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  • Philippe TOINT
2011

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

Cartis, C., Gould, N. I. M. & Toint, P. L., 1 Apr 2011, In : Mathematical Programming. 127, 2, p. 245-295 51 p.

Research output: Contribution to journalArticle

File
39 Downloads (Pure)

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

Cartis, C., Gould, N. & Toint, P., 1 Dec 2011, In : Mathematical Programming. 130, 2, p. 295-319 25 p.

Research output: Contribution to journalArticle

File
52 Downloads (Pure)

An active-set trust-region method for derivative-free nonlinear bound-constrained optimization

Gratton, S., Toint, P. & Tröltzsch, A., 1 Aug 2011, In : Optimization Methods and Software. 26, 4-5, p. 873-894 22 p.

Research output: Contribution to journalArticle

File
28 Downloads (Pure)

Approximating Hessians in multilevel unconstrained optimization

Malmedy, V. & Toint, P., 2011, In : Computational Optimization and Applications. 50, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

File
2 Downloads (Pure)

Approximating Hessians in unconstrained optimization arising from discretized problems

Malmedy, V. & Toint, P., 1 Sep 2011, In : Computational Optimization and Applications. 50, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

File
49 Downloads (Pure)

Fast regularized linear sampling for inverse scattering problems

Fares, M., Gratton, S. & Toint, P., 1 Jan 2011, In : Numerical Linear Algebra with Applications. 18, 1, p. 55-68 14 p.

Research output: Contribution to journalArticle

File
32 Downloads (Pure)

On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming

Cartis, C., Gould, N. & Toint, P., 1 Jan 2011, In : SIAM Journal on Optimization. 21, 4, p. 1721-1739 19 p.

Research output: Contribution to journalArticle

File
46 Downloads (Pure)

Optimal Newton-type methods for nonconvex smooth optimization problems

Cartis, C., Gould, N. & Toint, P., 2011, Namur: Namur center for complex systems.

Research output: Book/Report/JournalOther report

Range-space variants and inexact matrix-vector products in Krylov solvers for linear systems arising from inverse problems

Gratton, S., Toint, P. & Tshimanga Ilunga, J., 1 Jan 2011, In : SIAM Journal on Matrix Analysis and Applications. 32, 3, p. 969-986 18 p.

Research output: Contribution to journalArticle

File
64 Downloads (Pure)

Stopping rules and backward error analysis for bound-constrained optimization

Gratton, S., Mouffe, M. & Toint, P., 1 Sep 2011, In : Numerische Mathematik. 119, 1, p. 163-187 25 p.

Research output: Contribution to journalArticle

File
154 Downloads (Pure)
2012

A Model of Weekly Labor Participation for a Belgian Synthetic Population

Cirillo, C., Cornelis, E. & Toint, P., 1 Mar 2012, In : Networks and Spatial Economics. 12, 1, p. 59-73 15 p.

Research output: Contribution to journalArticle

File
42 Downloads (Pure)

An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity

Cartis, C., Gould, N. & Toint, P., 1 Oct 2012, In : IMA Journal of Numerical Analysis. 32, 4, p. 1662-1695 34 p.

Research output: Contribution to journalArticle

File
27 Downloads (Pure)

Complexity bounds for second-order optimality in unconstrained optimization

Cartis, C., Gould, N. I. M. & Toint, P., 1 Feb 2012, In : Journal of Complexity. 28, p. 93-108 16 p.

Research output: Contribution to journalArticle

File
46 Downloads (Pure)

Erratum: Nonlinear programming without a penalty function or a filter (Mathematical Programming (2010) 122 (155-196)

Gould, N. I. M. & Toint, P., 1 Feb 2012, In : Mathematical Programming. 131, 1-2, p. 403-404 2 p.

Research output: Contribution to journalArticle

File
43 Downloads (Pure)

Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization

Toint, P., Cartis, C. & Gould, N., 1 Apr 2012, In : Optimization Methods and Software. 27, 2, p. 197-219 23 p.

Research output: Contribution to journalArticle

File
59 Downloads (Pure)

How much gradient noise does a gradient-based linesearch method tolerate ?

