Eldon Hansen

3.8k total citations · 2 hit papers
56 papers, 2.6k citations indexed

About

Eldon Hansen is a scholar working on Computational Theory and Mathematics, Statistical and Nonlinear Physics and Signal Processing. According to data from OpenAlex, Eldon Hansen has authored 56 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Computational Theory and Mathematics, 8 papers in Statistical and Nonlinear Physics and 7 papers in Signal Processing. Recurrent topics in Eldon Hansen's work include Numerical Methods and Algorithms (19 papers), Matrix Theory and Algorithms (8 papers) and Digital Filter Design and Implementation (7 papers). Eldon Hansen is often cited by papers focused on Numerical Methods and Algorithms (19 papers), Matrix Theory and Algorithms (8 papers) and Digital Filter Design and Implementation (7 papers). Eldon Hansen collaborates with scholars based in United States and Canada. Eldon Hansen's co-authors include Arnold Neumaier, Merrell L. Patrick, Roberta H. Smith, G. William Walster, John E. Donelson, B. John Oommen, James D. Doyle, John Rasmussen, Dennis Gilliland and J. Richard Huynen and has published in prestigious journals such as Journal of Applied Physics, Technometrics and Mathematics of Computation.

In The Last Decade

Eldon Hansen

51 papers receiving 2.3k 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.

Global Optimization Using Interval Analysis.

1994 668 citations Eldon Hansen et al. Mathematics of Computation profile →
A Table of Series and Products

1975 463 citations Eldon Hansen CERN Document Server (European Organization for Nuclear Research) profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Eldon Hansen United States	19	1.3k	596	416	350	327	56	2.6k
W. Kahan United States	22	1.7k 1.3×	601 1.0×	291 0.7×	86 0.2×	377 1.2×	55	3.6k
James R. Bunch United States	20	1.8k 1.4×	919 1.5×	401 1.0×	94 0.3×	283 0.9×	40	4.0k
A. S. Householder United States	21	1.5k 1.2×	993 1.7×	320 0.8×	92 0.3×	312 1.0×	63	3.9k
George P. H. Styan Canada	26	1.4k 1.1×	493 0.8×	215 0.5×	98 0.3×	211 0.6×	96	2.7k
Marc Van Barel Belgium	23	1.3k 1.0×	623 1.0×	291 0.7×	111 0.3×	327 1.0×	220	2.3k
Moody T. Chu United States	27	1.4k 1.1×	840 1.4×	160 0.4×	144 0.4×	356 1.1×	97	2.6k
Dante C. Youla United States	26	811 0.6×	494 0.8×	2.2k 5.3×	158 0.5×	447 1.4×	66	5.1k
William B. Gragg United States	23	1.4k 1.1×	957 1.6×	188 0.5×	66 0.2×	340 1.0×	47	2.4k
T. N. E. Greville United States	17	2.4k 1.9×	1.1k 1.9×	925 2.2×	97 0.3×	430 1.3×	36	5.0k
R. J. Duffin United States	29	1.4k 1.1×	762 1.3×	537 1.3×	94 0.3×	249 0.8×	123	4.7k

Countries citing papers authored by Eldon Hansen

Since Specialization

Citations

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

Fields of papers citing papers by Eldon Hansen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Eldon Hansen

This figure shows the co-authorship network connecting the top 25 collaborators of Eldon Hansen. A scholar is included among the top collaborators of Eldon Hansen 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 Eldon Hansen. Eldon Hansen 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.

Hansen, Eldon. (2005). Sharpening Interval Computations. Reliable Computing. 12(1). 21–34. 3 indexed citations

2.

Hansen, Eldon. (1997). Sharpness in Interval Computations. Reliable Computing. 3(1). 17–29. 38 indexed citations

3.

Hansen, Eldon, et al.. (1990). Polynomial evaluation with scaling. ACM Transactions on Mathematical Software. 16(1). 86–93.

4.

Hansen, Eldon. (1984). Global optimization with data perturbations. Computers & Operations Research. 11(2). 97–104. 9 indexed citations

5.

Oommen, B. John & Eldon Hansen. (1984). The asymptotic optimality of discretized linear reward-inaction learning automata. IEEE Transactions on Systems Man and Cybernetics. SMC-14(3). 542–545. 42 indexed citations

6.

Hansen, Eldon. (1981). Sums of Functions Satisfying Recursion Relations. American Mathematical Monthly. 88(9). 676–679. 4 indexed citations

7.

Hansen, Eldon, et al.. (1981). Bounding solutions of systems of equations using interval analysis. BIT Numerical Mathematics. 21(2). 203–211. 96 indexed citations

8.

Hansen, Eldon. (1981). Methods and Applications of Interval Analysis (Ramon E. Moore). SIAM Review. 23(1). 121–123. 1 indexed citations

9.

Hansen, Eldon. (1978). A globally convergent interval method for computing and bounding real roots. BIT Numerical Mathematics. 18(4). 415–424. 47 indexed citations

10.

Hansen, Eldon & Merrell L. Patrick. (1976). Estimating the multiplicity of a root. Numerische Mathematik. 27(1). 121–131. 6 indexed citations

11.

Hansen, Eldon, et al.. (1975). Detection Probabilities for Fluctuating Infrared Targets. Applied Optics. 14(1). 61–61. 1 indexed citations

12.

Hansen, Eldon. (1975). A Table of Series and Products. CERN Document Server (European Organization for Nuclear Research). 463 indexed citations breakdown →

13.

Hansen, Eldon, et al.. (1972). Some Matched Filter Configurations for Infrared Systems. IEEE Transactions on Aerospace and Electronic Systems. AES-8(4). 428–438. 8 indexed citations

14.

Donelson, John E. & Eldon Hansen. (1971). Cyclic Composite Multistep Predictor-Corrector Methods. SIAM Journal on Numerical Analysis. 8(1). 137–157. 57 indexed citations

15.

Hansen, Eldon. (1969). On the solution of linear algebraic equations with interval coefficients. Linear Algebra and its Applications. 2(2). 153–165. 47 indexed citations

16.

Hansen, Eldon. (1968). On solving systems of equations using interval arithmetic. Mathematics of Computation. 22(102). 374–384. 66 indexed citations

17.

Hansen, Eldon. (1968). On Solving Systems of Equations Using Interval Arithmetic. Mathematics of Computation. 22(102). 374–374. 3 indexed citations

18.

Hansen, Eldon & Roberta H. Smith. (1967). Interval Arithmetic in Matrix Computations, Part II. SIAM Journal on Numerical Analysis. 4(1). 1–9. 174 indexed citations

19.

Hansen, Eldon. (1966). On Some Sums and Integrals Involving Bessel Functions. American Mathematical Monthly. 73(2). 143–143. 5 indexed citations

20.

Hansen, Eldon. (1960). On jacobi methods and block-jacobi methods for computing matrix eigenvalues. 11 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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