Publications of Ph. TOINT

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Books

J.-P. Hubert and Ph. L. Toint,
La mobilité quotidienne des Belges,
Presses Universitaires de Namur, Namur (B), 2002.
A. R. Conn, N. Gould and Ph. L. Toint,
Trust-Region Methods,
SIAM, Philadelphia, USA, 2000.
(More about this book here .)
A. R. Conn, N. Gould and Ph. L. Toint,
LANCELOT, A Fortran Package for Large-Scale Nonlinear Optimization (Release A),
Springer Verlag, Series on Computational Mathematics #17, Berlin, 1992.
(More about LANCELOT here .)
M. Castaigne, J.-P. Hubert, Ph. L. Toint,
La mobilité des aînés en Wallonie,
Presses Universitaires de Namur, Namur (B), 2003.
Ph. Toint,
Un archipel de racines,
L'arbre à paroles, Amay (B), 2004.

Multi-authored books and proceedings

M. Castaigne, J.-P. Hubert, M. Nihoul and Ph. L. Toint,
Droit et Mobilité,
Presses Universitaires de Namur, Namur (B), 2003.
K. W. Axhausen, J. L. Madre, J. W. Polak and Ph. L. Toint,
Capturing Long-Distance Travel,
Research Science Press, Baldock (UK), 2003.
M. Labbé, G. Laporte, K. Tanczos and Ph. L. Toint,
Operations Research and Decision Aid Methologies in Traffic and Transportation Management,
Springer Verlag, NATO ASI Series, Series F, vol. 166, Berlin, 1998.

Ph. L. Toint and Y. Yuan (eds.),
Special Issue Dedicated to Professor Michael J. D. Powell on the Occasion of his 70th Birthday,
Optimization Methods and Software, vol. 23(2), 2008.

N. Gould, S. Leyffer and Ph. L. Toint (eds.),
Nonlinear programming: theory and practice,
Mathematical Programming, series B, vol. 100(1), 2004.

A. R. Conn, N. Gould and Ph. L. Toint (eds.),
Large Scale Optimization -- Applications,
Mathematical Programming, vol. 48(1), 1990.

A. R. Conn, N. Gould and Ph. L. Toint (eds.),
Large Scale Optimization,
Mathematical Programming, vol. 45(3), 1989.

G. Argyrakos, M. Carrara, O. Cartsen, P. Davies, W. Mohlenbrink, M. Papageorgiou, T. Rothengatter and Ph. L. Toint
(eds. for the Commission of the European Communities, DG XIII),
Advanced Telematics in Road Transport (2 volumes),
Proceedings of the DRIVE Conference, Elsevier, Amsterdam, 1991.

Published articles

( 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997, 1996, 1995, 1994, 1993, 1992, 1991, 1990, 1988, 1987, 1986, 1985, 1984, 1983, 1982, 1981, 1980, 1979, 1978, 1977 )

2017

M. Buhmann, R. Fletcher, A. Iserles and Ph. L. Toint,
Michael J. D. Powell, an obituary memoir,
for the Royal Society London, 2017.
( text )

E. G. Birgin, J. L. Gardenghi, J. M. Martinez, S. A. Santos and Ph. L. Toint,
Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models,
Mathematical Programming, vol. 163(1), pp. 359-368, 2017.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Universal regularization methods -- varying the power, the smoothness and the accuracy,
Optimization Methods and Software, (to appear), 2017.
( text, abstract )

F. Curtis, N. I. M. Gould, D. Robinson and Ph. L. Toint,
An Interior-Point Trust-Funnel Algorithm for Nonlinear Optimization,
Mathematical Programming A, vol. 161(1), pp. 73-134, 2017.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Second-order optimality and beyond: characterization and evaluation complexity in convexly-constrained nonlinear optimization,
Foundations of Computational Mathematics, (to appear), 2017.
( text, abstract )

B. Morini, M. Porcelli and Ph. L. Toint,
Approximate norm descent methods for constrained nonlinear systems,
Mathematics of Computation, (to appear), 2017.
( text, abstract )

M. Porcelli and Ph. L. Toint,
BFO, a trainable derivative-free Brute Force Optimizer for nonlinear bound-constrained optimization and equilibrium computations with continuous and discrete variables,
Transactions of the AMS on Mathematical Software, vol. 47(1), 2017.
( text, abstract )

2016

S. Gratton, S. Gurol, E. Simon and Ph. L. Toint,
Issues in making the weakly-constrained 4DVar formulation computationally efficient,
Oberwolfach Reports, 2016.

