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Philippe L. Toint

Philippe L. Toint

Award Badge
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
1487
National Ranking
16

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 University of Oxford
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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