World's Best Scientists 2026 revealed!
Arnold Neumaier

Arnold Neumaier

D-Index & Metrics

Mathematics

D-Index
49
Citations
18879
World Ranking
1112
National Ranking
16

Computer Science

D-Index
44
Citations
17489
World Ranking
7372
National Ranking
59

Arnold Neumaier publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Arnold Neumaier sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 266 publications — 80th percentile

80% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Arnold Neumaier D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Arnold Neumaier sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 49 D-Index — 69th percentile

69% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Arnold Neumaier is affiliated with the University of Vienna in Austria and has contributed extensively to the fields of computer science and mathematics. Their research spans several subfields including numerical analysis, computational theory and mathematics, artificial intelligence, atomic and molecular physics and optics, as well as statistical and nonlinear physics.

The scientist's work prominently addresses advanced optimization algorithms research, covering topics such as:

  • Advanced Optimization Algorithms Research
  • Quantum Mechanics and Applications
  • Advanced Graph Theory Research
  • Iterative Methods for Nonlinear Equations
  • Sparse and Compressive Sensing Techniques
  • Metaheuristic Optimization Algorithms Research
  • Advanced Control Systems Optimization

Neumaier has published in various venues with multiple contributions to "Mathematical Programming Computation." Other publication venues include "arXiv (Cornell University)," "ACM Journal of Experimental Algorithmics," "Numerical Algorithms," and "Entropy."

Key papers authored or co-authored by Neumaier include:

  • "On Bounding the Diameter of a Distance-Regular Graph," 2021, COMBINATORICA
  • "Globally linearly convergent nonlinear conjugate gradients without Wolfe line search," 2024, Numerical Algorithms

Frequent collaborators in Neumaier's research are Morteza Kimiaei, Behzad Azmi, Hermann Schichl, Safet Penjić, and Arash Ghaani Farashahi. Among these, Morteza Kimiaei has co-authored multiple publications with them.

Neumaier's scholarly output includes work on black box optimization and bound-constrained optimization, often contributing to the development and analysis of computational methods in these areas.

Best Publications

  • Distance-Regular Graphs

    Andries E Brouwer;Arjeh M Cohen;Arnold Neumaier

  • Interval methods for systems of equations

    Arnold Neumaier

  • Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on Regularization

    Arnold Neumaier

  • A global optimization method, αBB, for general twice-differentiable constrained NLPs — I. Theoretical advances

    C.S. Adjiman;S. Dallwig;C.A. Floudas;A. Neumaier

  • Global Optimization by Multilevel Coordinate Search

    Waltraud Huyer;Arnold Neumaier

  • Estimation of parameters and eigenmodes of multivariate autoregressive models

    Arnold Neumaier;Tapio Schneider

  • Complete search in continuous global optimization and constraint satisfaction

    Arnold Neumaier

  • Restricted maximum likelihood estimation of covariances in sparse linear models

    Arnold Neumaier;Eildert Groeneveld

  • Algorithm 808: ARfit—a matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive models

    Tapio Schneider;Arnold Neumaier

  • SNOBFIT -- Stable Noisy Optimization by Branch and Fit

    Waltraud Huyer;Arnold Neumaier

  • Introduction to Numerical Analysis

    Arnold Neumaier

  • Molecular Modeling of Proteins and Mathematical Prediction of Protein Structure

    Arnold Neumaier

  • Taylor Forms—Use and Limits

    Arnold Neumaier

  • Safe bounds in linear and mixed-integer linear programming

    Arnold Neumaier;Oleg Shcherbina

  • A comparison of complete global optimization solvers

    Arnold Neumaier;Oleg Shcherbina;Waltraud Huyer;Tamás Vinkó

  • RESIDUAL INVERSE ITERATION FOR THE NONLINEAR EIGENVALUE PROBLEM

    A. Neumaier

  • Clouds, Fuzzy Sets, and Probability Intervals

    Arnold Neumaier

  • Benchmarking global optimization and constraint satisfaction codes

    Oleg Shcherbina;Arnold Neumaier;Djamila Sam-Haroud;Xuan-Ha Vu

  • Linear Systems with Large Uncertainties, with Applications to Truss Structures

    Arnold Neumaier;Andrzej Pownuk

  • Interval Slopes for Rational Functions and Associated Centered Forms

    R. Krawczyk;A. Neumaier

Frequent Co-Authors

Andries E. Brouwer
Andries E. Brouwer Eindhoven University of Technology
Damien Stehlé
Damien Stehlé École Normale Supérieure de Lyon
Vladik Kreinovich
Vladik Kreinovich The University of Texas at El Paso
Tapio Schneider
Tapio Schneider California Institute of Technology
Christodoulos A. Floudas
Christodoulos A. Floudas Texas A&M University
Boi Faltings
Boi Faltings École Polytechnique Fédérale de Lausanne
Pascal Van Hentenryck
Pascal Van Hentenryck Georgia Institute of Technology
Claire S. Adjiman
Claire S. Adjiman Imperial College London
Thilo Hofmann
Thilo Hofmann University of Vienna
Jean-Pierre Merlet
Jean-Pierre Merlet French Institute for Research in Computer Science and Automation - INRIA

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