F. Jarre and Ph. L. Toint,
Simple examples for the failure of Newton's method with line search for strictly convex minimization,
Mathematical Programming A, vol. 158(1), pp. 23-34, 2016.
( text, abstract )

E. G. Birgin and J. L. Gardenghi and J. M. Martinez, S. A. Santos and Ph. L. Toint,
Evaluation complexity for nonlinear constrained optimization using unscaled KKT conditions and high-order models,
SIAM Journal on Optimization, vol. 26(2), pp. 951-967, 2016.
( text, abstract )

Ph. Rodrigues Sampaio and Ph. L. Toint,
Numerical experience with a derivative-free trust-funnel method for nonlinear optimization problems with general nonlinear constraints,
Optimization Methods and Software, vol. 31(3), pp. 511-534, 2016.
( text, abstract )

2015

C. Cartis, N. I. M. Gould and Ph. L. Toint,
On the evaluation complexity of constrained nonlinear least-squares and general constrained nonlinear optimization using second-order methods,
SIAM Journal on Numerical Analysis, vol. 53(2), pp. 836-851, 2015.
( text, abstract )

C. Cartis, Ph. R. Sampaio and Ph. L. Toint,
Worst-case complexity of first-order non-monotone gradient-related algorithms for unconstrained optimization,
Optimization, vol. 64(5), pp. 1349-1361, 2015.
( text, abstract )

J. Barthelemy and Ph. L. Toint,
A stochastic and flexible activity based model for large populations. Application to Belgium,
Journal of Artificial Societies and Social Simulation, vol. 18(3), 2015
( text, abstract )

Ph. Rodrigues Sampaio and Ph. L. Toint,
A derivative-free trust-funnel method for equality-constrained nonlinear optimization,
Computational Optimization and Applications, vol. 61(1), pp. 25-49, 2015.
( text, abstract )

S. Gratton, M. Rincon-Camacho, E. Simon and Ph. L. Toint,
Observations Thinning In Data Assimilation,
EURO Journal on Computational Optimization, vol. 3, pp. 31-51, 2015.
( text, abstract )

N. I. M. Gould, D. Orban and Ph. L. Toint,
CUTEST: a Constrained and Unconstrained Testing Environment with safe threads,
Computational Optimization and Applications, vol. 60(3), pp. 545-557, 2015.
( text, abstract )

S. Gratton, V. Malmedy and Ph. L. Toint,
Quasi-Newton updates with weighted secant equations,
Optimization Methods and Software, to appear, 2015.
( text, abstract )

N. I. M. Gould, D. Orban and Ph. L. Toint,
An interior-point l1-penalty method for nonlinear optimization ,
in "Recent Developments in Numerical Analysis and Optimization", Proceedings of NAOIII 2014, Springer, Verlag, vol. 134, pages = {117-150}, 2015.
( text, abstract )

2014

C. Cartis, N. I. M. Gould and Ph. L. Toint,
On the complexity of finding first-order critical points in constrained nonlinear optimization,
Mathematical Programming A, vol. 144(1), pp. 93-106, 2014.
( text, erratum, abstract )

S. Gratton, D. Titley-Péloquin, Ph. L. Toint and J. Tshimanga,
Linearizing the Method of Conjugate Gradients,
SIAM Journal on Matrix Analysis and Applications, vol. 35(1), pp. 110-126, 2014.
( text, abstract )

2013

Ph. Toint,
Entends-tu cette main,
Midis de la Poésie, 16 octobre 2013.

C. Cartis, N. I. M. Gould and Ph. L. Toint,
A Note About The Complexity Of Minimizing Nesterov's Smooth Chebyshev-Rosenbrock Function,
Optimization Methods and Software, vol. 28(3), pp. 451-457, 2013.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization,
SIAM Journal on Optimization, vol. 23(3), pp. 1553-1574, 2013.
( text, abstract )

S. Gratton, Ph. L. Toint and J. Tshimanga,
Conjugate-gradients versus multigrid solvers for diffusion-based correlation models in data assimilation,
Quarterly Journal of the Royal Meteorological Society, vol. 139, pp. 1481-1487, 2013.
( text, abstract )

S. Gratton, S. Gurol and Ph. L. Toint,
Preconditioning and Globalizing Conjugate Gradients in Dual Space for Quadratically Penalized Nonlinear-Least Squares Problems,
Computational Optimization and Applications, vol. 54(1), pp. 1-25, 2013.
( text, abstract )

Ph. L. Toint,
Nonlinear Stepsize Control, Trust Regions and Regularizations for Unconstrained Optimization,
Optimization Methods and Software, vol. 28, pp. 82-95, 2013.
( text, abstract )

