World's Best Scientists 2026 revealed!
Philippe L. Toint

Philippe L. Toint

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Mathematics
Belgium
2026

D-Index & Metrics

Mathematics

D-Index
65
Citations
23075
World Ranking
381
National Ranking
6

Engineering and Technology

D-Index
65
Citations
23381
World Ranking
1489
National Ranking
16

Philippe L. Toint 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 Philippe L. Toint 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: 272 publications — 81st percentile

81% of scientists in this discipline score the same or lower.

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

Philippe L. Toint 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 Philippe L. Toint 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: 65 D-Index — 90th percentile

90% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2026 - Research.com Mathematics in Belgium Leader Award
  • 2025 - Research.com Mathematics in Belgium Leader Award
  • 2023 - Research.com Mathematics in Belgium Leader Award
  • 2009 - SIAM Fellow For contributions to the theory and practice of numerical optimization.

Overview

Philippe L. Toint is affiliated with the University of Namur in Belgium and has a research profile focused on computer science, engineering, and mathematics. Their work spans several subfields such as computational mechanics, artificial intelligence, numerical analysis, computational theory and mathematics, and mathematical physics.

The scientist's research topics include sparse and compressive sensing techniques, advanced optimization algorithms research, stochastic gradient optimization techniques, numerical methods in inverse problems, optimization and variational analysis, model reduction and neural networks, and neural networks and applications.

Frequent co-authors of Philippe L. Toint are:

  • Serge Gratton
  • S. Gratton
  • Nicholas I. M. Gould
  • Sadok Jerad
  • Stefania Bellavia

Key publication venues where Philippe L. Toint regularly contributes include:

  • arXiv (Cornell University)
  • Computational Optimization and Applications
  • Optimization Methods & Software
  • Mathematical Programming
  • SIAM Journal on Optimization

Some recent papers authored or co-authored by Philippe L. Toint are:

  • A data assimilation algorithm for predicting rain, 2021, Quarterly Journal of the Royal Meteorological Society
  • An algorithm for the minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity, 2020, Mathematical Programming
  • Adaptive regularization for nonconvex optimization using inexact function values and randomly perturbed derivatives, 2021, Journal of Complexity
  • A note on solving nonlinear optimization problems in variable precision, 2020, Computational Optimization and Applications
  • High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms, 2020, Mathematical Programming

Philippe L. Toint has also contributed to the literature as an author of books published by the Society for Industrial and Applied Mathematics, including the work titled Evaluation Complexity of Algorithms for Nonconvex Optimization: Theory, Computation and Perspectives published in 2022.

In recognition of their contributions to numerical optimization, Philippe L. Toint was awarded the title of SIAM Fellow in 2009.

Best Publications

  • Trust Region Methods

    Andrew R. Conn;Nicholas I. M. Gould;Philippe L. Toint

  • CUTE: constrained and unconstrained testing environment

    I. Bongartz;A. R. Conn;Nick Gould;Ph. L. Toint

  • A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds

    Andrew R. Conn;Nicholas I. M. Gould;Philippe L. Toint

  • Lancelot: A FORTRAN Package for Large-Scale Nonlinear Optimization (Release A)

    A. R. Conn;N. I. M. Gould;Ph L. Toint

  • CUTEr and SifDec: A constrained and unconstrained testing environment, revisited

    Nicholas I. M. Gould;Dominique Orban;Philippe L. Toint

  • On the Global Convergence of a Filter--SQP Algorithm

    Roger Fletcher;Sven Leyffer;Philippe L. Toint

  • Global Convergence of a Trust-Region SQP-Filter Algorithm for General Nonlinear Programming

    Roger Fletcher;Nicholas I. M. Gould;Sven Leyffer;Philippe L. Toint

  • A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds

    A. R. Conn;Nick Gould;Ph. L. Toint

  • Global convergence of a class of trust region algorithms for optimization with simple bounds

    A. R. Conn;I. M. Gould;Ph. L. Toint

  • Adaptive cubic regularisation methods for unconstrained optimization. Part I: motivation, convergence and numerical results

    Coralia Cartis;Nicholas I. Gould;Philippe L. Toint

  • CUTEst: a Constrained and Unconstrained Testing Environment with safe threads for mathematical optimization

    Nicholas I. Gould;Dominique Orban;Philippe L. Toint

  • On an instance of the inverse shortest paths problem

    D. Burton;Ph. L. Toint

  • Solving the Trust-Region Subproblem using the Lanczos Method

    Nicholas I. M. Gould;Stefano Lucidi;Massimo Roma;Philippe L. Toint

  • Testing a class of methods for solving minimization problems with simple bounds on the variables

    Andrew R. Conn;Nicholas I. M. Gould;Philippe L. Toint

  • Recent progress in unconstrained nonlinear optimization without derivatives

    A. R. Conn;K. Scheinberg;Ph. L. Toint

  • Towards an Efficient Sparsity Exploiting Newton Method for Minimization

    Philippe Toint

  • Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity

    Coralia Cartis;Nicholas I. M. Gould;Philippe L. Toint

  • Convergence of quasi-Newton matrices generated by the symmetric rank one update

    A. R. Conn;N. I. M. Gould;Ph. L. Toint

  • On the convergence of derivative-free methods for unconstrained optimization

    Andy Conn;Katya Scheinberg;Philippe Toint

  • GALAHAD, a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization

    Nicholas I. M. Gould;Dominique Orban;Philippe L. Toint

  • SOLVING THE TRUST-REGION SUBPROBLEM USING THE

    Nicholas I. M. Gould;Stefano Lucidi;Massimo Roma;Philippe L. Toint

Frequent Co-Authors

Nicholas I. M. Gould
Nicholas I. M. Gould Rutherford Appleton Laboratory
Henry Tulkens
Henry Tulkens Université Catholique de Louvain
Sven Leyffer
Sven Leyffer Argonne National Laboratory
Roger Fletcher
Roger Fletcher University of Dundee
Liqun Qi
Liqun Qi Hong Kong Polytechnic University
Andreas Griewank
Andreas Griewank Humboldt-Universität zu Berlin
Ya-xiang Yuan
Ya-xiang Yuan Chinese Academy of Sciences
Michel Bierlaire
Michel Bierlaire École Polytechnique Fédérale de Lausanne
Martine Labbé
Martine Labbé Université Libre de Bruxelles
Gilbert Laporte
Gilbert Laporte HEC Montréal

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