Arnold Neumaier

14.7k total citations · 4 hit papers
194 papers, 9.4k citations indexed

About

Arnold Neumaier is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Artificial Intelligence. According to data from OpenAlex, Arnold Neumaier has authored 194 papers receiving a total of 9.4k indexed citations (citations by other indexed papers that have themselves been cited), including 99 papers in Computational Theory and Mathematics, 60 papers in Numerical Analysis and 32 papers in Artificial Intelligence. Recurrent topics in Arnold Neumaier's work include Numerical Methods and Algorithms (48 papers), Advanced Optimization Algorithms Research (45 papers) and Matrix Theory and Algorithms (22 papers). Arnold Neumaier is often cited by papers focused on Numerical Methods and Algorithms (48 papers), Advanced Optimization Algorithms Research (45 papers) and Matrix Theory and Algorithms (22 papers). Arnold Neumaier collaborates with scholars based in Austria, Germany and United States. Arnold Neumaier's co-authors include Andries E. Brouwer, Arjeh M. Cohen, Tapio Schneider, Eldon Hansen, Waltraud Huyer, Eildert Groeneveld, Christodoulos A. Floudas, Claire S. Adjiman, Oleg Shcherbina and Hermann Schichl and has published in prestigious journals such as Physical Review Letters, Journal of Hydrology and Chemical Physics Letters.

In The Last Decade

Arnold Neumaier

188 papers receiving 8.6k citations

Hit Papers

Distance-Regular Graphs 1989 2026 2001 2013 1989 1991 1994 1998 500 1000 1.5k

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author Last Decade Papers Cites
Arnold Neumaier 3.8k 1.8k 1.6k 1.5k 1.4k 194 9.4k
Jeffrey C. Lagarias 2.2k 0.6× 1.3k 0.7× 545 0.3× 1.2k 0.8× 411 0.3× 192 10.8k
Alan Edelman 1.3k 0.3× 1.4k 0.8× 595 0.4× 1.5k 1.0× 359 0.2× 122 9.7k
Richard P. Brent 2.5k 0.6× 1.7k 0.9× 644 0.4× 961 0.7× 190 0.1× 193 7.3k
Werner C. Rheinboldt 5.3k 1.4× 718 0.4× 5.7k 3.6× 1.5k 1.1× 160 0.1× 132 15.7k
Luc Devroye 1.1k 0.3× 5.2k 2.9× 477 0.3× 400 0.3× 219 0.2× 272 12.0k
Felix R. Gantmacher 2.3k 0.6× 481 0.3× 1.1k 0.7× 790 0.5× 205 0.1× 9 6.9k
Tom M. Apostol 998 0.3× 748 0.4× 421 0.3× 438 0.3× 867 0.6× 125 6.8k
N. J. A. Sloane 4.7k 1.2× 8.7k 4.9× 706 0.4× 7.4k 5.1× 2.8k 1.9× 238 19.4k
Ulf Grenander 1.2k 0.3× 2.0k 1.1× 370 0.2× 576 0.4× 129 0.1× 136 11.3k
Peter Lancaster 3.8k 1.0× 501 0.3× 2.2k 1.4× 955 0.7× 66 0.0× 184 10.3k

Countries citing papers authored by Arnold Neumaier

Since Specialization
Citations

This map shows the geographic impact of Arnold Neumaier's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Arnold Neumaier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Arnold Neumaier more than expected).

Fields of papers citing papers by Arnold Neumaier

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Arnold Neumaier. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Arnold Neumaier. The network helps show where Arnold Neumaier may publish in the future.

Co-authorship network of co-authors of Arnold Neumaier

This figure shows the co-authorship network connecting the top 25 collaborators of Arnold Neumaier. A scholar is included among the top collaborators of Arnold Neumaier based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Arnold Neumaier. Arnold Neumaier is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Neumaier, Arnold, et al.. (2024). An active set method for bound-constrained optimization. Optimization methods & software. 39(6). 1216–1240. 3 indexed citations
2.
Neumaier, Arnold, et al.. (2024). An improvement of the Goldstein line search. Optimization Letters. 18(6). 1313–1333. 3 indexed citations
3.
Neumaier, Arnold, et al.. (2012). Continuity Notions for Multi-Valued Mappings with Possibly Disconnected Images.. Reliable Computing. 16. 84–101. 2 indexed citations
4.
Neumaier, Arnold, et al.. (2010). Standardized notation in interval analysis. 15(1). 55 indexed citations
5.
Крейнович, Владик, Arnold Neumaier, & Gang Xiang. (2008). Towards a Combination of Interval and Ellipsoid Uncertainty. scholarworks - UTEP (The University of Texas at El Paso). 13(6). 4 indexed citations
6.
Fourer, Robert, et al.. (2007). Convexity and Concavity Detection in Computational Graphs. Tree Walks for Convexity Proving. PolyPublie (École Polytechnique de Montréal). 1–25. 1 indexed citations
7.
Neumaier, Arnold. (2007). Certified error bounds for uncertain elliptic equations. Journal of Computational and Applied Mathematics. 218(1). 125–136. 3 indexed citations
8.
Neumaier, Arnold, et al.. (2004). Global Optimization and Constraint Satisfaction: First International Workshop Global Constraint Optimization and Constraint Satisfaction, Cocos 2002, Valbonne-Sophia Antipolis, France, October 2002 (Lecture Notes in Computer Science, 2861). Springer eBooks. 1 indexed citations
9.
Leonhardt, Ulf & Arnold Neumaier. (2003). Explicit effective Hamiltonians for linear quantum-optical networks. arXiv (Cornell University). 3 indexed citations
10.
Neumaier, Arnold. (2001). Generalized Lyapunov–Schmidt reduction for parametrized equations at near singular points. Linear Algebra and its Applications. 324(1-3). 119–131. 2 indexed citations
11.
Neumaier, Arnold, et al.. (1992). Exceptional graphs with smallest eigenvalue -2 and related problems. Mathematics of Computation. 59(200). 583–608. 21 indexed citations
12.
Neumaier, Arnold. (1992). Completely regular codes. Discrete Mathematics. 106-107. 353–360. 54 indexed citations
13.
Neumaier, Arnold, et al.. (1990). The Krawczyk operator and Kantorovich's theorem. Journal of Mathematical Analysis and Applications. 149(2). 437–443. 13 indexed citations
14.
Neumaier, Arnold. (1990). Derived eigenvalues of symmetric matrices, with applications to distance geometry. Linear Algebra and its Applications. 134. 107–120. 1 indexed citations
15.
Neumaier, Arnold & J.J. Seidel. (1988). Discrete measures for spherical designs, eutactic stars and lattices. Indagationes Mathematicae (Proceedings). 91(3). 321–334. 47 indexed citations
16.
Neumaier, Arnold. (1986). On the comparison of H-matrices with M-matrices. Linear Algebra and its Applications. 83. 135–141. 11 indexed citations
17.
Neumaier, Arnold, et al.. (1984). Some Tuple system constructions with applications to resolvable designs. Journal of Combinatorial Theory Series A. 36(1). 92–100.
18.
Neumaier, Arnold. (1982). A Better Estimate for Fixed Points of Contractions. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 62(11). 627–627. 3 indexed citations
19.
Neumaier, Arnold. (1982). The second largest eigenvalue of a tree. Linear Algebra and its Applications. 46. 9–25. 64 indexed citations
20.
Neumaier, Arnold. (1980). t 1/2 - Designs.. Journal of Combinatorial Theory Series A. 28. 226–248. 10 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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