J. Barthelemy and Ph. L. Toint,
Synthetic population generation without a sample,
Transportation Science, vol. 47(2), pp. 266-279, 2013.
( text, abstract )

2012

C. Cartis, N. I. M. Gould and Ph. L. Toint,
An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity,
IMA Journal of Numerical Analysis, vol. 32(4), pp. 1662-1695, 2012.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Evaluation complexity of adaptive cubic regularization methods for convex unconstrained optimization,
Optimization Methods and Software, vol. 27(2), pp. 197-219, 2012.
( text, abstract )

S. Gratton, V. Malmedy and Ph. L. Toint,
Using approximate secant equations in limited-memory methods for multilevel unconstrained optimization,
Computational Optimization and Applications, vol. 51(3), pp. 967-979, 2012.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
How much patience do you have? A worst-case perspective on smooth nonconvex optimization,
Optima Newsletter, vol. 88, pp. 1--10, 2012.
( text, abstract )

N. I. M. Gould, M. Porcelli and Ph. L. Toint,
Updating the regularization parameter in the adaptive cubic regularization algorithm,
Computational Optimization and Applications, vol. 53(1), pp. 1-22, 2012.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization,
SIAM Journal on Optimization, vol. 22(1), pp. 66-86, 2012.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Complexity bounds for second-order optimality in unconstrained optimization,
Journal of Complexity, vol. 28, pp. 93-108, 2012.
( text, abstract )

C. Cirillo, E. Cornélis and Ph. L. Toint,
A model of weekly labor participation for a Belgian synthetic population,
Networks and Spatial Economics, vol. 12(1), pp. 59-73, 2012.
( text, abstract )

2011

S. Gratton, Ph. L. Toint and J. Tshimanga Ilunga,
Range-space variants and inexact matrix-vector products in Krylov solvers for linear systems arising from inverse problems,
SIAM Journal on Matrix Analysis and Applications, vol. 32(3), pp. 969-986, 2011.
( text, abstract )

C. Cartis, N. Gould and Ph. L. Toint,
Adaptive cubic overestimation methods for unconstrained optimization. Part II: worst-case function-evaluation complexity,
Mathematical Programming A, vol. 130(2), pp. 295-319, 2011.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming,
SIAM Journal on Optimization, vol. 21(4), pp. 1721-1739, 2011.
( text, abstract )

B. Fares, S. Gratton and Ph. L. Toint,
Fast regularized linear sampling for inverse scattering problems,
Numerical Linear Algebra and Applications, vol. 18(1), pp. 55-68, 2011.
( text, abstract )

S. Gratton, M. Mouffe and Ph. L. Toint,
Stopping rules and backward error analysis for bound-constrained optimization,
Numerische Mathematik, vol. 119(1), pp. 163-187, 2011.
( text, abstract )

S. Gratton, Ph. L. Toint and A. Troeltzch
An active-set trust-region method for derivative-free nonlinear bound-constrained optimization,
Optimization Methods and Software, vol. 21(4-5), pp. 873-894, 2011.
( text, abstract )

V. Malmedy and Ph. L. Toint,
Approximating Hessians in Multilevel Unconstrained Optimization,
Computational Optimization and Applications, vol. 50(1), pp. 1-22,, 2011.
( text, abstract )

C. Cartis, N. Gould and Ph. L. Toint,
Adaptive cubic overestimation methods for unconstrained optimization. Part I: motivation, convergence and numerical results,
Mathematical Programming A, vol. 127(2), pp. 245-295, 2011.
( text, abstract )

2010

N. Gould and Ph. L. Toint,
Nonlinear programming without a penalty function or a filter,
Mathematical Programming, vol. 122(1), pp. 155-196, 2010.
See also N. Gould, D. P. Robinson and Ph. L. Toint,
Corrigendum: Nonlinear programming without a penalty function or a filter,
NAXYS Technical Report naXys-07-2011, Namur Center for Complex Systems (NAXYS), 2011.
( text, abstract )

K. Scheinberg and Ph. L. Toint,
Self-correcting geometry in model-based algorithms for derivative-free unconstrained optimization,
SIAM Journal on Optimization, vol 20(6), pp. 3512-3532, 2010.
( text, abstract )

F. Bastin, C. Cirillo and Ph. L. Toint,
Estimating non-parametric random utility models, with an application to the value of time in heterogeneous populations,
Transportation Science, vol. 44(4), pp. 537-549, 2010.
( text, abstract )

