Froilán M. Dopico

1.9k total citations
94 papers, 1.2k citations indexed

About

Froilán M. Dopico is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Algebra and Number Theory. According to data from OpenAlex, Froilán M. Dopico has authored 94 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 92 papers in Computational Theory and Mathematics, 50 papers in Numerical Analysis and 33 papers in Algebra and Number Theory. Recurrent topics in Froilán M. Dopico's work include Matrix Theory and Algorithms (90 papers), Advanced Topics in Algebra (33 papers) and Numerical methods for differential equations (30 papers). Froilán M. Dopico is often cited by papers focused on Matrix Theory and Algorithms (90 papers), Advanced Topics in Algebra (33 papers) and Numerical methods for differential equations (30 papers). Froilán M. Dopico collaborates with scholars based in Spain, United States and Belgium. Froilán M. Dopico's co-authors include Fernando De Terán, D. Steven Mackey, Julio Moro, Juan M. Molera, Plamen Koev, Paul Van Dooren, M.I. Bueno, Charles R. Johnson, Andrii Dmytryshyn and Piers W. Lawrence and has published in prestigious journals such as Mathematics of Computation, Numerische Mathematik and Journal of Computational and Applied Mathematics.

In The Last Decade

Froilán M. Dopico

85 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Froilán M. Dopico Spain 22 1.1k 621 313 242 120 94 1.2k
Niloufer Mackey United States 18 879 0.8× 611 1.0× 210 0.7× 234 1.0× 77 0.6× 26 1.0k
Christian Mehl Germany 19 951 0.9× 616 1.0× 202 0.6× 262 1.1× 56 0.5× 58 1.1k
Dijana Mosić Serbia 18 1.3k 1.2× 385 0.6× 508 1.6× 237 1.0× 152 1.3× 204 1.4k
Dragana S. Cvetković‐Ilić Serbia 19 1.0k 1.0× 340 0.5× 397 1.3× 170 0.7× 164 1.4× 93 1.1k
Hongguo Xu United States 21 639 0.6× 471 0.8× 121 0.4× 159 0.7× 72 0.6× 55 981
Xi-Yan Hu China 18 844 0.8× 578 0.9× 77 0.2× 130 0.5× 65 0.5× 65 934
Néstor Thome Spain 19 940 0.9× 297 0.5× 331 1.1× 134 0.6× 212 1.8× 79 1.0k
Oskar Maria Baksalary Poland 18 900 0.8× 232 0.4× 372 1.2× 134 0.6× 308 2.6× 64 1.0k
Georg Heinig Kuwait 15 700 0.7× 165 0.3× 155 0.5× 141 0.6× 186 1.6× 52 986

Countries citing papers authored by Froilán M. Dopico

Since Specialization
Citations

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

Fields of papers citing papers by Froilán M. Dopico

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Froilán M. Dopico. 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 Froilán M. Dopico. The network helps show where Froilán M. Dopico may publish in the future.

Co-authorship network of co-authors of Froilán M. Dopico

This figure shows the co-authorship network connecting the top 25 collaborators of Froilán M. Dopico. A scholar is included among the top collaborators of Froilán M. Dopico 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 Froilán M. Dopico. Froilán M. Dopico 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.
Dopico, Froilán M., Vanni Noferini, & I. Zaballa. (2025). Rosenbrock's theorem on system matrices over elementary divisor domains. Linear Algebra and its Applications. 710. 10–49.
2.
Dopico, Froilán M., et al.. (2024). Para-Hermitian Rational Matrices. SIAM Journal on Matrix Analysis and Applications. 45(4). 2339–2359.
3.
Dopico, Froilán M., et al.. (2024). A Riemannian Optimization Method to Compute the Nearest Singular Pencil. SIAM Journal on Matrix Analysis and Applications. 45(4). 2007–2038.
4.
Dopico, Froilán M. & Vanni Noferini. (2023). The DL(P) vector space of pencils for singular matrix polynomials. Linear Algebra and its Applications. 677. 88–131. 1 indexed citations
5.
Dopico, Froilán M., et al.. (2021). On minimal bases and indices of rational matrices and their linearizations. Communities in ADDI (University of the Basque Country). 7 indexed citations
6.
Bueno, M.I., et al.. (2021). A comparison of eigenvalue condition numbers for matrix polynomials. e-Archivo (Carlos III University of Madrid). 1 indexed citations
7.
Terán, Fernando De, Andrii Dmytryshyn, & Froilán M. Dopico. (2020). Generic symmetric matrix pencils with bounded rank. e-Archivo (Carlos III University of Madrid). 3 indexed citations
8.
Terán, Fernando De, Andrii Dmytryshyn, & Froilán M. Dopico. (2020). Generic symmetric matrix polynomials with bounded rank and fixed odd grade. e-Archivo (Carlos III University of Madrid). 2 indexed citations
9.
Dopico, Froilán M. & Vanni Noferini. (2019). Root polynomials and their role in the theory of matrix polynomials. Linear Algebra and its Applications. 584. 37–78. 15 indexed citations
10.
Bueno, M.I., et al.. (2019). Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations. e-Archivo (Carlos III University of Madrid). 1 indexed citations
11.
Dopico, Froilán M., et al.. (2019). Strong linearizations of rational matrices with polynomial part expressed in an orthogonal basis. e-Archivo (Carlos III University of Madrid). 7 indexed citations
12.
Dopico, Froilán M., et al.. (2018). Block minimal bases ℓ-ifications of matrix polynomials. Linear Algebra and its Applications. 562. 163–204. 3 indexed citations
13.
Dmytryshyn, Andrii & Froilán M. Dopico. (2017). Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree. Linear Algebra and its Applications. 535. 213–230. 13 indexed citations
14.
Dmytryshyn, Andrii & Froilán M. Dopico. (2017). Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade. Linear Algebra and its Applications. 536. 1–18. 8 indexed citations
15.
Dopico, Froilán M. & Frank Uhlig. (2015). Computing matrix symmetrizers, part 2: New methods using eigendata and linear means; a comparison. Linear Algebra and its Applications. 504. 590–622. 4 indexed citations
16.
Bueno, M.I., et al.. (2015). Large vector spaces of block-symmetric strong linearizations of matrix polynomials. Linear Algebra and its Applications. 477. 165–210. 16 indexed citations
17.
Terán, Fernando De, et al.. (2013). The solution of the equationAX+X★B=0. Linear Algebra and its Applications. 438(7). 2817–2860. 22 indexed citations
18.
Dopico, Froilán M. & Charles R. Johnson. (2009). Parametrization of the Matrix Symplectic Group and Applications. SIAM Journal on Matrix Analysis and Applications. 31(2). 650–673. 12 indexed citations
19.
Bueno, M.I. & Froilán M. Dopico. (2006). A more accurate algorithm for computing the Christoffel transformation. Journal of Computational and Applied Mathematics. 205(1). 567–582. 6 indexed citations
20.
Dopico, Froilán M., Charles R. Johnson, & Juan M. Molera. (2006). Multiple LU factorizations of a singular matrix. Linear Algebra and its Applications. 419(1). 24–36. 5 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 Niloufer Mackey Breakdown of academic impact, for papers by Christian Mehl Breakdown of academic impact, for papers by Dijana Mosić Breakdown of academic impact, for papers by Dragana S. Cvetković‐Ilić Breakdown of academic impact, for papers by Hongguo Xu Breakdown of academic impact, for papers by Xi-Yan Hu Breakdown of academic impact, for papers by Néstor Thome Breakdown of academic impact, for papers by Oskar Maria Baksalary Breakdown of academic impact, for papers by Georg Heinig
Rankless by CCL
2026