Ivan Singer

5.2k total citations · 1 hit paper
135 papers, 3.3k citations indexed

About

Ivan Singer is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, Ivan Singer has authored 135 papers receiving a total of 3.3k indexed citations (citations by other indexed papers that have themselves been cited), including 80 papers in Computational Theory and Mathematics, 48 papers in Numerical Analysis and 43 papers in Mathematical Physics. Recurrent topics in Ivan Singer's work include Optimization and Variational Analysis (66 papers), Advanced Optimization Algorithms Research (41 papers) and Advanced Banach Space Theory (36 papers). Ivan Singer is often cited by papers focused on Optimization and Variational Analysis (66 papers), Advanced Optimization Algorithms Research (41 papers) and Advanced Banach Space Theory (36 papers). Ivan Singer collaborates with scholars based in Romania, United States and Spain. Ivan Singer's co-authors include Eli Turkel, Juan Enrique Martínez-Legaz, A. M. Rubinov, Wu Li, Frank Deutsch, Viorel Niţică, C. Nahak, Günther Nürnberger, Pier Luigi Papini and A. Pełczyński and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Lecture notes in mathematics.

In The Last Decade

Ivan Singer

127 papers receiving 2.6k citations

Hit Papers

align trajectories

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.

Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces

1970 551 citations Ivan Singer profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Ivan Singer Romania	25	1.6k	1.1k	922	861	721	135	3.3k
R. R. Phelps United States	27	1.7k 1.1×	1.8k 1.6×	1.3k 1.4×	487 0.6×	1.0k 1.4×	57	3.3k
E. W. Cheney United States	22	985 0.6×	478 0.4×	854 0.9×	1.0k 1.2×	248 0.3×	60	3.1k
Einar Hille United States	17	801 0.5×	1.2k 1.0×	1.6k 1.8×	497 0.6×	751 1.0×	55	3.6k
Karl Stromberg United States	15	683 0.4×	926 0.8×	1.0k 1.1×	257 0.3×	522 0.7×	29	2.7k
Chandler Davis Canada	22	1.1k 0.7×	435 0.4×	824 0.9×	348 0.4×	284 0.4×	78	2.4k
I. J. Schoenberg United States	30	584 0.4×	502 0.4×	1.4k 1.5×	1.3k 1.5×	460 0.6×	115	4.2k
D. S. Mitrinović Serbia	15	695 0.4×	365 0.3×	2.9k 3.1×	368 0.4×	1.2k 1.7×	38	4.2k
Peter Borwein Canada	28	810 0.5×	615 0.5×	1.6k 1.7×	496 0.6×	882 1.2×	179	3.7k
Leo F. Boron	11	1.2k 0.7×	1.2k 1.1×	2.5k 2.7×	775 0.9×	577 0.8×	20	3.8k
Yitzhak Katznelson United States	21	650 0.4×	1.5k 1.3×	1.1k 1.2×	160 0.2×	796 1.1×	63	3.1k

Countries citing papers authored by Ivan Singer

Since Specialization

Citations

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

Fields of papers citing papers by Ivan Singer

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ivan Singer

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Akian, Marianne, Stéphane Gaubert, Viorel Niţică, & Ivan Singer. (2011). Best approximation in max-plus semimodules. Linear Algebra and its Applications. 435(12). 3261–3296. 23 indexed citations

2.

Niţică, Viorel & Ivan Singer. (2008). Contributions to max–min convex geometry. II: Semispaces and convex sets. Linear Algebra and its Applications. 428(8-9). 2085–2115. 7 indexed citations

3.

Niţică, Viorel & Ivan Singer. (2007). Max-plus convex sets and max-plus semispaces. II. Optimization. 56(3). 293–303. 17 indexed citations

4.

Schropp, Johannes & Ivan Singer. (2000). A dynamical systems approach to constrained minimization. Numerical Functional Analysis and Optimization. 21(3-4). 537–551. 33 indexed citations

5.

Martínez-Legaz, Juan Enrique & Ivan Singer. (1995). Dualities Associated To Binary Operations On R. 2. 185–209. 9 indexed citations

6.

Martínez-Legaz, Juan Enrique & Ivan Singer. (1991). Compatible preorders and linear operators on Rn. Linear Algebra and its Applications. 153. 53–66. 4 indexed citations

7.

Martínez-Legaz, Juan Enrique & Ivan Singer. (1988). The structure of hemispaces in Rn. Linear Algebra and its Applications. 110. 117–179. 13 indexed citations

8.

Martínez-Legaz, Juan Enrique & Ivan Singer. (1987). Lexicographical separation in Rn. Linear Algebra and its Applications. 90. 147–163. 11 indexed citations

9.

Singer, Ivan. (1983). Abstract pontryagin maximum principles for linear systems. Linear and Multilinear Algebra. 13(3). 203–219. 2 indexed citations

10.

Nürnberger, Günther & Ivan Singer. (1982). Uniqueness and strong uniqueness of best approximations by spline subspaces and other subspaces. Journal of Mathematical Analysis and Applications. 90(1). 171–184. 11 indexed citations

11.

Singer, Ivan. (1981). Duality theorems for perturbed convex optimization. Journal of Mathematical Analysis and Applications. 81(2). 437–452. 10 indexed citations

12.

Singer, Ivan. (1980). Duality theorems for linear systems and convex systems. Journal of Mathematical Analysis and Applications. 76(2). 339–368. 6 indexed citations

13.

Papini, Pier Luigi & Ivan Singer. (1979). Best coapproximation in normed linear spaces. Monatshefte für Mathematik. 88(1). 27–44. 36 indexed citations

14.

Singer, Ivan. (1979). A Fenchel-Rockafellar type duality theorem for maximization. Bulletin of the Australian Mathematical Society. 20(2). 193–198. 40 indexed citations

15.

Singer, Ivan. (1974). The Theory of Best Approximation and Functional Analysis. Society for Industrial and Applied Mathematics eBooks. 130 indexed citations

16.

Singer, Ivan. (1973). On pseudo-complemented subspaces of Banach spaces. Journal of Functional Analysis. 13(3). 223–232. 2 indexed citations

17.

Singer, Ivan. (1973). On biorthogonal systems and total sequences of functionals. II. Mathematische Annalen. 201(1). 1–8. 13 indexed citations

18.

Deutsch, Frank, Peter D. Morris, & Ivan Singer. (1969). On a problem of T. J. Rivlin in approximation theory. Journal of Approximation Theory. 2(4). 342–354. 5 indexed citations

19.

Singer, Ivan. (1960). On best approximation of continuous functions. Mathematische Annalen. 140(2). 165–168. 14 indexed citations

20.

Singer, Ivan. (1960). On a theorem of V. Pták concerning best approximation of continuous functions in the metric $\int_a^b|x(t)|dt$. Czechoslovak Mathematical Journal. 10(3). 425–431. 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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