Carlo Garoni

1.4k total citations · 1 hit paper
52 papers, 841 citations indexed

About

Carlo Garoni is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Computational Mechanics. According to data from OpenAlex, Carlo Garoni has authored 52 papers receiving a total of 841 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Computational Theory and Mathematics, 23 papers in Applied Mathematics and 22 papers in Computational Mechanics. Recurrent topics in Carlo Garoni's work include Matrix Theory and Algorithms (28 papers), Advanced Numerical Analysis Techniques (20 papers) and Holomorphic and Operator Theory (14 papers). Carlo Garoni is often cited by papers focused on Matrix Theory and Algorithms (28 papers), Advanced Numerical Analysis Techniques (20 papers) and Holomorphic and Operator Theory (14 papers). Carlo Garoni collaborates with scholars based in Italy, Sweden and Switzerland. Carlo Garoni's co-authors include Stefano Serra‐Capizzano, Hendrik Speleers, Carla Manni, Marco Donatelli, Mariarosa Mazza, Francesca Pelosi, Antonio Cicone, Alessandro Reali, Thomas J.R. Hughes and Davide Bianchi and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Mathematics of Computation and SIAM Journal on Numerical Analysis.

In The Last Decade

Carlo Garoni

46 papers receiving 771 citations

Hit Papers

Generalized Locally Toeplitz Sequences: Theory and Applic... 2017 2026 2020 2023 2017 25 50 75
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. Generalized Locally Toeplitz Sequences: Theory and Applications
    2017 77 citations Carlo Garoni, Stefano Serra‐Capizzano profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Carlo Garoni Italy 17 541 350 266 248 123 52 841
Yongzhong Song China 18 423 0.8× 168 0.5× 52 0.2× 621 2.5× 46 0.4× 85 907
C. Palencia Spain 20 255 0.5× 299 0.9× 135 0.5× 522 2.1× 86 0.7× 37 867
Patrick J. Rabier United States 21 786 1.5× 169 0.5× 405 1.5× 534 2.2× 218 1.8× 98 1.5k
Michal Křı́žek Czechia 19 441 0.8× 752 2.1× 56 0.2× 231 0.9× 431 3.5× 119 1.3k
Günter Meinardus Germany 13 321 0.6× 238 0.7× 309 1.2× 373 1.5× 36 0.3× 41 977
Mariarosa Mazza Italy 11 218 0.4× 76 0.2× 100 0.4× 208 0.8× 114 0.9× 35 465
P. M. Anselone United States 16 348 0.6× 225 0.6× 288 1.1× 280 1.1× 166 1.3× 40 955
Borislav Bojanov Bulgaria 14 128 0.2× 180 0.5× 345 1.3× 222 0.9× 39 0.3× 57 574
Roswitha März Germany 20 762 1.4× 244 0.7× 85 0.3× 1.1k 4.6× 22 0.2× 78 1.5k
F. Toutounian Iran 13 336 0.6× 85 0.2× 82 0.3× 373 1.5× 52 0.4× 61 607

Countries citing papers authored by Carlo Garoni

Since Specialization
Citations

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

Fields of papers citing papers by Carlo Garoni

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Carlo Garoni

This figure shows the co-authorship network connecting the top 25 collaborators of Carlo Garoni. A scholar is included among the top collaborators of Carlo Garoni 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 Carlo Garoni. Carlo Garoni 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.
2.
Garoni, Carlo, et al.. (2025). From asymptotic distribution and vague convergence to uniform convergence, with numerical applications. Journal of Numerical Mathematics. 34(1). 21–60. 1 indexed citations
3.
Garoni, Carlo, et al.. (2025). Spectral properties of flipped Toeplitz matrices and computational applications. Applied Mathematics and Computation. 499. 129408–129408.
4.
Garoni, Carlo, Carla Manni, Francesca Pelosi, & Hendrik Speleers. (2025). Study and Use of Spectral Symbol Properties for Isogeometric Matrices on Trimmed Geometries. Numerical Linear Algebra with Applications. 32(1).
5.
Bianchi, Davide & Carlo Garoni. (2024). On the asymptotic spectral distribution of increasing size matrices: test functions, spectral clustering, and asymptotic estimates of outliers. Linear Algebra and its Applications. 697. 615–638. 3 indexed citations
6.
Garoni, Carlo, Carla Manni, Francesca Pelosi, & Hendrik Speleers. (2022). Spectral analysis of matrices resulting from isogeometric immersed methods and trimmed geometries. Computer Methods in Applied Mechanics and Engineering. 400. 115551–115551. 4 indexed citations
7.
Garoni, Carlo, et al.. (2022). Rectangular GLT Sequences. Oesterreichisches Musiklexikon online (Institut für kunst- und musikhistorische Forschungen der Österreichischen Akademie der Wissenschaften). 6 indexed citations
8.
Garoni, Carlo, et al.. (2022). An extension of the theory of GLT sequences: sampling on asymptotically uniform grids. Linear and Multilinear Algebra. 71(12). 2008–2025. 2 indexed citations
9.
Bianchi, Davide, et al.. (2021). Constructive approach to the monotone rearrangement of functions. Expositiones Mathematicae. 40(1). 155–175. 8 indexed citations
10.
Garoni, Carlo, et al.. (2021). Eigenvalues and eigenvectors of tau matrices with applications to Markov processes and economics. arXiv (Cornell University). 2 indexed citations
11.
Garoni, Carlo, Carla Manni, Stefano Serra‐Capizzano, & Hendrik Speleers. (2020). NURBS in isogeometric discretization methods: A spectral analysis. Numerical Linear Algebra with Applications. 27(6). 5 indexed citations
12.
Garoni, Carlo, et al.. (2019). Symbol-Based Analysis of Finite Element and Isogeometric B-Spline Discretizations of Eigenvalue Problems: Exposition and Review. Archives of Computational Methods in Engineering. 26(5). 1639–1690. 36 indexed citations
13.
14.
Garoni, Carlo, et al.. (2018). Are the eigenvalues of the B‐spline isogeometric analysis approximation of −Δu = λu known in almost closed form?. Numerical Linear Algebra with Applications. 25(5). 17 indexed citations
15.
16.
Garoni, Carlo, Mariarosa Mazza, & Stefano Serra‐Capizzano. (2018). Block Generalized Locally Toeplitz Sequences: From the Theory to the Applications. Axioms. 7(3). 49–49. 22 indexed citations
17.
Garoni, Carlo, et al.. (2017). Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form?. Experimental Mathematics. 27(4). 478–487. 26 indexed citations
18.
Garoni, Carlo, et al.. (2016). Lusin theorem, GLT sequences and matrix computations: An application to the spectral analysis of PDE discretization matrices. Journal of Mathematical Analysis and Applications. 446(1). 365–382. 15 indexed citations
19.
Garoni, Carlo. (2016). Topological foundations of an asymptotic approximation theory for sequences of matrices with increasing size. Linear Algebra and its Applications. 513. 324–341. 5 indexed citations
20.
Garoni, Carlo. (2012). Estimates for the minimum eigenvalue and the condition number of Hermitian (block) Toeplitz matrices. Linear Algebra and its Applications. 439(3). 707–728. 4 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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2026