J. Barthélemy, E. Cornélis, B. Jourquin, J. Piotte and Ph. L. Toint,
Towards microsimulation of passenger and freight transport competition: Advances in synthetic population generation and simulation of the behaviour of freight actors,
in Proceedings WCTR 2010 (electronic version), 2010.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
On the complexity of steepest descent, Newton's and regularized Newton's methods for nonconvex unconstrained optimization,
SIAM Journal on Optimization, vol. 20(6), pp. 2833--2852, 2010.
( text, abstract )

S. Gratton, M. Mouffe, A. Sartenaer, Ph. L. Toint and D. Tomanos,
Numerical Experience with a Recursive Trust-Region Method for Multilevel Nonlinear Optimization,
Optimization Methods and Software, vol. 25(3), pp. 359-386, 2010.
( text, abstract )

F. Bastin, V. Malmedy, M. Mouffe, Ph. L. Toint, D. Tomanos,
A Retrospective Trust-Region Method for Unconstrained Optimization,
Mathematical Programming, vol. 123(2), pp. 395-418, 2010.
( text, abstract )

F. Bastin, C. Cirillo and Ph. L. Toint,
Formulation and solution strategies for nonparametric nonlinear stochastic programs, with an application in finance.,
Optimization, vol. 59(3), pp. 355-376, 2010.
( text, abstract )

Ph. L. Toint,
Book review: "Optimization Theory and Methods" by Sun and Yuan,
Optimization Methods and Software, vol. 25(2), pp. 333-334, 2010

S. Bellavia, C. Cartis, N. I. M. Gould, B. Morini and Ph. L. Toint,
Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares,
SIAM Journal on Numerical Analysis, vol. 48(1), pp. 1-29, 2010.
( text, abstract )

S. Gratton, Ph. L. Toint,
Approximate Invariant Subspaces and Quasi-Newton Optimization Methods,
Optimization Methods and Software, vol. 25(4), pp. 507-529, 2010.
( text, abstract )

2009

B. Fares, S. Gratton and Ph. L. Toint,
SVD-tail: a new linear-sampling reconstruction method for inverse scattering problems,
Inverse Problems, vol. 25(9), pp. 095013.1-19, 2009.
( text, abstract )

Ph. L. Toint and D. Tomanos,
Optimisation numérique appliquée, Le design des lentilles progressives,
Tangente, vol. 126, pp. 48-50, 2009.
( text )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Trust-region and other regularisations of linear least-squares problems,
BIT, vol. 49(1), pp. 21-53, 2009.
( text, abstract )

Ph. L. Toint, D. Tomanos and M. Weber-Mendonca
A multilevel algorithm for solving the trust-region subproblem,
Optimization Methods and Software, vol. 24(2), pp. 299-311, 2009.
( text, abstract )

S. Kim, M. Kojima and Ph. L. Toint,
Recognizing Underlying Sparsity in Optimization,
Mathematical Programming, vol. 119(2), pp. 273-303, 2009.
( text, abstract )

2008

S. Gratton, M. Mouffe, Ph. L. Toint and M. Weber-Mendonca,
A recursive trust-region method in infinity norm for bound-constrained nonlinear optimization,
IMA Journal of Numerical Analysis, vol. 28(4), pp. 827-861, 2008.
( text, abstract )

S. Gratton, A. Sartenaer and Ph. L. Toint,
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization,
SIAM Journal on Optimization, vol.19(1), pp. 414-444, 2008.
( text, abstract )

2007

C. Sainvitu and Ph. L. Toint,
A filter-trust-region method for simple-bound constrained optimization,
Optimization Methods and Software, vol. 22(5), pp. 835-848, 2007.
( text, abstract )

N. I. M. Gould and Ph. L. Toint,
FILTRANE, a Fortran 95 Filter-Trust-Region Package for Solving Nonlinear Feasibility Problems,
Transactions of the ACM on Mathematical Software, vol. 33(1), pp. 3-25, 2007.
( text, abstract )

R. Fletcher, S. Leyffer and Ph. L. Toint,
A Brief History of Filter Methods,
SIAG/OPT Views-and-News, vol. 18(1), pp. 2-12, 2007.
( text, abstract )

2006

S. Gratton, A. Sartenaer and Ph. L. Toint,
Second-order convergence properties of trust-region methods using incomplete curvature information, with an application to multigrid optimization ,
Journal of Computational and Applied Mathematics, vol. 24(6), pp. 676-692, 2006.
( text, abstract )

F. Bastin, C. Cirillo and Ph. L. Toint,
Convergence Theory for Nonconvex Stochastic Programming with an Application to Mixed Logit,
Mathematical Programming, Series A, vol. 108(2-3), pp. 207-234, 2006.
( text, abstract )

