World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
11594
World Ranking
1332
National Ranking
19

Pierre-Antoine Absil publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Pierre-Antoine Absil sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 228 publications — 72nd percentile

72% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Pierre-Antoine Absil D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Pierre-Antoine Absil sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 46 D-Index — 64th percentile

64% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

  • Manopt, a matlab toolbox for optimization on manifolds

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

  • Trust-Region Methods on Riemannian Manifolds

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

  • Riemannian Geometry of Grassmann Manifolds with a View on Algorithmic Computation

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

  • Convergence of the Iterates of Descent Methods for Analytic Cost Functions

    P.-A. Absil

  • Projection-like Retractions on Matrix Manifolds

    P.-A. Absil;Jérôme Malick

  • Global rates of convergence for nonconvex optimization on manifolds

    Nicolas Boumal;Pierre-Antoine Absil;Coralia Cartis

  • Low-Rank Optimization on the Cone of Positive Semidefinite Matrices

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

  • H2-optimal model reduction of MIMO systems

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

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

    Nicolas Boumal;Pierre-antoine Absil

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

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

  • Two algorithms for orthogonal nonnegative matrix factorization with application to clustering

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

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

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

  • A Broyden Class of Quasi-Newton Methods for Riemannian Optimization

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

  • On the stable equilibrium points of gradient systems

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

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

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

  • 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

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

    Nicolas Boumal;Pierre-Antoine Absil

  • An extrinsic look at the Riemannian Hessian

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

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

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

  • Principal Manifolds for Data Visualization and Dimension Reduction

    M Journee;AE Teschendorff;P Absil;S Tavare

Frequent Co-Authors

Kyle A. Gallivan
Kyle A. Gallivan Florida State University
Rodolphe Sepulchre
Rodolphe Sepulchre University of Cambridge
Paul Van Dooren
Paul Van Dooren Université Catholique de Louvain
Robert Mahony
Robert Mahony Australian National University
Andrew E. Teschendorff
Andrew E. Teschendorff University College London
Michel Gevers
Michel Gevers Université Catholique de Louvain
Brian D. O. Anderson
Brian D. O. Anderson Australian National University
Anuj Srivastava
Anuj Srivastava Florida State University

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