Projects per year
Personal profile
Areas of expertise
Numerical analysis, optimization, algorithms, transportation modelling, numerical linear algebra, mobility analysis
External responsibilities
Awards
Diplomas
Areas of expertise
External responsibilities
Awards
Diplomas
Education/Academic qualification
Doctor of Science, University of Namur
Master of Mathematics, University of Namur
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Nonlinear Optimization
Mathematics
Unconstrained Optimization
Mathematics
Trust Region
Mathematics
Constrained Optimization
Mathematics
Derivatives
Engineering & Materials Science
Trust Region Method
Mathematics
Constrained optimization
Engineering & Materials Science
Objective function
Mathematics
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Projects 1987 2015
Complexity in nonlinear optimization
Toint, P., Gould, N. I. M. & Cartis, C.
1/11/08 → …
Project: Research
Recent developments in optimization methods for data assimilation in oceanography
Sartenaer, A., Laloyaux, P., Toint, P., Tshimanga Ilunga, J. & Gürol, S.
1/09/07 → …
Project: PHD
CUTEr: Constrained and Unconstrained Testing Environment, revisited (CUTEr)
1/01/01 → …
Project: Research
Research Output 1977 2019
Bernstein Concentration Inequalities for Tensors via Einstein Products
Luo, Z., Qi, L. & Toint, P., 11 Feb 2019, Arxiv, 12 p.Research output: Working paper
File
Bernstein Inequality
Concentration Inequalities
Albert Einstein
Tensors
Tensor
Evaluation complexity bounds for smooth constrained nonlinear optimization using scaled KKT conditions and high-order models
Cartis, C., Gould, N. I. M. & Toint, P., Jun 2019, Approximation and Optimization: Algorithms, Complexity and Applications. Demetriou, I. & Pardalos, P. (eds.). Springer Heidelberg, p. 5-26 20 p.Research output: Contribution in Book/Catalog/Report/Conference proceeding › Chapter
KKT Conditions
Constrained Optimization
Nonlinear Optimization
Higher Order
Derivatives
Exploiting variable precision in GMRES
Gratton, S., Simon, E., Titley-Peloquin, D. & Toint, P., Jul 2019, 19 p.Research output: Working paper
File
GMRES
Digital arithmetic
Arnoldi
Iterative Solver
Floating-point Arithmetic
High-Order Evaluation Complexity for Convexly-Constrained Optimization with Non-Lipschitzian Group Sparsity Terms
Chen, X. & Toint, P., 28 Feb 2019, Arxiv, p. 1-27, 27 p.Research output: Working paper
File
Constrained optimization
Constrained Optimization
Sparsity
Higher Order
Evaluation
Minimization of nonsmooth nonconvex functions using inexact evaluations and its worst-case complexity
Gratton, S., Simon, E. & Toint, P., Feb 2019, Arxiv, 19 p.Research output: Working paper
File
Derivatives
Evaluation
Adaptive algorithms
Nonconvex Minimization
Inexact Methods
Prizes
honors and awards
orchards
Activities 1974 2019
ENSEEIHT-IRIT
Philippe Toint (Visiting researcher)4 Feb 2019 → 3 Apr 2019
Activity: Visiting an external institution types › Visiting an external academic institution
Recent Advances in Evaluation Complexity for Nonconvex Optimization
Philippe Toint (Speaker)28 Nov 2018
Activity: Talk or presentation types › Invited talk
Departement of Applied Mathematics, Polytechnic University of Hong Kong
Philippe Toint (Visiting researcher)15 Nov 2018 → 15 Dec 2018
Activity: Visiting an external institution types › Visiting an external academic institution
Università di Firenze
Philippe Toint (Visiting researcher)15 Sep 2018 → 15 Oct 2018
Activity: Visiting an external institution types › Visiting an external academic institution
Worst-case evaluation complexity for nonconvex optimization: adventures in the jungle of high-order nonlinear optimization
Philippe Toint (Speaker)8 Sep 2018
Activity: Talk or presentation types › Invited talk
Thesis
A global optimization method for mixed integer nonlinear nonconvex problems related to power systems analysis
Author: Wanufelle, E., 6 Dec 2007Supervisor: Sartenaer, A. (Supervisor), Strodiot, J. (Jury), Toint, P. (Jury), Leyffer, S. (External person) (Jury) & Merckx, C. (External person) (Jury)
Student thesis: Doc types › Doctor of Sciences
File
Algorithmes évolutionnaires pour la programmation non-linéaire globale
Author: Roegiers, C., 2004Supervisor: Toint, P. (Supervisor), Sartenaer, A. (Jury) & Bastin, F. (Jury)
Student thesis: Master types › Master in Mathematics
Algorithms and software for multilevel nonlinear optimization
Author: Tomanos, D., 4 Sep 2009Supervisor: Toint, P. (Supervisor), Sartenaer, A. (President), Winkin, J. (Jury), Gratton, S. (External person) (Jury) & Orban, D. (External person) (Jury)
Student thesis: Doc types › Doctor of Sciences
File
Amélioration d'un modèle d'océan en couche mince pour l'algorihmique des sciences de la terre
Author: TILMAN, E., 31 Aug 2012Supervisor: Toint, P. (Supervisor), Sartenaer, A. (Jury), Graton, S. (External person) (Jury) & Lambiotte, R. (Jury)
Student thesis: Master types › Master in Mathematics
Analyse de l'utilisation d'un modèle d'affectation statique agrégé pour évaluer les émissions de gaz polluants
Author: Demeulder, L., 2004Supervisor: Toint, P. (Supervisor), Cornelis, É. (Co-Supervisor) & Colson, B. (Jury)
Student thesis: Master types › Master in Mathematics
Press / Media
Worst-case complexity of nonlinear optimization: where do we stand?
22/12/14
1 item of media coverage
Press/Media: Expert Comment