This map shows the geographic impact of Raf Vandebril'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 Raf Vandebril with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Raf Vandebril more than expected).
This network shows the impact of papers produced by Raf Vandebril. 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 Raf Vandebril. The network helps show where Raf Vandebril may publish in the future.
Co-authorship network of co-authors of Raf Vandebril
This figure shows the co-authorship network connecting the top 25 collaborators of Raf Vandebril.
A scholar is included among the top collaborators of Raf Vandebril 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 Raf Vandebril. Raf Vandebril is excluded from
the visualization to improve readability, since they are connected to all nodes in the network.
Mastronardi, Nicola, Marc Van Barel, Raf Vandebril, & Paul Van Dooren. (2023). Rational QZ steps with perfect shifts. Numerical Algorithms. 95(3). 1079–1102.
Robol, Leonardo, et al.. (2016). Roots of Polynomials: on twisted QR methods for companion matrices and pencils. Nazarbayev University Repository (Nazarbayev University). 1611(2435).1 indexed citations
6.
Robol, Leonardo, et al.. (2016). Fast and backward stable computation of the eigenvalues of matrix polynomials. Nazarbayev University Repository (Nazarbayev University). 1611(10142).2 indexed citations
7.
Vandebril, Raf, et al.. (2015). Averaging block-Toeplitz matrices with preservation of Toeplitz block structure. Lirias (KU Leuven).4 indexed citations
8.
Bini, Dario A., Lieven De Lathauwer, Nicola Mastronardi, et al.. (2014). Introduction to the special issue. Journal of Computational and Applied Mathematics. 272. 275–275.1 indexed citations
Vandebril, Raf, et al.. (2013). Geometric mean algorithms based on harmonic and arithmetic iterations. Lecture notes in computer science. 8085. 785–793.1 indexed citations
Vandebril, Raf, Marc Van Barel, & Nicola Mastronardi. (2009). Eigenvalue and singular value methods. Johns Hopkins University Press eBooks.5 indexed citations
Vandebril, Raf, Marc Van Barel, & Nicola Mastronardi. (2008). A parallel QR-factorization/solver of quasiseparable matrices. ETNA - Electronic Transactions on Numerical Analysis. 30. 144–167.2 indexed citations
17.
Mastronardi, Nicola, Marc Van Barel, & Raf Vandebril. (2008). On the computation of the nullspace of Toeplitz-like matrices. ETNA - Electronic Transactions on Numerical Analysis. 33. 151–162.1 indexed citations
18.
Vandebril, Raf, Nicola Mastronardi, & Marc Van Barel. (2007). Solving linear systems with a Levinson-like solver.. ETNA - Electronic Transactions on Numerical Analysis. 26. 243–269.1 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.