Helmut Gfrerer

1.3k total citations
38 papers, 754 citations indexed

About

Helmut Gfrerer is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Control and Systems Engineering. According to data from OpenAlex, Helmut Gfrerer has authored 38 papers receiving a total of 754 indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Computational Theory and Mathematics, 26 papers in Numerical Analysis and 10 papers in Control and Systems Engineering. Recurrent topics in Helmut Gfrerer's work include Optimization and Variational Analysis (28 papers), Advanced Optimization Algorithms Research (25 papers) and Fixed Point Theorems Analysis (7 papers). Helmut Gfrerer is often cited by papers focused on Optimization and Variational Analysis (28 papers), Advanced Optimization Algorithms Research (25 papers) and Fixed Point Theorems Analysis (7 papers). Helmut Gfrerer collaborates with scholars based in Austria, Czechia and Australia. Helmut Gfrerer's co-authors include Jiří V. Outrata, Heinz W. Engl, Diethard Klatte, Günther Zäpfel, Jane J. Ye, J. Guddat, Jan Outrata, Jan Valdman, Wilfried Bauer and Jinchuan Zhou and has published in prestigious journals such as European Journal of Operational Research, Mathematics of Computation and Journal of Mathematical Analysis and Applications.

In The Last Decade

Helmut Gfrerer

36 papers receiving 672 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Helmut Gfrerer Austria 16 473 390 200 140 140 38 754
Rafael Corrêa Chile 13 637 1.3× 441 1.1× 146 0.7× 165 1.2× 160 1.1× 51 855
V. М. Tikhomirov Russia 13 402 0.8× 336 0.9× 246 1.2× 89 0.6× 374 2.7× 53 1.1k
R. A. Poliquin Canada 11 762 1.6× 476 1.2× 169 0.8× 131 0.9× 203 1.4× 21 890
Juan Enrique Martínez-Legaz Spain 19 929 2.0× 552 1.4× 146 0.7× 100 0.7× 371 2.6× 112 1.1k
Nguyen Mau Nam United States 18 682 1.4× 513 1.3× 95 0.5× 118 0.8× 108 0.8× 54 820
T. Zolezzi Italy 16 883 1.9× 358 0.9× 160 0.8× 101 0.7× 352 2.5× 63 1.4k
Alberto Seeger France 20 993 2.1× 732 1.9× 105 0.5× 158 1.1× 362 2.6× 115 1.3k
Kazimierz Malanowski Poland 16 525 1.1× 303 0.8× 73 0.4× 239 1.7× 108 0.8× 41 831
Regina S. Burachik Australia 21 1.2k 2.5× 954 2.4× 209 1.0× 291 2.1× 169 1.2× 67 1.4k
Nikolai P. Osmolovskii Poland 15 528 1.1× 227 0.6× 86 0.4× 75 0.5× 171 1.2× 45 898

Countries citing papers authored by Helmut Gfrerer

Since Specialization
Citations

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

Fields of papers citing papers by Helmut Gfrerer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Helmut Gfrerer

This figure shows the co-authorship network connecting the top 25 collaborators of Helmut Gfrerer. A scholar is included among the top collaborators of Helmut Gfrerer 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 Helmut Gfrerer. Helmut Gfrerer 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.
Gfrerer, Helmut. (2025). On a globally convergent semismooth* Newton method in nonsmooth nonconvex optimization. Computational Optimization and Applications. 91(1). 67–124. 2 indexed citations
2.
Gfrerer, Helmut. (2025). On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions. Set-Valued and Variational Analysis. 33(1).
3.
Gfrerer, Helmut & Alexander Y. Kruger. (2023). The Radius of Metric Regularity Revisited. Set-Valued and Variational Analysis. 31(3).
4.
Gfrerer, Helmut & Alexander Y. Kruger. (2023). Radius theorems for subregularity in infinite dimensions. Computational Optimization and Applications. 86(3). 1117–1158. 1 indexed citations
5.
Gfrerer, Helmut, et al.. (2022). On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. Computational Optimization and Applications. 86(3). 1159–1191. 5 indexed citations
6.
Gfrerer, Helmut, Jane J. Ye, & Jinchuan Zhou. (2022). Second-Order Optimality Conditions for Nonconvex Set-Constrained Optimization Problems. Mathematics of Operations Research. 47(3). 2344–2365. 6 indexed citations
7.
Gfrerer, Helmut, Jiří V. Outrata, & Jan Valdman. (2022). On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind. Set-Valued and Variational Analysis. 30(4). 1453–1484. 6 indexed citations
8.
Gfrerer, Helmut & Jiří V. Outrata. (2021). On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives. Journal of Mathematical Analysis and Applications. 508(2). 125895–125895. 10 indexed citations
9.
Gfrerer, Helmut, et al.. (2019). Set-Valued and Variational Analysis / Calculus for Directional Limiting Normal Cones and Subdifferentials. University Library Linz repository (Johannes Kepler Universitat Linz). 15 indexed citations
10.
Gfrerer, Helmut, et al.. (2019). Stability Analysis for Parameterized Variational Systems with Implicit Constraints. Set-Valued and Variational Analysis. 28(1). 167–193. 6 indexed citations
11.
Gfrerer, Helmut. (2018). Linearized M-stationarity Conditions for General Optimization Problems. Set-Valued and Variational Analysis. 27(3). 819–840. 3 indexed citations
12.
Gfrerer, Helmut, et al.. (2017). An SQP method for mathematical programs with vanishing constraints with strong convergence properties. Computational Optimization and Applications. 67(2). 361–399. 8 indexed citations
13.
Gfrerer, Helmut, et al.. (2017). New verifiable stationarity concepts for a class of mathematical programs with disjunctive constraints. Optimization. 67(1). 1–23. 15 indexed citations
14.
Gfrerer, Helmut & Jane J. Ye. (2017). New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis. SIAM Journal on Optimization. 27(2). 842–865. 28 indexed citations
15.
Gfrerer, Helmut & Diethard Klatte. (2015). Lipschitz and Hölder stability of optimization problems and generalized equations. Mathematical Programming. 158(1-2). 35–75. 35 indexed citations
16.
Gfrerer, Helmut. (2013). On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs. SIAM Journal on Optimization. 23(1). 632–665. 40 indexed citations
17.
Gfrerer, Helmut & Günther Zäpfel. (1995). Hierarchical model for production planning in the case of uncertain demand. European Journal of Operational Research. 86(1). 142–161. 34 indexed citations
18.
Gfrerer, Helmut, et al.. (1994). Algorithms and applications of nonlinear parameter estimation of orthogonal regression models. Advances in Engineering Software. 21(2). 75–85. 1 indexed citations
19.
Gfrerer, Helmut. (1987). An a posteriori parameter choice for ordinary and iterated Tikhonov regularization of ill-posed problems leading to optimal convergence rates. Mathematics of Computation. 49(180). 507–522. 120 indexed citations
20.
Gfrerer, Helmut. (1982). Uniform convergence of interpolation by cubic splines. Computing. 29(4). 361–364. 2 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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