Bernd Kummer

2.5k total citations · 1 hit paper
37 papers, 1.2k citations indexed

About

Bernd Kummer is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Geometry and Topology. According to data from OpenAlex, Bernd Kummer has authored 37 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Numerical Analysis, 28 papers in Computational Theory and Mathematics and 6 papers in Geometry and Topology. Recurrent topics in Bernd Kummer's work include Advanced Optimization Algorithms Research (28 papers), Optimization and Variational Analysis (25 papers) and Iterative Methods for Nonlinear Equations (5 papers). Bernd Kummer is often cited by papers focused on Advanced Optimization Algorithms Research (28 papers), Optimization and Variational Analysis (25 papers) and Iterative Methods for Nonlinear Equations (5 papers). Bernd Kummer collaborates with scholars based in Germany, Switzerland and Czechia. Bernd Kummer's co-authors include Diethard Klatte, J. Guddat, B. Bank, A. Behle, Alexander Y. Kruger and Christian Großmann and has published in prestigious journals such as Geophysics, Journal of Mathematical Analysis and Applications and Mathematical Programming.

In The Last Decade

Bernd Kummer

37 papers receiving 1.0k citations

Hit Papers

Non-Linear Parametric Optimization 1982 2026 1996 2011 1982 100 200 300 400
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Non-Linear Parametric Optimization
    1982 493 citations B. Bank, J. Guddat et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Bernd Kummer Germany 15 837 733 297 166 142 37 1.2k
Hubertus Th. Jongen Germany 20 853 1.0× 730 1.0× 271 0.9× 135 0.8× 109 0.8× 70 1.2k
Diethard Klatte Switzerland 19 970 1.2× 895 1.2× 259 0.9× 194 1.2× 88 0.6× 44 1.2k
Joydeep Dutta India 19 846 1.0× 521 0.7× 303 1.0× 156 0.9× 117 0.8× 49 1.0k
Jean-Pierre Crouzeix France 20 1.1k 1.3× 777 1.1× 430 1.4× 127 0.8× 77 0.5× 56 1.5k
Gert Wanka Germany 15 831 1.0× 605 0.8× 167 0.6× 162 1.0× 94 0.7× 65 932
J. Guddat Germany 9 560 0.7× 476 0.6× 294 1.0× 80 0.5× 155 1.1× 26 880
Qiji Jim Zhu United States 18 914 1.1× 499 0.7× 193 0.6× 300 1.8× 175 1.2× 62 1.4k
Vicente Novo Spain 24 1.4k 1.6× 1.1k 1.5× 223 0.8× 314 1.9× 112 0.8× 81 1.4k
Abderrahim Jourani France 18 900 1.1× 521 0.7× 162 0.5× 312 1.9× 70 0.5× 60 965
Juan Enrique Martínez-Legaz Spain 19 929 1.1× 552 0.8× 111 0.4× 214 1.3× 111 0.8× 112 1.1k

Countries citing papers authored by Bernd Kummer

Since Specialization
Citations

This map shows the geographic impact of Bernd Kummer'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 Bernd Kummer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bernd Kummer more than expected).

Fields of papers citing papers by Bernd Kummer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bernd Kummer. 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 Bernd Kummer. The network helps show where Bernd Kummer may publish in the future.

Co-authorship network of co-authors of Bernd Kummer

This figure shows the co-authorship network connecting the top 25 collaborators of Bernd Kummer. A scholar is included among the top collaborators of Bernd Kummer 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 Bernd Kummer. Bernd Kummer 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.
Klatte, Diethard & Bernd Kummer. (2019). Correction to: Approximations and generalized Newton methods. Mathematical Programming. 179(1-2). 469–471. 2 indexed citations
2.
Klatte, Diethard & Bernd Kummer. (2014). On Calmness of the Argmin Mapping in Parametric Optimization Problems. Journal of Optimization Theory and Applications. 165(3). 708–719. 8 indexed citations
3.
Klatte, Diethard & Bernd Kummer. (2010). Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications. TU Digital Collections (Thammasat University). 113 indexed citations
4.
Kummer, Bernd. (2009). Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle. Journal of Mathematical Analysis and Applications. 358(2). 327–344. 21 indexed citations
5.
Klatte, Diethard & Bernd Kummer. (2007). Newton methods for stationary points: an elementary view of regularity conditions and solution schemes. Optimization. 56(4). 441–462. 2 indexed citations
6.
Klatte, Diethard & Bernd Kummer. (2007). Optimization methods and stability of inclusions in Banach spaces. Mathematical Programming. 117(1-2). 305–330. 34 indexed citations
7.
Klatte, Diethard & Bernd Kummer. (2006). Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications (Nonconvex Optimization and Its Applications). Zurich Open Repository and Archive (University of Zurich). 60. 60 indexed citations
8.
Klatte, Diethard & Bernd Kummer. (2006). Stability of inclusions: characterizations via suitable Lipschitz functions and algorithms. Optimization. 55(5-6). 627–660. 11 indexed citations
9.
Klatte, Diethard & Bernd Kummer. (2005). Strong Lipschitz Stability of Stationary Solutions for Nonlinear Programs and Variational Inequalities. SIAM Journal on Optimization. 16(1). 96–119. 15 indexed citations
10.
Großmann, Christian, Diethard Klatte, & Bernd Kummer. (2004). Convergence of primal-dual solutions for the nonconvex log-Barrier method without Licq. Kybernetika. 40(5). 571–584. 3 indexed citations
11.
Klatte, Diethard & Bernd Kummer. (2001). Contingent Derivatives of Implicit (Multi-) Functions and Stationary Points. Annals of Operations Research. 101(1-4). 313–331. 5 indexed citations
12.
Kummer, Bernd. (2000). Generalized Newton and NCP- methods: convergence, regularity, actions. 20(2). 209–209. 23 indexed citations
13.
Kummer, Bernd. (2000). Inverse functions of pseudo regular mappings and regularity conditions. Mathematical Programming. 88(2). 313–339. 11 indexed citations
14.
Kummer, Bernd. (1997). Parametrizations of Kojima’s system and relations to penalty and barrier functions. Mathematical Programming. 76(3). 579–592. 5 indexed citations
15.
Kummer, Bernd. (1995). On solvability and regularity of a parametrized version of optimality conditions. Mathematical Methods of Operations Research. 41(2). 215–230. 4 indexed citations
16.
Kummer, Bernd. (1991). An implicit-function theorem for C0, 1-equations and parametric C1, 1-optimization. Journal of Mathematical Analysis and Applications. 158(1). 35–46. 30 indexed citations
17.
Kummer, Bernd. (1991). Lipschitzian inverse functions, directional derivatives, and applications inC 1,1 optimization. Journal of Optimization Theory and Applications. 70(3). 561–582. 53 indexed citations
18.
Kummer, Bernd, et al.. (1987). Hybrid modeling of elastic-wave propagation in two-dimensional laterally inhomogeneous media. Geophysics. 52(6). 765–771. 29 indexed citations
19.
Kummer, Bernd, et al.. (1982). Non-Linear Parametric Optimization. 89 indexed citations
20.
Kummer, Bernd. (1977). Global stability of optimization problems. Mathematische Operationsforschung und Statistik Series Optimization. 8(3). 367–383. 12 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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