Gratton, S., Toint, P. & Tröltzsch, A., 2012, FUNDP. Namur center for complex systems. (NAXYS Technical Report; vol. 04-2012)

Research output: Book/Report/JournalOther report

How much patience do you have? A worst-case perspective on smooth nonconvex optimization

Cartis, C., Gould, N. & Toint, P., 1 Jan 2012, In : Optima. 88, 1-10

Research output: Contribution to journalArticle

Open Access
File
48 Downloads (Pure)

Mobilité des Personnes: Tendances, réalisations et défis

Translated title of the contribution: Individual mobility: Trends, facts and challengesCornelis, E. & Toint, P., Dec 2012, Bruxelles: Conseil Central de l'Economie. (Lettre Mensuelle Socio-économique; vol. 186)

Research output: Book/Report/JournalCommissioned report

On the complexity of the steepest-descent with exact linesearches

Cartis, C., Gould, N. I. M. & Toint, P., 2012, FUNDP. Namur center for complex systems. (NAXYS Technical Report; vol. 16-2012)

Research output: Book/Report/JournalOther report

Open Access
File
58 Downloads (Pure)

On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization

Cartis, C., Gould, N. I. M. & Toint, P., 1 Jan 2012, In : SIAM Journal on Optimization. 22, 1, p. 66-86 21 p.

Research output: Contribution to journalArticle

File
34 Downloads (Pure)

Updating the regularization parameter in the adaptive cubic regularization algorithm

Gould, N., Porcelli, M. & Toint, P., 1 Sep 2012, In : Computational Optimization and Applications. 53, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

File
27 Downloads (Pure)

Using approximate secant equations in limited memory methods for multilevel unconstrained optimization

Gratton, S., Malmedy, V. & Toint, P., 1 Apr 2012, In : Computational Optimization and Applications. 51, 3, p. 967-979 13 p.

Research output: Contribution to journalArticle

File
49 Downloads (Pure)
2013

Adaptive Observations And Multilevel Optimization In Data Assimilation

Gratton, S., Rincon-Camacho, M. & Toint, P., 2013, Namur: Namur center for complex systems, 18 p.

Research output: Working paper

File
33 Downloads (Pure)

Aircraft fuselage sizing with multilevel optimization

Colson, B., Porcelli, M. & Toint, P., 3 May 2013, Namur center for complex systems.

Research output: Book/Report/JournalCommissioned report

File
76 Downloads (Pure)
File
82 Downloads (Pure)

An original synthetic population tool applied to Belgian case: VirtualBelgium

Cornelis, E., Hollaert, L., Barthelemy, J. & Toint, P., 5 Mar 2013, NTTS - Conferences on New Techniques and Technologies for Statistics - Proceedings: The meeting place for Research in Official Statistics. Brussels: EUROSTAT, p. 695 - 701 7 p.

Research output: Contribution in Book/Catalog/Report/Conference proceedingConference contribution

A note about the complexity of minimizing Nesterov's smooth Chebyshev-Rosenbrock function

Cartis, C., Gould, N. I. M. & Toint, P. L., 1 Jun 2013, In : Optimization Methods and Software. 28, 3, p. 451-457 7 p.

Research output: Contribution to journalArticle

File
24 Downloads (Pure)

Conjugate gradients versus multigrid solvers for diffusion-based correlation models in data assimilation

Gratton, S., Toint, P. L. & Tshimanga, J., 2013, In : Quarterly Journal of the Royal Meteorological Society. 139, 675, p. 1481-1487 7 p.

Research output: Contribution to journalArticle

Open Access
File
30 Downloads (Pure)

Entends-tu cette main

Translated title of the contribution: Do you hear that handToint, P., 16 Oct 2013, 1 p. L'Arbre à paroles.

Research output: Other contribution

Open Access
File
37 Downloads (Pure)

Nonlinear stepsize control, trust regions and regularizations for unconstrained optimization

Toint, P., 1 Feb 2013, In : Optimization Methods and Software. 28, 1, p. 82-95 14 p.

Research output: Contribution to journalArticle

File
123 Downloads (Pure)
Open Access
File
47 Downloads (Pure)
File
29 Downloads (Pure)

Synthetic population generation without a sample

Barthelemy, J. & Toint, P., 1 May 2013, In : Transportation Science. 47, 2, p. 266-279 14 p.

