P.-A. Absil

6.5k total citations · 2 hit papers
38 papers, 4.0k citations indexed

About

P.-A. Absil is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Numerical Analysis. According to data from OpenAlex, P.-A. Absil has authored 38 papers receiving a total of 4.0k indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Computational Theory and Mathematics, 12 papers in Computational Mechanics and 8 papers in Numerical Analysis. Recurrent topics in P.-A. Absil's work include Matrix Theory and Algorithms (16 papers), Advanced Optimization Algorithms Research (8 papers) and Sparse and Compressive Sensing Techniques (5 papers). P.-A. Absil is often cited by papers focused on Matrix Theory and Algorithms (16 papers), Advanced Optimization Algorithms Research (8 papers) and Sparse and Compressive Sensing Techniques (5 papers). P.-A. Absil collaborates with scholars based in Belgium, United States and Australia. P.-A. Absil's co-authors include Rodolphe Sepulchre, Robert Mahony, Jérôme Malick, Nicolas Boumal, Kyle A. Gallivan, Christopher G. Baker, Paul Van Dooren, Ali Bilge, Paul Gérard and Amit Singer and has published in prestigious journals such as Neurocomputing, SIAM Journal on Numerical Analysis and Physica A Statistical Mechanics and its Applications.

In The Last Decade

P.-A. Absil

36 papers receiving 3.8k 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.

Optimization Algorithms on Matrix Manifolds

2008 1.9k citations Rodolphe Sepulchre, P.-A. Absil et al. profile →
Optimization Algorithms on Matrix Manifolds

2008 1.1k citations P.-A. Absil, Robert Mahony et al. profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
P.-A. Absil	1.3k	981	812	687	677	38	4.0k
Per‐Gunnar Martinsson	1.5k 1.2×	645 0.7×	1000 1.2×	1.1k 1.6×	178 0.3×	57	4.7k
Maryam Fazel	3.0k 2.4×	1.3k 1.4×	400 0.5×	795 1.2×	476 0.7×	79	5.2k
Pablo A. Parrilo	2.4k 1.9×	975 1.0×	1.9k 2.3×	1.8k 2.6×	1.5k 2.2×	158	9.4k
Zaiwen Wen	1.5k 1.1×	888 0.9×	491 0.6×	520 0.8×	579 0.9×	84	2.9k
Ming Gu	924 0.7×	690 0.7×	1.6k 2.0×	1.1k 1.6×	495 0.7×	87	4.3k
Robert J. Plemmons	1.0k 0.8×	1.4k 1.4×	1.8k 2.3×	750 1.1×	847 1.3×	175	6.0k
Kim-Chuan Toh	2.7k 2.1×	1000 1.0×	2.1k 2.6×	807 1.2×	2.3k 3.4×	142	6.9k
J.F. Sturm	1.2k 0.9×	480 0.5×	1.6k 2.0×	564 0.8×	1.4k 2.1×	31	6.5k
Vladimir Temlyakov	2.3k 1.8×	1.2k 1.2×	425 0.5×	409 0.6×	1.2k 1.7×	141	4.8k
Lothar Reichel	1.5k 1.2×	954 1.0×	3.0k 3.7×	310 0.5×	1.5k 2.2×	348	6.9k

Countries citing papers authored by P.-A. Absil

Since Specialization

Citations

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

Fields of papers citing papers by P.-A. Absil

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P.-A. Absil. 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 P.-A. Absil. The network helps show where P.-A. Absil may publish in the future.

Co-authorship network of co-authors of P.-A. Absil

This figure shows the co-authorship network connecting the top 25 collaborators of P.-A. Absil. A scholar is included among the top collaborators of P.-A. Absil 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 P.-A. Absil. P.-A. Absil is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Absil, P.-A., et al.. (2025). The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold. SIAM Journal on Matrix Analysis and Applications. 46(2). 1145–1167.