J.-P. Hubert and Ph. L. Toint,
From average travel time budgets to daily travel time distributions: an appraisal of two conjectures by Koebl and Helbing and some consequences,
Transportation Research Records, vol. 1985, pp. 135-143, 2006.
( text, abstract )

Ph. L. Toint,
Using Problem Structure in Derivative-free Optimization,
SIOPT Views and News, vol. 17(1), pp. 11-18, 2006.
( text, abstract )

F. Bastin, C. Cirillo and Ph. L. Toint,
Application of an Adaptive Monte-Carlo Algorithm to Mixed Logit Estimation,
Transportation Research, Series B, vol. 40(7), pp. 577-593, 2006.
( abstract )

C. Price, Ph. L. Toint,
Exploiting problem structure in pattern-search methods for unconstrained optimization,
Optimization Methods and Software, vol. 21(3), pp. 479-491, 2006.
( text, abstract )

F. Bastin, C. Cirillo and Ph. L. Toint,
An adaptive Monte-Carlo algorithm for computing mixed logit estimators,
Computational Management Science, vol. 3(1), pp. 55-80, 2006.

N. I. M. Gould, C. Sainvitu and Ph. L. Toint,
A filter-trust-region method for unconstrained optimization,
SIAM Journal on Optimization, vol. 16(2), pp. 341-357, 2006.
( text, abstract )

2005

B. Colson and Ph. L. Toint,
Optimizing Partially Separable Functions Without Derivatives ,
Optimization Methods and Software, vol. 20(4-5), pp. 493-508, 2005.
( text, abstract )

N. Gould, D. Orban, A. Sartenaer and Ph. L. Toint,
Sensitivity of trust-region algorithms on their parameters,
4OR, vol. 3(3), pp. 227-241, 2005.
( text, abstract )

N. Gould and Ph. L. Toint,
Global Convergence of a Non-monotone Trust-Region Filter Algorithm for Nonlinear Programming,
Proceedings of the 2004 Gainesville Conference on Multilevel Optimization (W. Hager, ed.), Kluwer, Dordrecht, pp. 129-154, 2005.
( text, abstract )

S. Gratton and A. Sartenaer and Ph. L. Toint,
On Recursive Multiscale Trust-Region Algorithms for Unconstrained Minimization,
in Oberwolfach Reports: Optimization and Applications, F. Jarre, C. Lemaréchal and J. Zowe, eds., 2005

N. I. M. Gould, D. Orban and Ph. L. Toint,
Numerical methods for large-scale nonlinear optimization,
Acta Numerica, vol. 14, pp. 299-361, 2005.
( text, abstract )

N. I. M. Gould, S. Leyffer and Ph. L. Toint,
A Multidimensional Filter Algorithm for Nonlinear Equations and Nonlinear Least-Squares,
SIAM Journal on Optimization, vol. 15(1), pp. 17-38, 2005.
( text, abstract )

2004

C. Cirillo, E. Cornélis, J.-P. Hubert and Ph. L. Toint,
Les enquêtes de mobilité, et après ?,
Reflets et Perspectives de la Vie Economique, vol. XLII(4), pp. 111--121, 2004.

F. Bastin, C. Cirillo and Ph. L. Toint,
An adaptive Monte-Carlo algorithm for computing mixed logit estimators,
in Proceedings of the TRISTAN V Conference 2004 (CDROM), M. Gendreau and F. Semet (eds.), TRISTAN, 2004.

N. I. M. Gould and Ph. L. Toint,
How Mature is Nonlinear Optimization?,
in Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress, (J. H. Hill and R. Moore, eds.) SIAM, Philadelphia, pp. 141-161, 2004.
( text, abstract )

Ph. L. Toint,
Mobilité et société,
in Eloge de la mobilité: le rail, la péniche et le bitume, Semaines sociales du MOC,
Couleurlivres, Bruxelles, pp. 15--25, 2004.

N. Gould, S. Leyffer and Ph. L. Toint,
Nonlinear Programming: theory and practice,
Mathematical Programming B, vol. 100(1), pp. 1-2, 2004.