Research output: Contribution to journalArticle

File
185 Downloads (Pure)
2014
File
136 Downloads (Pure)

Linearizing the Method of Conjugate Gradients

Gratton, S., Titley-Peloquin, D., Toint, P. & Tshimanga Ilunga, J., 2014, In : SIAM Journal on Matrix Analysis and Applications. 35, 1, p. 110-126

Research output: Contribution to journalArticle

Open Access
File
64 Downloads (Pure)

On the complexity of finding first-order critical points in constrained nonlinear optimization

Cartis, C., Gould, N. I. M. & Toint, P. L., 2014, In : Mathematical Programming. 144, 1-2, p. 93-106 14 p.

Research output: Contribution to journalArticle

File
28 Downloads (Pure)
2015

A derivative-free trust-funnel method for equality-constrained nonlinear optimization

Rodrigues Sampaio, P. & Toint, P. L., 1 May 2015, In : Computational Optimization and Applications. 61, 1, p. 25-49 25 p.

Research output: Contribution to journalArticle

An interior-point ℓ1-penalty method for nonlinear optimization

Gould, N. I. M., Orban, D. & Toint, P. L., 2015, Springer Proceedings in Mathematics and Statistics: Proceedings of NAOIII 2014. Springer New York, Vol. 134. p. 117-150 34 p.

Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter (peer-reviewed)

File
82 Downloads (Pure)

CUTEST: a Constrained and Unconstrained Testing Environment with safe threads

Gould, N. I. M., Orban, D. & Toint, P., 2015, In : Computational Optimization and Applications. 60, 3, p. 545-557 13 p.

Research output: Contribution to journalArticle

File
125 Downloads (Pure)

Improved worst-case evaluation complexity for potentially rank-deficient nonlinear least-Euclidean-norm problems using higher-order regularized models

Cartis, C., Gould, N. I. M. & Toint, P., 18 Nov 2015, 18 p. (naXys technical report).

Research output: Working paper

File
44 Downloads (Pure)

Le théorème d'Alaoglu et ses suites

Toint, P., 2015, Géodésiques : Dix rencontres entre sciences et littérature. Godin, M. & Lambiotte, R. (eds.). L'arbre de Diane, p. 44-45 (La tortue de Zénon; no. 3).

Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter (peer-reviewed)

Observations Thinning In Data Assimilation Computations

Gratton, S., Rincon-Camacho, M., Simon, E. & Toint, P., 2015, In : EURO Journal on Computational Optimization. 3, p. 31-51

Research output: Contribution to journalArticle

File
79 Downloads (Pure)
Open Access
File
54 Downloads (Pure)

Quasi-Newton updates with weighted secant equations

Gratton, S., Malmedy, V. & Toint, P., 4 Jul 2015, In : Optimization Methods and Software. 30, 4, p. 748-755 8 p.

Research output: Contribution to journalArticle

File
30 Downloads (Pure)

Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models

Birgin, E., Gardenghi, J., Martinez, J-M., Santos, S. A. & Toint, P., Jun 2015, 2015: Namur center for complex systems, 8 p. (naXys Technical Reports; vol. 05-2015).

Research output: Working paper

File
28 Downloads (Pure)

Worst-case evaluation complexity of non-monotone gradient-related algorithms for unconstrained optimization

Cartis, C., Rodrigues Sampaio, P. & Toint, P. L., 4 May 2015, In : Optimization. 64, 5, p. 1349-1361 13 p.

Research output: Contribution to journalArticle

File
51 Downloads (Pure)
2016

Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models

Birgin, E., Gardenghi, J., Martinez, J-M., Santos, S. & Toint, P., 2016, In : SIAM Journal on Optimization. 26, 2, 20 p.

Research output: Contribution to journalArticle

File
6 Downloads (Pure)
Open Access
File
10 Downloads (Pure)

Simple examples for the failure of Newton’s method with line search for strictly convex minimization

Jarre, F. & Toint, P. L., Jun 2016, In : Mathematical Programming. 158, 1, p. 23-34

Research output: Contribution to journalArticle