Zimmermann, Ralf, et al.. (2024). A Grassmann manifold handbook: basic geometry and computational aspects. Advances in Computational Mathematics. 50(1). 20 indexed citations

Tahry, Riëm El, et al.. (2022). Estimation of seizure onset zone from ictal scalp EEG using independent component analysis in extratemporal lobe epilepsy. Journal of Neural Engineering. 19(2). 26005–26005. 5 indexed citations

Son, Nguyen Thanh, P.-A. Absil, Bin Gao, & Tatjana Stykel. (2021). Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization. SIAM Journal on Matrix Analysis and Applications. 42(4). 1732–1757. 9 indexed citations

Gao, Bin, Nguyen Thanh Son, P.-A. Absil, & Tatjana Stykel. (2021). Riemannian Optimization on the Symplectic Stiefel Manifold. SIAM Journal on Optimization. 31(2). 1546–1575. 21 indexed citations

Absil, P.-A., et al.. (2020). Riemannian gradient descent methods for graph-regularized matrix completion. Linear Algebra and its Applications. 623. 193–235. 4 indexed citations

Absil, P.-A., et al.. (2018). Data Fitting on Manifolds with Composite Bézier-Like Curves and Blended Cubic Splines. Journal of Mathematical Imaging and Vision. 61(5). 645–671. 19 indexed citations

Absil, P.-A., et al.. (2018). Graph learning for regularized low rank matrix completion. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 460–467. 1 indexed citations

Absil, P.-A., et al.. (2018). MIQP-Based Algorithm for the Global Solution of Economic Dispatch Problems with Valve-Point Effects. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 1–7. 5 indexed citations

10.

Absil, P.-A., et al.. (2016). Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds. SIAM Journal on Imaging Sciences. 9(4). 1788–1828. 13 indexed citations

11.

Boumal, Nicolas & P.-A. Absil. (2015). Low-rank matrix completion via preconditioned optimization on the Grassmann manifold. Linear Algebra and its Applications. 475. 200–239. 73 indexed citations

12.

Boumal, Nicolas & P.-A. Absil. (2011). A discrete regression method on manifolds and its application to data on SO(n). IFAC Proceedings Volumes. 44(1). 2284–2289. 26 indexed citations

13.

Baker, Christopher G., P.-A. Absil, & Kyle A. Gallivan. (2008). An implicit trust-region method on Riemannian manifolds. IMA Journal of Numerical Analysis. 28(4). 665–689. 29 indexed citations

14.

Sepulchre, Rodolphe, P.-A. Absil, & Robert Mahony. (2008). Optimization Algorithms on Matrix Manifolds. 1881 indexed citations breakdown →

15.

Absil, P.-A. & Kyle A. Gallivan. (2006). Joint Diagonalization on the Oblique Manifold for Independent Component Analysis. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 5. V–945. 54 indexed citations

16.

Absil, P.-A., Christopher G. Baker, & Kyle A. Gallivan. (2005). A truncated-CG style method for symmetric generalized eigenvalue problems. Journal of Computational and Applied Mathematics. 189(1-2). 274–285. 33 indexed citations

17.

Absil, P.-A., Robert Mahony, & Rodolphe Sepulchre. (2004). Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation. Acta Applicandae Mathematicae. 80(2). 199–220. 236 indexed citations

18.

Absil, P.-A., Rodolphe Sepulchre, Paul Van Dooren, & Robert Mahony. (2004). Cubically Convergent Iterations for Invariant Subspace Computation. SIAM Journal on Matrix Analysis and Applications. 26(1). 70–96. 20 indexed citations

19.

Mahony, Robert & P.-A. Absil. (2003). The continuous-time Rayleigh quotient flow on the sphere. Linear Algebra and its Applications. 368. 343–357. 11 indexed citations

20.

Absil, P.-A., Robert Mahony, Rodolphe Sepulchre, & Paul Van Dooren. (2002). A Grassmann-Rayleigh quotient iteration for computing invariant subspaces. 5. 4241–4246. 3 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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