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Research Output

2020

A concise second-order complexity analysis for unconstrained optimization using high-order regularized models

Cartis, C., Gould, N. I. M. & Toint, P. L., 3 Mar 2020, In : Optimization Methods and Software. 35, 2, p. 243-256 14 p.

Research output: Contribution to journalArticle

Adaptive regularization algorithms with inexact evaluations for nonconvex optimization

Bellavia, S., Gurioli, G., Morini, B. & Toint, P., 2 Jan 2020, In : SIAM Journal on Optimization. 29, 4, p. 2881-2915 35 p.

Research output: Contribution to journalArticle

Open Access
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1 Downloads (Pure)
Open Access
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3 Downloads (Pure)

Global and local information in structured derivative free optimization with BFO

Porcelli, M. & Toint, P., 15 Jan 2020, Arxiv, 27 p.

Research output: Working paper

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High-Order Evaluation Complexity for Convexly-Constrained Optimization with Non-Lipschitzian Group Sparsity Terms

Chen, X. & Toint, P., 1 Jan 2020, (Accepted/In press) In : Mathematical Programming. 1902.10767, p. 1-27 27 p.

Research output: Contribution to journalArticle

Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints

Toint, P., Cartis, C. & Gould, N. I. M., Jan 2020, In : SIAM Journal on Optimization. 30, 1, p. 513-541

Research output: Contribution to journalArticle

Open Access
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1 Downloads (Pure)
2019
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A note on using performance and data profiles for training algorithms

Porcelli, M. & Toint, P. L., 1 Jan 2019, In : ACM Transactions on Mathematical Software. 45, 2, a20.

Research output: Contribution to journalArticle

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6 Downloads (Pure)

Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities

Chen, X., Toint, P. & Wang, H., 15 Apr 2019, In : SIAM Journal on Optimization. 29, 1, p. 874-903 30 p.

Research output: Contribution to journalArticle

Open Access
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4 Downloads (Pure)

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, Springer Optimization and Its Applications: Algorithms, Complexity and Applications. Demetriou, I. & Pardalos, P. (eds.). Springer Heidelberg, p. 5-26 22 p. (Springer Optimization and Its Applications; vol. 145).

Research output: Contribution in Book/Catalog/Report/Conference proceedingChapter

Exploiting variable precision in GMRES

Gratton, S., Simon, E., Titley-Peloquin, D. & Toint, P., Jul 2019, 19 p.

Research output: Working paper

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4 Downloads (Pure)

In Memoriam of Andy Conn

Toint, P., 19 Nov 2019, In : SIAG/ OPT Views-and-News. 27, 2, p. 9-10 1 p.

Research output: Contribution to journalArticle

Optimality of orders one to three and beyond: Characterization and evaluation complexity in constrained nonconvex optimization

Cartis, C., Gould, N. I. M. & Toint, P., 10 Aug 2019, In : Journal of Complexity. 53, p. 68-94 32 p.

Research output: Contribution to journalArticle

Open Access
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1 Downloads (Pure)

Universal regularization methods: varying the power, the smoothness and the accuracy

Cartis, C., Gould, N. I. & Toint, P. L., 1 Jan 2019, In : SIAM Journal on Optimization. 29, 1, p. 595-615 21 p.

Research output: Contribution to journalArticle

Open Access
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2018

A note on preconditioning weighted linear least-squares with consequences for weakly constrained variational data assimilation

Gratton, S., Selime, G., Simon, E. & Toint, P., Apr 2018, In : Quarterly Journal of the Royal Meteorological Society. 144, 712, p. 934-940 7 p.

Research output: Contribution to journalArticle

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6 Downloads (Pure)

Guaranteeing the convergence of the saddle formulation for weakly constrained 4D-Var data assimilation

Gratton, S., Gürol, S., Simon, E. & Toint, P. L., 1 Oct 2018, In : Quarterly Journal of the Royal Meteorological Society. 144, 717, p. 2592-2602 11 p.

Research output: Contribution to journalArticle

Michael James David Powell: 29 July 1936-19 April 2015

Buhmann, M., Fletcher, R., Iserles, A. & Toint, P., 2018, In : Biogr. Mems Fell R. Soc. (London). 64: 341-366, 39 p.

Research output: Contribution to journalArticle

Open Access
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12 Downloads (Pure)

Minimizing convex quadratics with variable precision Krylov methods

Gratton, S., Simon, E. & Toint, P., 2018, (Submitted) Arxiv, 26 p.

Research output: Working paper

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11 Downloads (Pure)

Second-order optimality and beyond: Characterization and Evaluation Complexity in Convexly Constrained Nonlinear Optimization

Cartis, C., Gould, N. I. M. & Toint, P., 1 Oct 2018, In : Foundations of Computational Mathematics. 18, 5, p. 1073-1107 35 p.

Research output: Contribution to journalArticle

2017

An Interior-Point Trust-Funnel Algorithm for Nonlinear Optimization

Curtis, F., Gould, N. I. M., Robinson, D. & Toint, P., Jan 2017, In : Mathematical Programming. 161, 1-2, p. 73-134 62 p.

Research output: Contribution to journalArticle

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6 Downloads (Pure)
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7 Downloads (Pure)

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

Cartis, C., Gould, N. I. M. & Toint, P. L., 1 Jan 2017, In : Mathematical Programming. 161, 1-2, p. 611-626 16 p.

Research output: Contribution to journalArticle

On the use of the saddle formulation in weakly-constrained 4D-VAR data assimilation

Gratton, S., Gürol, S., Simon, E. & Toint, P., 20 Sep 2017, (Submitted) Arxiv.

Research output: Working paper

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5 Downloads (Pure)

Worst-case evaluation complexity and optimality of second-order methods for nonconvex smooth optimization

Cartis, C., Gould, N. I. M. & Toint, P., 22 Sep 2017, Arxiv, 35 p.

Research output: Working paper

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28 Downloads (Pure)

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

Birgin, E. G., Gardenghi, J. L., Martínez, J. M., Santos, S. A. & Toint, P. L., 15 Apr 2017, In : Mathematical Programming. 163, 1-2, p. 359-368 10 p.

Research output: Contribution to journalArticle

Open Access
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3 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

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4 Downloads (Pure)
Open Access
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9 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

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)

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64 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

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104 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

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25 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

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55 Downloads (Pure)
Open Access
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35 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

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10 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
10 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

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32 Downloads (Pure)
2014
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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
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44 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

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8 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

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12 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

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57 Downloads (Pure)
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63 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

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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
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