2026 Pierre-Antoine Absil: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	46	1332	1140	19	18	228	11594

Overview

Pierre-Antoine Absil is affiliated with the Université Catholique de Louvain in Belgium. Their research spans engineering and mathematics, with a focus on computational mechanics and numerical analysis within these broad disciplines.

The primary subfields of study for Absil include computational mechanics, numerical analysis, control and systems engineering, computational theory and mathematics, and computational mathematics.

Absil's work covers several main topics such as sparse and compressive sensing techniques, advanced optimization algorithms research, tensor decomposition and applications, matrix theory and algorithms, blind source separation techniques, stellar, planetary, and galactic studies, and astronomy and astrophysical research.

Frequent coauthors in their body of research are:

Guillaume Olikier
Simon Vary
Estelle Massart
Wen Huang
Marc Van Barel

Among the notable venues where Absil has published are:

SIAM Journal on Matrix Analysis and Applications
Set-Valued and Variational Analysis
arXiv (Cornell University)
Electric Power Systems Research
Numerical Linear Algebra with Applications

Recent papers authored or coauthored by Absil include:

"Quotient Geometry with Simple Geodesics for the Manifold of Fixed-Rank Positive-Semidefinite Matrices" (2020), published in SIAM Journal on Matrix Analysis and Applications
"Global Solution of Economic Dispatch with Valve Point Effects and Transmission Constraints" (2020), published in Electric Power Systems Research
"Computing the matrix geometric mean: Riemannian versus Euclidean conditioning, implementation techniques, and a Riemannian BFGS method" (2020), published in Numerical Linear Algebra with Applications
"An Apocalypse-Free First-Order Low-Rank Optimization Algorithm with at Most One Rank Reduction Attempt per Iteration" (2023), published in SIAM Journal on Matrix Analysis and Applications
"A Riemannian Proximal Newton Method" (2024), published in SIAM Journal on Optimization

Best Publications

Optimization Algorithms on Matrix Manifolds

P.-A. Absil;R. Mahony;R. Sepulchre

3042
Citations
Manopt, a matlab toolbox for optimization on manifolds

Nicolas Boumal;Bamdev Mishra;P.-A. Absil;Rodolphe Sepulchre

955
Citations
Trust-Region Methods on Riemannian Manifolds

P.-A. Absil;C. G. Baker;K. A. Gallivan

517
Citations
Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation

P.-A. Absil;R. Mahony;Rodolphe Sepulchre

482
Citations
Convergence of the Iterates of Descent Methods for Analytic Cost Functions

P.-A. Absil

361
Citations
Projection-like Retractions on Matrix Manifolds

P.-A. Absil;Jérôme Malick

335
Citations
Global rates of convergence for nonconvex optimization on manifolds

Nicolas Boumal;Pierre-Antoine Absil;Coralia Cartis

310
Citations
Low-Rank Optimization on the Cone of Positive Semidefinite Matrices

M. Journée;F. Bach;P.-A. Absil;R. Sepulchre

291
Citations
H2-optimal model reduction of MIMO systems

Paul Van Dooren;Kyle A. Gallivan;Pierre-Antoine Absil

219
Citations
RTRMC: A Riemannian trust-region method for low-rank matrix completion

Nicolas Boumal;Pierre-antoine Absil

212
Citations
VIP: Vortex Image Processing Package for High-contrast Direct Imaging

Carlos Alberto Gomez Gonzalez;Olivier Wertz;Olivier Absil;Valentin Christiaens

206
Citations
Two algorithms for orthogonal nonnegative matrix factorization with application to clustering

Filippo Pompili;Nicolas Gillis;Pierre-Antoine Absil;François Glineur

203
Citations
Trust-region methods on Riemannian manifolds with applications in numerical linear algebra

Pierre-Antoine Absil;Christopher G. Baker;Kyle A. Gallivan

196
Citations
A Broyden Class of Quasi-Newton Methods for Riemannian Optimization

Wen Huang;Kyle A. Gallivan;Pierre-Antoine Absil

195
Citations
On the stable equilibrium points of gradient systems

Pierre-Antoine Absil;Pierre-Antoine Absil;Krzysztof Kurdyka

170
Citations
Elucidating the altered transcriptional programs in breast cancer using independent component analysis.

Andrew E. Teschendorff;Michel Journée;Pierre-Antoine Absil;Rodolphe Sepulchre

153
Citations
Best Low Multilinear Rank Approximation of Higher-Order Tensors, Based on the Riemannian Trust-Region Scheme

Mariya Ishteva;P.-A. Absil;Sabine Van Huffel;Lieven De Lathauwer

149
Citations
Low-rank matrix completion via preconditioned optimization on the Grassmann manifold

Nicolas Boumal;Pierre-Antoine Absil

136
Citations
An extrinsic look at the Riemannian Hessian

Pierre-Antoine Absil;Robert E. Mahony;Jochen Trumpf

125
Citations
VIP: Vortex Image Processing package for high-contrast direct imaging

C. A. Gomez Gonzalez;O. Wertz;O. Absil;V. Christiaens

124
Citations
Principal Manifolds for Data Visualization and Dimension Reduction

M Journee;AE Teschendorff;P Absil;S Tavare

0
Citations

Frequent Co-Authors

Kyle A. Gallivan Florida State University

Rodolphe Sepulchre University of Cambridge

Paul Van Dooren Université Catholique de Louvain

Lieven De Lathauwer KU Leuven

Sabine Van Huffel KU Leuven

Robert Mahony Australian National University

Andrew E. Teschendorff University College London

Michel Gevers Université Catholique de Louvain

Brian D. O. Anderson Australian National University

Anuj Srivastava Florida State University

External Links

Personal website of Pierre-Antoine Absil Google Scholar page

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