Per Christian Hansen

26.7k total citations · 10 hit papers
168 papers, 19.4k citations indexed

About

Per Christian Hansen is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Computational Mechanics. According to data from OpenAlex, Per Christian Hansen has authored 168 papers receiving a total of 19.4k indexed citations (citations by other indexed papers that have themselves been cited), including 54 papers in Mathematical Physics, 37 papers in Computational Theory and Mathematics and 30 papers in Computational Mechanics. Recurrent topics in Per Christian Hansen's work include Numerical methods in inverse problems (53 papers), Matrix Theory and Algorithms (34 papers) and Medical Imaging Techniques and Applications (27 papers). Per Christian Hansen is often cited by papers focused on Numerical methods in inverse problems (53 papers), Matrix Theory and Algorithms (34 papers) and Medical Imaging Techniques and Applications (27 papers). Per Christian Hansen collaborates with scholars based in Denmark, United States and Sweden. Per Christian Hansen's co-authors include Dianne P. O’Leary, Gene H. Golub, James G. Nagy, Søren Holdt Jensen, Tony F. Chan, Jakob Sauer Jørgensen, Toke Koldborg Jensen, Ricardo D. Fierro, Tommy Elfving and Misha E. Kilmer and has published in prestigious journals such as Journal of the American Statistical Association, Physical Review B and Journal of Computational Physics.

In The Last Decade

Per Christian Hansen

162 papers receiving 18.2k citations

Hit Papers

Analysis of Discrete Ill-Posed Problems by Means of the L... 1987 2026 2000 2013 1992 1993 1998 1987 1994 500 1000 1.5k 2.0k 2.5k
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. Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
    1992 2.8k citations Per Christian Hansen profile →
  2. The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
    1993 2.3k citations Per Christian Hansen, Dianne P. O’Leary profile →
  3. Rank-Deficient and Discrete Ill-Posed Problems
    1998 2.2k citations Per Christian Hansen Society for Industrial and Applied Mathematics eBooks profile →
  4. Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion
    1987 1.6k citations Per Christian Hansen profile →
  5. REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems
    1994 1.3k citations Per Christian Hansen Numerical Algorithms profile →
  6. Tikhonov Regularization and Total Least Squares
    1999 692 citations Per Christian Hansen, Dianne P. O’Leary et al. profile →
  7. Regularization Tools version 4.0 for Matlab 7.3
    2007 586 citations Per Christian Hansen Numerical Algorithms profile →
  8. The truncatedSVD as a method for regularization
    1987 548 citations Per Christian Hansen profile →
  9. The L-curve and its use in the numerical treatment of inverse problems
    2000 537 citations Per Christian Hansen profile →
  10. Discrete Inverse Problems
    2010 506 citations Per Christian Hansen Society for Industrial and Applied Mathematics eBooks profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Per Christian Hansen Denmark 44 4.8k 3.7k 3.6k 2.6k 2.6k 168 19.4k
А. Н. Тихонов Russia 30 2.4k 0.5× 1.6k 0.4× 1.4k 0.4× 1.6k 0.6× 1.4k 0.5× 167 13.6k
Ronald R. Coifman United States 56 4.4k 0.9× 1.9k 0.5× 996 0.3× 4.8k 1.8× 879 0.3× 196 21.1k
Salvatore Torquato United States 92 1.4k 0.3× 3.3k 0.9× 5.2k 1.4× 838 0.3× 7.9k 3.0× 417 30.4k
Grace Wahba United States 46 1.6k 0.3× 3.0k 0.8× 968 0.3× 3.6k 1.4× 790 0.3× 148 21.9k
Ingrid Daubechies United States 32 1.4k 0.3× 4.0k 1.1× 2.2k 0.6× 21.8k 8.3× 2.2k 0.8× 83 40.2k
Tony F. Chan United States 77 2.0k 0.4× 11.2k 3.0× 3.0k 0.8× 18.9k 7.2× 1.6k 0.6× 403 39.5k
John B. Bell United States 54 1.2k 0.2× 8.4k 2.2× 1.3k 0.4× 1.3k 0.5× 1.2k 0.4× 255 16.4k
Gilbert Strang United States 43 861 0.2× 5.0k 1.3× 1.3k 0.3× 3.8k 1.4× 3.0k 1.2× 185 18.6k
James A. Sethian United States 55 634 0.1× 12.6k 3.4× 2.7k 0.7× 10.5k 4.0× 3.2k 1.2× 160 32.1k
Vladimir Rokhlin United States 50 961 0.2× 2.9k 0.8× 1.5k 0.4× 1.5k 0.6× 2.8k 1.1× 127 16.2k

Countries citing papers authored by Per Christian Hansen

Since Specialization
Citations

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

Fields of papers citing papers by Per Christian Hansen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Per Christian Hansen