N. Gould and Ph. L. Toint,
Preprocessing for quadratic programming,
Mathematical Programming B, vol. 100(1), pp. 95-132, 2004.
( text, abstract )

2003

F. Bastin, C. Cirillo and Ph. L. Toint,
Numerical experiments with AMLET, a New Monte-Carlo Algorithm for Estimating Mixed Logit Models,
in Proceedings of the International Conference on Travel Behaviour Research 2003 (CDROM), K. Axhausen (ed.), IATBR, 2003.
( text, abstract )

N. I. M. Gould, D. Orban and Ph. L. Toint,
GALAHAD - a library of thread-safe Fortran 90 packages for large-scale nonlinear optimization,
Transactions of the American Mathematical Society on Mathematical Software, 29(4), pp. 353--372, 2003.
( text, abstract )

N. Gould, D. Orban and Ph. L. Toint,
CUTEr, a Contrained and Unconstrained Testing Environment, revisited,
Transactions of the American Mathematical Society on Mathematical Software, 29(4), pp. 373-394, 2003.
( text, abstract )

N. I. M. Gould and Ph. L. Toint,
The Filter Idea and its Application to the Nonlinear Feasibility Problem,
in Proceedings of the 20th Biennal Conference Numerical Analysis, June 2003, D. F. Griffiths and G. A. Watson (eds.),
University of Dundee, Dundee, Scotland, 2003.
( text, abstract )

M. Germain, Ph. Toint, H. Tulkens et A. de Zeeuw,
Transfers to sustain dynamic core-theoretic cooperation in international stock pollutant control,
Journal of Economic Dynamics and Control, vol. 28, pp. 79-99, 2003,
(republished as Chapter 12 (pp. 251-274) in "Public goods, environmental externalities and fiscal competition" (P. Chander, J. Drèze, C. K. Lovell and J. Mintz, eds.), Springer Verlag, Heidelberg, 2006)

N. I. M. Gould and Ph. L. Toint,
Global Convergence of a Hybrid Trust-Region SQP-Filter Algorithm for General Nonlinear Programming,
in System Modeling and Optimization XX, E. Sachs and R. Tichatschke (eds.),
Kluwer, Dordrecht, pp. 23--54, 2003.
( text, abstract )

K. W. Axhausen, J. L. Madre, J. W. Polak and Ph. L. Toint,
Long-distance Travel Surveys in Europe,
in Capturing Long-Distance Travel, K. W. Axhausen, J. L. Madre, J. W. Polak and Ph. L. Toint (eds.),
Research Science Press, Baldock (UK), pp. 2-7, 2003.

K. W. Axhausen, J. L. Madre, J. W. Polak and Ph. L. Toint,
Recommendations for an European Long-Distance Travel Survey and Associated Research,
in Capturing Long-Distance Travel, K. W. Axhausen, J. L. Madre, J. W. Polak and Ph. L. Toint (eds.),
Research Science Press, Baldock (UK), pp. 298-317, 2003.

O. Lothaire and Ph. L. Toint
A Toolbox Approach to Data Correction and Imputation,
in Capturing Long-Distance Travel, K. W. Axhausen, J. L. Madre, J. W. Polak and Ph. L. Toint (eds.),
Research Science Press, Baldock (UK), pp. 244-255, 2003.

I. Reginster and Ph. L. Toint
A world-wide-web interface for travel diary analysis,
in Capturing Long-Distance Travel, K. W. Axhausen, J. L. Madre, J. W. Polak and Ph. L. Toint (eds.),
Research Science Press, Baldock (UK), pp. 278-297, 2003.

2002

R. Fletcher, N. Gould, S. Leyffer, Ph. L. Toint and A. Waechter
On the Global Convergence of Trust-Region SQP-Filter Algorithms for General Nonlinear Programming,
SIAM Journal on Optimization, vol. 13(3), pp. 635-659, 2002.
( text, abstract )

R. Fletcher, S. Leyffer and Ph. L. Toint
On the Global Convergence of a Filter-SQP Algorithm,
SIAM Journal on Optimization, vol.13(1), pp. 44-59, 2002.
( abstract )

N. I. M. Gould, D. Orban, A. Sartenaer and Ph. L. Toint,
Componentwise fast convergence in solving nonlinear equations,
Mathematical Programming B, vol. 92(3), pp. 481-508, 2002.
( text, abstract )

B. Colson and Ph. L. Toint,
A Derivative-free Algorithm for Sparse Unconstrained Optimization Problems,
In Trends in Industrial and Applied Mathematics, A. H. Siddiqi and M. Kocvara (eds),
Kluwer, Dordrecht (NL), pp. 131-147, 2002.
( text, abstract )

N. I. M. Gould and Ph. L. Toint,
Numerical methods for large-scale non-convex quadratic programming,
In Trends in Industrial and Applied Mathematics, A. H. Siddiqi and M. Kocvara (eds),
Kluwer, Dordrecht (NL), pp. 149-179, 2002.
( text, abstract )

