G. Alefeld

2.0k total citations
83 papers, 1.3k citations indexed

About

G. Alefeld is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Computational Mechanics. According to data from OpenAlex, G. Alefeld has authored 83 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 61 papers in Computational Theory and Mathematics, 34 papers in Numerical Analysis and 15 papers in Computational Mechanics. Recurrent topics in G. Alefeld's work include Numerical Methods and Algorithms (42 papers), Matrix Theory and Algorithms (32 papers) and Advanced Optimization Algorithms Research (17 papers). G. Alefeld is often cited by papers focused on Numerical Methods and Algorithms (42 papers), Matrix Theory and Algorithms (32 papers) and Advanced Optimization Algorithms Research (17 papers). G. Alefeld collaborates with scholars based in Germany, United States and China. G. Alefeld's co-authors include Günter Mayer, Florian A. Potra, Jürgen Herzberger, Norbert Schneider, Владик Крейнович, Xiaojun Chen, R. S. Varga, Rolf Dieter Grigorieff, Allison Gienger and Uwe Schäfer and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Computers & Structures.

In The Last Decade

G. Alefeld

79 papers receiving 1.2k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
G. Alefeld Germany	19	796	438	238	153	152	83	1.3k
Günter Mayer Germany	12	572 0.7×	254 0.6×	197 0.8×	101 0.7×	114 0.8×	36	880
Jǐŕı Rohn Czechia	21	1.5k 1.9×	698 1.6×	503 2.1×	204 1.3×	213 1.4×	69	1.9k
Ulrich Kulisch Germany	20	732 0.9×	160 0.4×	103 0.4×	213 1.4×	76 0.5×	55	956
Tibor Csendes Hungary	19	534 0.7×	295 0.7×	146 0.6×	96 0.6×	96 0.6×	83	1.3k
R. A. Cuninghame‐Green United Kingdom	20	791 1.0×	202 0.5×	312 1.3×	93 0.6×	44 0.3×	47	1.6k
Alexander Graham United Kingdom	7	253 0.3×	134 0.3×	295 1.2×	158 1.0×	54 0.4×	8	1.4k
Augusto Ferrante Italy	20	288 0.4×	296 0.7×	708 3.0×	133 0.9×	61 0.4×	125	1.4k
Joseph A. Ball United States	26	715 0.9×	398 0.9×	1.1k 4.8×	57 0.4×	108 0.7×	171	2.9k
R. Hettich Germany	11	702 0.9×	646 1.5×	361 1.5×	36 0.2×	60 0.4×	23	1.1k
A. A. Goldstein United States	14	954 1.2×	940 2.1×	237 1.0×	65 0.4×	47 0.3×	35	1.8k

Countries citing papers authored by G. Alefeld

Since Specialization

Citations

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

Fields of papers citing papers by G. Alefeld

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of G. Alefeld

This figure shows the co-authorship network connecting the top 25 collaborators of G. Alefeld. A scholar is included among the top collaborators of G. Alefeld 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 G. Alefeld. G. Alefeld is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Alefeld, G., et al.. (2004). On the existence theorems of Kantorovich, Miranda and Borsuk.. 17. 102–111. 10 indexed citations

Alefeld, G., Владик Крейнович, & Günter Mayer. (2003). On the solution sets of particular classes of linear interval systems. Journal of Computational and Applied Mathematics. 152(1-2). 1–15. 31 indexed citations

Alefeld, G., et al.. (2001). Topics in numerical analysis : with special emphasis on nonlinear problems. Springer eBooks. 15 indexed citations

Alefeld, G. & Günter Mayer. (2000). Interval analysis: theory and applications. Journal of Computational and Applied Mathematics. 121(1-2). 421–464. 365 indexed citations

Alefeld, G., et al.. (1998). The basic properties of interval arithmetic, its software realizations and some applications. Computers & Structures. 67(1-3). 3–8. 29 indexed citations

Alefeld, G., et al.. (1996). Scientific Computing and Validated Numerics: Proceedings of the International Symposium on Scientific Computing, Computer Arithmetic and Validated Numbers Scan-95 Held in Wuppertal, Germany, September 26-29, 1995. John Wiley & Sons, Inc. eBooks. 1 indexed citations

Alefeld, G., et al.. (1996). ICIAM/GAMM 95 : numerical analysis, scientific computing, computer science, Hamburg, July 3-7, 1995. Akademie Verlag eBooks. 1 indexed citations

Alefeld, G., et al.. (1993). On enclosing simple roots of nonlinear equations. Mathematics of Computation. 61(204). 733–744. 17 indexed citations

Alefeld, G., et al.. (1993). The Cholesky method for interval data. Linear Algebra and its Applications. 194. 161–182. 37 indexed citations

10.

Alefeld, G.. (1990). Interval arithmetic tools and the precise scalar product in numerical analysis. 6(3). 189–209. 1 indexed citations

11.

Alefeld, G., et al.. (1986). Iterative improvement of componentwise errorbounds for invariant subspaces belonging to a double or nearly double eigenvalue. Computing. 36(4). 321–334. 18 indexed citations

12.

Alefeld, G.. (1984). The centered form and the mean value form—a necessary condition that they yield the range. Computing. 33(2). 165–169. 4 indexed citations

13.

Alefeld, G. & Norbert Schneider. (1982). On square roots of M-matrices. Linear Algebra and its Applications. 42. 119–132. 61 indexed citations

14.

Alefeld, G.. (1981). On the Convergence of Halley's Method. American Mathematical Monthly. 88(7). 530–536. 54 indexed citations

15.

Alefeld, G. & Jürgen Herzberger. (1974). On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots. SIAM Journal on Numerical Analysis. 11(2). 237–243. 76 indexed citations

16.

Alefeld, G.. (1972). Über reguläre Zerlegungen bei nichtlinearen Abbildungen. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 52(4). 233–238. 10 indexed citations

17.

Alefeld, G.. (1972). On the existence of a unique solution for a class of nonlinear systems of equations its calculation by iteration methods. Applications of Mathematics. 17(4). 267–294. 4 indexed citations

18.

Alefeld, G. & Jürgen Herzberger. (1970). Über die Berechnung der inversen Matrix mit Hilfe der Intervallrechnung.. 12. 259–261. 3 indexed citations

19.

Alefeld, G. & Jürgen Herzberger. (1970). Über die Berechnung der inversen Matrix mit Hilfe der Intervallrechnung / A note on inverting matrices by means of interval arithmetics. it - Information Technology. 12(1-6). 259–261. 1 indexed citations

20.

Alefeld, G.. (1968). Intervallrechnung über den komplexen Zahlen und einige Anwendungen. 28 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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