Mark Embree

3.0k total citations · 1 hit paper
38 papers, 1.6k citations indexed

About

Mark Embree is a scholar working on Computational Theory and Mathematics, Atomic and Molecular Physics, and Optics and Statistical and Nonlinear Physics. According to data from OpenAlex, Mark Embree has authored 38 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Computational Theory and Mathematics, 14 papers in Atomic and Molecular Physics, and Optics and 11 papers in Statistical and Nonlinear Physics. Recurrent topics in Mark Embree's work include Matrix Theory and Algorithms (24 papers), Electromagnetic Scattering and Analysis (12 papers) and Model Reduction and Neural Networks (7 papers). Mark Embree is often cited by papers focused on Matrix Theory and Algorithms (24 papers), Electromagnetic Scattering and Analysis (12 papers) and Model Reduction and Neural Networks (7 papers). Mark Embree collaborates with scholars based in United States, United Kingdom and Germany. Mark Embree's co-authors include Lloyd N. Trefethen, D. C. Sorensen, Tim Warburton, Christopher Beattie, Maciej Zworski, Simon Becker, John Rossi, David Damanik, Albrecht Böttcher and Ronald B. Morgan and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Mathematics of Computation and Communications in Mathematical Physics.

In The Last Decade

Mark Embree

37 papers receiving 1.4k citations

Hit Papers

Spectra and Pseudospectra 2005 2026 2012 2019 2005 250 500 750
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. Spectra and Pseudospectra
    2005 945 citations Lloyd N. Trefethen, Mark Embree Princeton University Press 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
Mark Embree United States 15 577 396 364 354 278 38 1.6k
Olof Runborg Sweden 16 362 0.6× 586 1.5× 343 0.9× 256 0.7× 163 0.6× 51 1.5k
Folkmar Bornemann Germany 23 367 0.6× 620 1.6× 196 0.5× 311 0.9× 293 1.1× 60 1.7k
Grigorios A. Pavliotis United Kingdom 25 390 0.7× 498 1.3× 871 2.4× 186 0.5× 78 0.3× 99 2.4k
Ole H. Hald United States 22 492 0.9× 611 1.5× 427 1.2× 182 0.5× 137 0.5× 45 1.9k
J. A. C. Weideman South Africa 22 400 0.7× 616 1.6× 570 1.6× 481 1.4× 869 3.1× 49 2.7k
Andrew Knyazev United States 19 809 1.4× 514 1.3× 107 0.3× 478 1.4× 260 0.9× 74 1.6k
Jean‐David Benamou France 22 377 0.7× 600 1.5× 268 0.7× 241 0.7× 162 0.6× 50 2.4k
Arnd Scheel United States 27 323 0.6× 184 0.5× 911 2.5× 111 0.3× 218 0.8× 114 2.2k
Arno B. J. Kuijlaars Belgium 29 648 1.1× 247 0.6× 492 1.4× 452 1.3× 491 1.8× 102 2.9k
Alex Townsend United States 18 270 0.5× 238 0.6× 189 0.5× 152 0.4× 243 0.9× 50 1.0k

Countries citing papers authored by Mark Embree

Since Specialization
Citations

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

Fields of papers citing papers by Mark Embree

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mark Embree

This figure shows the co-authorship network connecting the top 25 collaborators of Mark Embree. A scholar is included among the top collaborators of Mark Embree 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 Mark Embree. Mark Embree 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.
Damm, Tobias, et al.. (2024). On the balanced truncation error bound and sign parameters from arrowhead realizations. Advances in Computational Mathematics. 50(1). 1 indexed citations
2.
Morgan, Ronald B., et al.. (2022). Polynomial Preconditioning with the GMRES Polynomial.. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information).
3.
Becker, Simon, et al.. (2022). Mathematics of magic angles in a model of twisted bilayer graphene. arXiv (Cornell University). 3(1). 69–103. 26 indexed citations
4.
Beattie, Christopher, Peter Benner, Mark Embree, Serkan Gugercin, & Sanda Lefteriu. (2022). Realization and Model Reduction of Dynamical Systems. 9 indexed citations
5.
Becker, Simon, et al.. (2021). Spectral characterization of magic angles in twisted bilayer graphene. Physical review. B.. 103(16). 30 indexed citations
6.
Trefethen, Lloyd N. & Mark Embree. (2020). Spectra and Pseudospectra. Princeton University Press eBooks. 30 indexed citations
7.
Embree, Mark, et al.. (2017). Weighted Inner Products for GMRES and GMRES-DR. SIAM Journal on Scientific Computing. 39(5). S610–S632. 6 indexed citations
8.
Sorensen, D. C. & Mark Embree. (2016). A DEIM Induced CUR Factorization. SIAM Journal on Scientific Computing. 38(3). A1454–A1482. 69 indexed citations
9.
Embree, Mark, et al.. (2013). GMRES Convergence for Perturbed Coefficient Matrices, with Application to Approximate Deflation Preconditioning. SIAM Journal on Matrix Analysis and Applications. 34(3). 1066–1088. 12 indexed citations
10.
Benner, Peter, Mark Embree, Richard B. Lehoucq, & C. T. Kelley. (2012). A mathematical biography of Danny C. Sorensen. Linear Algebra and its Applications. 436(8). 2717–2724. 1 indexed citations
11.
Embree, Mark, et al.. (2012). Ritz Value Localization for Non-Hermitian Matrices. SIAM Journal on Matrix Analysis and Applications. 33(4). 1320–1338. 6 indexed citations
12.
Embree, Mark, et al.. (2011). Reconstructing an even damping from a single spectrum. Inverse Problems. 27(3). 35012–35012. 1 indexed citations
13.
Embree, Mark. (2009). The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail. SIAM Journal on Matrix Analysis and Applications. 31(1). 1–10. 11 indexed citations
14.
Trefethen, Lloyd N. & Mark Embree. (2005). Spectra and Pseudospectra. Princeton University Press eBooks. 945 indexed citations breakdown →
15.
Böttcher, Albrecht, Mark Embree, & V. I. Sokolov. (2003). On large Toeplitz band matrices with an uncertain block. Linear Algebra and its Applications. 366. 87–97. 5 indexed citations
16.
Embree, Mark. (2003). The Tortoise and the Hare Restart GMRES. SIAM Review. 45(2). 259–266. 42 indexed citations
17.
Böttcher, Albrecht, Mark Embree, & V. I. Sokolov. (2002). Infinite Toeplitz and Laurent matrices with localized impurities. Linear Algebra and its Applications. 343-344. 101–118. 10 indexed citations
18.
Böttcher, Albrecht, Mark Embree, & Lloyd N. Trefethen. (2002). Piecewise Continuous Toeplitz Matrices and Operators: Slow Approach to Infinity. SIAM Journal on Matrix Analysis and Applications. 24(2). 484–489. 5 indexed citations
19.
Embree, Mark & Lloyd N. Trefethen. (2001). Generalizing Eigenvalue Theorems to Pseudospectra Theorems. SIAM Journal on Scientific Computing. 23(2). 583–590. 26 indexed citations
20.
Embree, Mark & Lloyd N. Trefethen. (1999). Green's Functions for Multiply Connected Domains via Conformal Mapping. SIAM Review. 41(4). 745–761. 36 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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