N. I. M. Gould and Ph. L. Toint,
An iterative working-set method for large-scale non-convex quadratic programming,
Applied Numerical Mathematics, vol. 43(1-2), pp. 109-128, 2002.
( text, abstract )

2001

B. Colson and Ph. L. Toint,
Exploiting Band Structure in Unconstrained Optimization Without Derivatives,
Optimization and Engineering, vol. 2, pp. 399-412, 2001.
( text, abstract )

N. I. M. Gould, D. Orban, A. Sartenaer and Ph. L. Toint,
Superlinear convergence of primal-dual interior point algorithms for nonlinear programming,
SIAM Journal on Optimization, vol. 11(4), pp. 974--1002, 2001.
( text, abstract )

F. S. V. Bazán, and Ph. L. Toint
Error Analysis of Signal Zeros from a Related Companion Matrix Eigenvalue Problem,
Applied Mathematics Letters, vol. 14, pp. 859--866, 2001.

F. S. V. Bazán, and Ph. L. Toint
Singular Values of Predictor Matrices,
Mechanical Systems and Signal Processing, vol. 15(4), pp. 667--683, 2001.
( text, abstract )

2000

F. S. V. Bazán, and Ph. L. Toint
Conditioning Number of Infinite Hankel Matrices of Finite Rank ,
Systems and Control Letters, vol. 41(5), pp. 347--359, 2000.
( text, abstract )

Ph. Barette and Ph. L. Toint
Première enquête nationale sur la mobilité : les principaux enseignements pour la Wallonie
Revue du Conseil Economique et Social de la Région Wallonne, vol. 64, pp. 42--50, 2000.

A. R. Conn, N. Gould, D. Orban and Ph. L. Toint
A primal-dual trust-region algorithm for non-convex nonlinear programming,
Mathematical Programming, vol. 87(2), pp. 215-249, 2000.
( text, abstract )

M. Germain and Ph. Toint,
An Iterative Process for International Negotiations on Acid Rain in Northern Europe Using a General Convex Formulation,
Environmental and Resource Economics, vol. 15(3), 2000.
( text, abstract )

1999

N. Gould and Ph. L. Toint
A note on the convergence of barrier algorithms to second-order necessary points,
Mathematical Programming, vol. 85(2), pp. 433-438, 1999.
( text, abstract )

A. R. Conn, N. Gould and Ph. L. Toint,
A primal-dual algorithm for minimizing a non-convex function subject to bound and linear equality constraints
in Nonlinear Optimization and Applications 2 ,(G. Di Pillo and F. Giannessi, eds.), Kluwer Academic Publishers, pp; 15--30, 1999.
( text, abstract )

N. Gould, S. Lucidi, M. Roma et Ph. L. Toint
Solving the trust-region subproblem using the Lanczos method,
SIAM Journal on Optimization, vol.9(2), pp. 504-525, 1999.
( text, abstract )

1998

N. Gould, S. Lucidi, M. Roma and Ph. L. Toint
A Linesearch Algorithm with Memory for Unconstrained Optimization,
in High Performance Algorithms and Software in Nonlinear Optimization, (De Leone, Murli, Pardalos and Toraldo, eds.), Kluwer Academic Publishers, pp. 207-223, 1998.
( text, abstract )

M. Germain, Ph. L. Toint and H. Tulkens,
Financial transfers to ensure cooperative international optimality in stock pollutant abatement,
in "Sustainability and the Firms: Technological Change and the Changing Regulatory Environment", (S. Faucheux, J. Gowdy and I. Nicolai, eds.), Edward Elgar Publishing, Northampton, Mass. (USA), pp. 205-220, 1998.
( text, abstract )

A. R. Conn, K. Scheinberg and Ph. L. Toint
A Derivative Free Optimization Algorithm in Practice,
Proceedings of the AIAA St Louis Conference, 1998.
( text, abstract )

1997

M. Labbé and Ph. L. Toint
Recherche Opérationnelle et Transports,
Nouvelles de la Science et des Technologies, vol. 15(2/3/4), pp. 15-25, 1997.
( text, abstract )

M. Bierlaire, T. Lotan and Ph. L. Toint
On the Overspecification of Multinomial and Nested Logit Models due to Alternative Specific Constants ,
Transportation Science, vol. 31(4), pp. 363-371, 1997.
( text, abstract )

D. Burton, W. R. Pulleyblank and Ph. L. Toint,
The inverse shortest path problem with upper bounds on the shortest path costs,
in "Network Optimization", (P. Pardalos, D. Hearn and W. Hager, eds.), Springer Verlag, Lecture Notes in Economics and Mathematical Systems 450, pp. 156-171, 1997.
( text, abstract )

