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, Vincent D. Blondel, Ali Bilge and Paul Gérard 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

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 →

Peers

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

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20 of 20 papers shown

#	Work	Indexed citations
1	The Ultimate Upper Bound on the Injectivity Radius of the Stiefel Manifold 2025 ·SIAM Journal on Matrix Analysis and Applications ·P.-A. Absil, (unknown)	0
2	A Grassmann manifold handbook: basic geometry and computational aspects 2024 ·Advances in Computational Mathematics ·(unknown), Ralf Zimmermann, P.-A. Absil	20
3	Estimation of seizure onset zone from ictal scalp EEG using independent component analysis in extratemporal lobe epilepsy 2022 ·Journal of Neural Engineering ·(unknown), (unknown), Riëm El Tahry, P.-A. Absil	5
4	Riemannian Optimization on the Symplectic Stiefel Manifold 2021 ·SIAM Journal on Optimization ·Bin Gao, Nguyen Thanh Son, P.-A. Absil, Tatjana Stykel	21
5	Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization 2021 ·SIAM Journal on Matrix Analysis and Applications ·Nguyen Thanh Son, P.-A. Absil, Bin Gao, Tatjana Stykel	9
6	Riemannian gradient descent methods for graph-regularized matrix completion 2020 ·Linear Algebra and its Applications ·(unknown), P.-A. Absil, Kyle A. Gallivan	4
7	Data Fitting on Manifolds with Composite Bézier-Like Curves and Blended Cubic Splines 2018 ·Journal of Mathematical Imaging and Vision ·(unknown), (unknown), P.-A. Absil	19
8	Graph learning for regularized low rank matrix completion 2018 ·Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) ·(unknown), P.-A. Absil, Kyle A. Gallivan	1
9	MIQP-Based Algorithm for the Global Solution of Economic Dispatch Problems with Valve-Point Effects 2018 ·Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) ·P.-A. Absil, (unknown), (unknown)	5
10	Differentiable Piecewise-Bézier Surfaces on Riemannian Manifolds 2016 ·SIAM Journal on Imaging Sciences ·P.-A. Absil, (unknown), (unknown), Benedikt Wirth	13
11	Low-rank matrix completion via preconditioned optimization on the Grassmann manifold 2015 ·Linear Algebra and its Applications ·Nicolas Boumal, P.-A. Absil	73
12	A discrete regression method on manifolds and its application to data on SO(n) 2011 ·IFAC Proceedings Volumes ·Nicolas Boumal, P.-A. Absil	26
13	An implicit trust-region method on Riemannian manifolds 2008 ·IMA Journal of Numerical Analysis ·Christopher G. Baker, P.-A. Absil, Kyle A. Gallivan	29
14	Optimization Algorithms on Matrix Manifolds breakdown → 2008 ·Rodolphe Sepulchre, P.-A. Absil, Robert Mahony	1881
15	Joint Diagonalization on the Oblique Manifold for Independent Component Analysis 2006 ·Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) ·P.-A. Absil, Kyle A. Gallivan	54
16	A truncated-CG style method for symmetric generalized eigenvalue problems 2005 ·Journal of Computational and Applied Mathematics ·P.-A. Absil, Christopher G. Baker, Kyle A. Gallivan	33
17	Cubically Convergent Iterations for Invariant Subspace Computation 2004 ·SIAM Journal on Matrix Analysis and Applications ·P.-A. Absil, Rodolphe Sepulchre, Paul Van Dooren, Robert Mahony	20
18	Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation 2004 ·Acta Applicandae Mathematicae ·P.-A. Absil, Robert Mahony, Rodolphe Sepulchre	236
19	The continuous-time Rayleigh quotient flow on the sphere 2003 ·Linear Algebra and its Applications ·Robert Mahony, P.-A. Absil	11
20	A Grassmann-Rayleigh quotient iteration for computing invariant subspaces 2002 ·P.-A. Absil, Robert Mahony, Rodolphe Sepulchre, Paul Van Dooren	3

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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