This figure shows the co-authorship network connecting the top 25 collaborators of Per Christian Hansen. A scholar is included among the top collaborators of Per Christian 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 Per Christian Hansen. Per Christian Hansen 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.
Eriksson, L.-G., J. Eriksson, Per Christian Hansen, et al.. (2025). Fast-ion phase-space tomography with wave–particle interactions in the ion cyclotron frequency range as prior. Nuclear Fusion. 65(5). 56008–56008. 4 indexed citations
2.
Dong, Yiqiu, L.-G. Eriksson, J. Eriksson, et al.. (2025). Velocity-space tomography of MeV-range fast-ion distributions in JET using wave–particle interaction priors. Nuclear Fusion. 65(11). 112006–112006.
3.
Riis, Nicolai A. B., et al.. (2024). CUQIpy: II. Computational uncertainty quantification for PDE-based inverse problems in Python. Inverse Problems. 40(4). 45010–45010. 2 indexed citations
4.
Riis, Nicolai A. B., et al.. (2024). CUQIpy: I. Computational uncertainty quantification for inverse problems in Python. Inverse Problems. 40(4). 45009–45009. 3 indexed citations
5.
Moseev, D., F. Jaulmes, Yiqiu Dong, et al.. (2024). Orbit tomography in constants-of-motion phase-space. Nuclear Fusion. 64(7). 76018–76018. 10 indexed citations
6.
Riis, Nicolai A. B., et al.. (2024). Inferring Object Boundaries and Their Roughness with Uncertainty Quantification. Journal of Mathematical Imaging and Vision. 66(6). 977–992.
7.
Salewski, M., D. Moseev, M. Baquero-Ruiz, et al.. (2023). 4D and 5D phase-space tomography using slowing-down physics regularization. Nuclear Fusion. 63(7). 76016–76016. 17 indexed citations
8.
Riis, Nicolai A. B., Yiqiu Dong, & Per Christian Hansen. (2021). Computed tomography with view angle estimation using uncertainty quantification. Inverse Problems. 37(6). 65007–65007. 6 indexed citations
9.
Madsen, B., M. Salewski, W. W. Heidbrink, et al.. (2020). Tomography of the positive-pitch fast-ion velocity distribution in DIII-D plasmas with Alfvén eigenmodes and neoclassical tearing modes. Nuclear Fusion. 60(6). 66024–66024. 29 indexed citations
10.
Hansen, Per Christian & Jakob Sauer Jørgensen. (2017). AIR Tools II: algebraic iterative reconstruction methods, improved implementation. Numerical Algorithms. 79(1). 107–137. 132 indexed citations
11.
Paoletti, Valeria, et al.. (2014). A computationally efficient tool for assessing the depth resolution in large-scale potential-field inversion. Geophysics. 79(4). A33–A38. 25 indexed citations
12.
Elfving, Tommy, Touraj Nikazad, & Per Christian Hansen. (2010). Semi-convergence and relaxation parameters for a class of SIRT algorithms. ETNA - Electronic Transactions on Numerical Analysis. 37. 321–336. 46 indexed citations
13.
Fedi, Maurizio, Per Christian Hansen, & Valeria Paoletti. (2007). Ambiguity and Depth Resolution in Potential Field Inversion. 2. 2 indexed citations
14.
Hansen, Per Christian. (2007). Deblurring Images: Matrices, Spectra and Filtering. Journal of Electronic Imaging. 17(1). 19901–19901. 352 indexed citations
15.
Hansen, Per Christian, James G. Nagy, & Dianne P. O’Leary. (2006). Deblurring Images: Matrices, Spectra, and Filtering (Fundamentals of Algorithms 3) (Fundamentals of Algorithms). Society for Industrial and Applied Mathematics eBooks. 85 indexed citations
16.
Fedi, Maurizio, Per Christian Hansen, & Valeria Paoletti. (2005). Analysis of depth resolution in potential-field inversion. Geophysics. 70(6). A1–A11. 66 indexed citations
17.
Calvetti, Daniela, Per Christian Hansen, & Lothar Reichel. (2001). L-Curve Curvature Bounds via Lanczos Bidiagonalization. ETNA - Electronic Transactions on Numerical Analysis. 14. 134–149. 36 indexed citations
18.
Hansen, Per Christian, et al.. (1997). Ulv-Based Signal Subspace Methods For Speech Enhancement. 2 indexed citations
19.
Hansen, Per Christian, et al.. (1990). Regularization and the general Gauss-Markov linear model. Mathematics of Computation. 55(192). 613–624. 12 indexed citations
20.
Hansen, Per Christian. (1990). Relations between SVD and GSVD of Discrete regularization problems in standard and general form. Linear Algebra and its Applications. 141. 165–176. 14 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by А. Н. Тихонов Breakdown of academic impact, for papers by Ronald R. Coifman Breakdown of academic impact, for papers by Salvatore Torquato Breakdown of academic impact, for papers by Grace Wahba Breakdown of academic impact, for papers by Ingrid Daubechies Breakdown of academic impact, for papers by Tony F. Chan Breakdown of academic impact, for papers by John B. Bell Breakdown of academic impact, for papers by Gilbert Strang Breakdown of academic impact, for papers by James A. Sethian Breakdown of academic impact, for papers by Vladimir Rokhlin
Rankless by CCL
2026