methods for certification of the kinematic calibration of parallel robots, pp. 191-198 in: Proc. 2004 IEEE Int. Conf. Robotics Automation, New Orleans, LA, April 2004.

O. Shcherbina, A. Neumaier, Djamila Sam-Haroud, Xuan-Ha Vu and Tuan-Viet Nguyen, Benchmarking global optimization and constraint satisfaction codes, pp.211--222 in: Ch. Bliek, Ch. Jermann and A. Neumaier (eds.), Global Optimization and Constraint Satisfaction, Springer, Berlin 2003.

J. Santos, W.A. Lodwick and A. Neumaier, A New Approach to Incorporate Uncertainty in Terrain Modeling, pp. 291-299 in: Geographic Information Science: Second International Conference, GIScience 2002, Proceedings (M. Egenhofer and D. Mark, eds.), Lecture Notes in Computer Science Vol. 2478, Springer, New York 2002.

W.A. Lodwick, A. Neumaier and F. Newman, Optimization under uncertainty: methods and applications in radiation therapy, pp. 1219-1222 in: FUZZ-IEEE'2001, Proc. 10th IEEE Int. Conf. Fuzzy Systems, 2001, Melbourne, Australia, Vol. 3.

A. Neumaier, S. Dallwig, W. Huyer and H. Schichl, New techniques for the construction of residue potentials for protein folding, pp. 212-224 in: Algorithms for Macromolecular Modelling (P. Deuflhard et al., eds.), Lecture Notes Comput. Sci. Eng. 4, Springer, Berlin 1999.

A. Neumaier, S. Dallwig and H. Schichl, GLOPT - A Program for Constrained Global Optimization, pp. 19-36 in: I. Bomze et al., eds., Developments in Global Optimization, Kluwer, Dordrecht 1997.

A. Neumaier, NOP - a Compact Input Format for Nonlinear Optimization Problems, pp. 1-18 in: I. Bomze et al., eds., Developments in Global Optimization, Kluwer, Dordrecht 1997.

A. Neumaier, The enclosure of solutions of parameter-dependent systems of equations. In: Reliability in Computing (ed. by R.E. Moore). Acad. Press, San Diego 1988, pp. 269-286.
scanned text
pdf file (831K)

A. Neumaier, Linear interval equations. In: Interval Mathematics 1985 (ed. by K. Nickel). Lecture Notes in Computer Science 212, Springer, Berlin 1986, pp. 109-120.
scanned text

A. Neumaier, Regular sets and quasi-symmetric 2-designs. In: Combinatorial Theory. Lecture Notes in Math. 969, Springer, Berlin 1982, pp. 258-275.
scanned text

A. Neumaier, Simple bounds for zeros of systems of equations. In: Iterative solution of nonlinear systems of equations. Lecture Notes in Math. 953, Springer, Berlin 1982, pp. 88-105.
scanned text

A. Neumaier, On a class of edge-regular graphs. In: Geometries and Groups. Lecture Notes in Math. 893, Springer, Berlin 1981, pp. 223-230.
scanned text

A. Neumaier, New inequalities for the parameters of an association scheme. In: Combinatorics and Graph Theory. Lecture Notes in Math. 885, Springer, Berlin 1981, pp. 365-367.
scanned text

A. Neumaier, Regular cliques in graphs and special 1 1/2-designs. In: Finite geometries and designs. LMS Lecture Note Series 49, Cambridge Univ. Press, 1981, pp. 244-259.
scanned text

Other Publications

A. Neumaier, Mathematik, Physik und Ewigkeit (mit einem Augenzwinkern betrachtet), Professorenforum-Journal 6 (2005), No. 3, 37--43.

A. Neumaier, Book review of L. Jaulin, M. Kieffer, O. Didrit and E. Walter, Applied Interval Analysis, 2001, SIAM Rev. 44 (2002), 736-739.

G.W. Weber, A. Neumaier and F.L. Bookstein, Shape analysis and reconstruction using parameterised Skull Reference Models, Coll. Antropol. 26 (Suppl.) (2002), 237.

A. Neumaier, Book review of: Janos D. Pinter: Global Optimization in Action, 1996, J. Global Optimization 12 (1998), 319-321.

A. Neumaier, Book review of: Eldon Hansen: Global Optimization Using Interval Analysis, 1992, Math. Comput. 63 (1994), 428-431.

A. Neumaier, Book review of: Payne, S.E.; Thas, J.A.: Finite Generalized Quadrangles, 1984. Jahresber. DMV 89 (1987), 47-48.

A. Neumaier, Problem 82, Discrete Math. 62 (1986), 223.

A. Neumaier, Problem 74, Discrete Math. 58 (1986), 111.

Lecture Notes and Book Manuscripts

A. Neumaier and D. Westra, Classical and Quantum Mechanics via Lie algebras, Cambridge University Press, to appear (2009?). arXiv:0810.1019

Analysis für Physiker. Vorlesungsskript. v + 259 S., Manuscript (1993).

Optimization and Nonlinear Data Analysis. A preliminary version of a book. 244 pp., Manuscript (1994).

Combinatorial Configurations in Terms of Distances. Lecture Notes. Memorandum 81-09 (Wiskunde), TH Eindhoven (1981).
scanned text (6689K)

Designs and Tuple Systems. Lecture Notes. Westfield College, University of London (1977).

Some Unpublished Papers

A. Neumaier, A multi-phase, multi-component critical equation of state, Manuscript (2013). arXiv:1307.8391

A. Neumaier, Improving interval enclosures, Manuscript (2011).

A. Neumaier, Renormalization without infinities - an elementary tutorial Manuscript (2011).

S. Das and A. Neumaier, Regularized low rank approximation of weighted data sets, Manuscript (2011).

A. Neumaier, A simple hidden variable experiment, arXiv:0706.0155

V. Kreinovich and A. Neumaier, For Piecewise Smooth Signals, l^1 Method Is the Best Among l^p: An Interval-Based Justification of an Empirical Fact, 2006

A. Neumaier, On the structure of clouds,

A. Neumaier, Tolerance analysis with interval arithmetic, Freiburger Intervall-Berichte 86/9 (1986), 5-19,
scanned text (4159K)

A. Neumaier, A distributive interval arithmetic, Freiburger Intervall-Berichte 82/10 (1982), 31-38,
pdf file (edited copy) (66K)
scanned original (3988K)