Per‐Gunnar Martinsson

9.0k total citations · 1 hit paper
57 papers, 4.7k citations indexed

About

Per‐Gunnar Martinsson is a scholar working on Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering and Computational Mechanics. According to data from OpenAlex, Per‐Gunnar Martinsson has authored 57 papers receiving a total of 4.7k indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Atomic and Molecular Physics, and Optics, 28 papers in Electrical and Electronic Engineering and 26 papers in Computational Mechanics. Recurrent topics in Per‐Gunnar Martinsson's work include Electromagnetic Scattering and Analysis (36 papers), Electromagnetic Simulation and Numerical Methods (27 papers) and Sparse and Compressive Sensing Techniques (18 papers). Per‐Gunnar Martinsson is often cited by papers focused on Electromagnetic Scattering and Analysis (36 papers), Electromagnetic Simulation and Numerical Methods (27 papers) and Sparse and Compressive Sensing Techniques (18 papers). Per‐Gunnar Martinsson collaborates with scholars based in United States, United Kingdom and Spain. Per‐Gunnar Martinsson's co-authors include Joel A. Tropp, Nathan Halko, Vladimir Rokhlin, Mark Tygert, Adrianna Gillman, Edo Liberty, Hongwei Cheng, Zydrunas Gimbutas, Yoel Shkolnisky and Alex H. Barnett and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Computational Physics and SIAM Journal on Numerical Analysis.

In The Last Decade

Per‐Gunnar Martinsson

52 papers receiving 4.3k citations

Hit Papers

align trajectories sort by overperformance

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.

Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions

2011 2.2k citations Per‐Gunnar Martinsson, Joel A. Tropp et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Per‐Gunnar Martinsson United States	24	1.5k	1.4k	1.1k	1000	966	57	4.7k
Timothy A. Davis United States	28	2.0k 1.3×	838 0.6×	923 0.9×	2.7k 2.7×	1.6k 1.7×	108	8.5k
Lexing Ying United States	40	1.4k 0.9×	1.7k 1.2×	510 0.5×	599 0.6×	1.2k 1.2×	163	6.3k
Lothar Reichel United States	41	1.5k 1.0×	1.4k 1.0×	310 0.3×	3.0k 3.0×	554 0.6×	348	6.9k
Åke Björck Sweden	31	1.6k 1.1×	702 0.5×	770 0.7×	2.2k 2.2×	1.0k 1.1×	50	7.8k
Matteo Frigo United States	20	615 0.4×	704 0.5×	998 0.9×	846 0.8×	897 0.9×	43	7.4k
D. C. Sorensen United States	29	1.7k 1.1×	1.3k 1.0×	520 0.5×	2.3k 2.3×	838 0.9×	74	6.9k
Gregory Beylkin United States	32	1.1k 0.7×	1.5k 1.0×	242 0.2×	902 0.9×	776 0.8×	101	6.7k
Alan D. George United States	36	930 0.6×	618 0.4×	875 0.8×	2.6k 2.6×	2.2k 2.3×	343	7.5k
Jianfeng Lu United States	35	478 0.3×	1.1k 0.8×	454 0.4×	418 0.4×	720 0.7×	304	6.2k
Iain Duff United Kingdom	42	2.5k 1.6×	1.8k 1.3×	698 0.6×	5.1k 5.1×	2.0k 2.1×	141	10.1k

Countries citing papers authored by Per‐Gunnar Martinsson

Since Specialization

Citations

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

Fields of papers citing papers by Per‐Gunnar Martinsson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Per‐Gunnar Martinsson. 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‐Gunnar Martinsson. The network helps show where Per‐Gunnar Martinsson may publish in the future.

Co-authorship network of co-authors of Per‐Gunnar Martinsson

This figure shows the co-authorship network connecting the top 25 collaborators of Per‐Gunnar Martinsson. A scholar is included among the top collaborators of Per‐Gunnar Martinsson 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‐Gunnar Martinsson. Per‐Gunnar Martinsson 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

Chen, Chao, et al.. (2025). Robust Blockwise Random Pivoting: Fast and Accurate Adaptive Interpolative Decomposition. SIAM Journal on Matrix Analysis and Applications. 46(3). 1791–1815.

Liang, Tianyu, Chao Chen, Per‐Gunnar Martinsson, & George Biros. (2024). An O(N) distributed-memory parallel direct solver for planar integral equations. 440–452.

Levitt, James J. & Per‐Gunnar Martinsson. (2024). Linear-Complexity Black-Box Randomized Compression of Rank-Structured Matrices. SIAM Journal on Scientific Computing. 46(3). A1747–A1763. 3 indexed citations

Martinsson, Per‐Gunnar, et al.. (2024). SlabLU: a two-level sparse direct solver for elliptic PDEs. Advances in Computational Mathematics. 50(4). 2 indexed citations

Chen, Chao, et al.. (2024). A simplified fast multipole method based on strong recursive skeletonization. Journal of Computational Physics. 524. 113707–113707.

Martinsson, Per‐Gunnar, et al.. (2023). Computing rank‐revealing factorizations of matrices stored out‐of‐core. Concurrency and Computation Practice and Experience. 35(22).

Martinsson, Per‐Gunnar, et al.. (2023). A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces. SIAM Journal on Numerical Analysis. 61(5). 2182–2208. 2 indexed citations

Chen, Chao, et al.. (2023). Efficient algorithms for computing rank‐revealing factorizations on a GPU. Numerical Linear Algebra with Applications. 30(6). 1 indexed citations

Martinsson, Per‐Gunnar, et al.. (2023). Simpler is better: a comparative study of randomized pivoting algorithms for CUR and interpolative decompositions. Advances in Computational Mathematics. 49(4). 13 indexed citations

10.

Chen, Chao & Per‐Gunnar Martinsson. (2022). Solving Linear Systems on a GPU with Hierarchically Off-Diagonal Low-Rank Approximations. 1–15. 2 indexed citations

11.

Martinsson, Per‐Gunnar & Joel A. Tropp. (2020). Randomized numerical linear algebra: Foundations and algorithms. Acta Numerica. 29. 403–572. 141 indexed citations

12.

Haut, Terry, et al.. (2015). A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator. IMA Journal of Numerical Analysis. 36(2). 688–716. 16 indexed citations

13.

Martinsson, Per‐Gunnar, et al.. (2014). An O(N) direct solver for integral equations on the plane. Applied and Computational Harmonic Analysis. 38(2). 284–317. 60 indexed citations

14.

Gillman, Adrianna & Per‐Gunnar Martinsson. (2013). A fast solver for Poisson problems on infinite regular lattices. Journal of Computational and Applied Mathematics. 258. 42–56. 10 indexed citations

15.

Martinsson, Per‐Gunnar, Vladimir Rokhlin, & Mark Tygert. (2010). A randomized algorithm for the decomposition of matrices. Applied and Computational Harmonic Analysis. 30(1). 47–68. 193 indexed citations

16.

Martinsson, Per‐Gunnar & Gregory J. Rodin. (2009). Boundary algebraic equations for lattice problems. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 465(2108). 2489–2503. 12 indexed citations

17.

Martinsson, Per‐Gunnar & Ivo Babuška. (2007). HOMOGENIZATION OF MATERIALS WITH PERIODIC TRUSS OR FRAME MICRO-STRUCTURES. Mathematical Models and Methods in Applied Sciences. 17(5). 805–832. 16 indexed citations

18.

Martinsson, Per‐Gunnar & Vladimir Rokhlin. (2006). A fast direct solver for scattering problems involving elongated structures. Journal of Computational Physics. 221(1). 288–302. 50 indexed citations

19.

Martinsson, Per‐Gunnar, Vladimir Rokhlin, & Mark Tygert. (2005). A fast algorithm for the inversion of general Toeplitz matrices. Computers & Mathematics with Applications. 50(5-6). 741–752. 47 indexed citations

20.

Martinsson, Per‐Gunnar. (2003). Vibrations of Lattice Structures and Phononic Band Gaps. The Quarterly Journal of Mechanics and Applied Mathematics. 56(1). 45–64. 182 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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