A. R. Conn, K. Scheinberg and Ph. L. Toint,
Recent progress in unconstrained nonlinear optimization without derivatives,
Mathematical Programming, vol. 79(3), pp. 397-415, 1997.
( text, abstract )

A. R. Conn, N. Gould and Ph. L. Toint,
On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general inequality constraints and simple bounds,
Computational Optimization and Applications, vol. 7(1), pp. 41-70, 1997.
( text, abstract )

A. R. Conn, K. Scheinberg and Ph. L. Toint,
On the convergence of derivative-free methods for unconstrained optimization
in "Approximation Theory and Optimization: Tributes to M. J. D. Powell", (A. Iserles and M. Buhmann, eds.), Cambridge University Press, pp. 83-108, 1997.
( text, abstract )

A. R. Conn, N. Gould and Ph. L. Toint,
A globally convergent Lagrangian barrier algorithm for optimization with general inequality constraints and simple bounds,
Mathematics of Computation, vol. 66, pp. 261-288, 1997.
( text, abstract )

Ph. L. Toint,
A non-monotone trust-region algorithm for nonlinear optimization subject to convex constraints,
Mathematical Programming, vol. 77(1), pp. 69-94, 1997.
( text, abstract )

A. R. Conn, N. Gould and Ph. L. Toint,
Methods for Nonlinear Constraints in Optimization Calculations,
in "The State of the Art in Numerical Analysis", I. Duff and G. A. Watson, eds., Oxford University Press, pp. 363-390, 1997.
( text, abstract )

1996

Ph. L. Toint and L. Wynter
Asymmetric Multiclass Traffic Assignment: a Coherent Formulation ,
in "Transportation and Traffic Theory", (J.-B. Lesort, ed.), Pergamon, Oxford, pp. 237-260, 1996.
( text, abstract )

A. R. Conn, N. Gould, A. Sartenaer and Ph. L. Toint,
On the Iterated-Subspace Minimization Methods for Nonlinear Optimization with a Combination of General Equality and Linear Constraints,
Proceedings on Linear and Nonlinear Conjugate Gradient-Related Methods (L. Adams and L. Nazareth, eds.), SIAM, pp. 50-78, 1996.
( text, abstract )

M. Germain, Ph. L. Toint et H. Tulkens,
Calcul économique itératif pour les négociations internationales sur les pluies acides entre la Finlande, la Russie et l'Estonie,
Annales d'Economie et de Statistiques, vol. 43, pp. 101-127, 1996.
( abstract )

M. Germain, Ph. Toint and H. Tulkens,
International negotiations on acid rains in Northern Europe: a discrete time iterative process,
in Economic Policy for the Environment and Natural Ressources: Techniques for the Management and Control of Pollution, (A. Xepapadeas, ed.), Edward Elgar Publishing, pp. 217-236, 1996.
( text, abstract )

A. R. Conn, N. Gould and Ph. L. Toint,
Numerical experiments with the LANCELOT package (Release A) for large-scale nonlinear optimization,
Mathematical Programming, vol. 73(1), pp. 73-110, 1996.
( text, abstract )

A. R. Conn, N. Gould, A. Sartenaer and Ph. L. Toint,
Convergence of an Augmented Lagrangian Algorithm for Optimization with a Combination of General Equality and Linear Constraints,
SIAM Journal on Optimization, vol. 6(2), pp. 674-703, 1996.
( text, abstract )

A. R. Conn, N. Gould, A. Sartenaer and Ph. L. Toint,
Convergence properties of minimization algorithms for convex constraints using a structured trust region,
SIAM Journal on Optimization, vol. 6(4), pp. 1059-1086, 1996.
( text, abstract )

Ph. L. Toint,
An assessment of non-monotone linesearch techniques for unconstrained optimization,
SIAM Journal on Scientific Computing, vol. 17(3), pp. 725-739, 1996.
( text, abstract )

A. R. Conn and Ph. L. Toint,
An algorithm using quadratic interpolation for unconstrained derivative free optimization,
in Nonlinear Optimization and Applications, (G. Di Pillo and F. Giannessi, eds.), Plenum, pp. 27-47, 1996.
( text, abstract )

1995

M. Bierlaire and Ph. L. Toint,
MEUSE: an origin-destination estimator that exploits structure,
Transportation Research B, vol. 29(1), pp.47-60, 1995.
( text, abstract )

I. Bongartz, A. R. Conn, N. Gould and Ph. L. Toint,
CUTE: Constrained and Unconstrained Testing Environment,
Transactions of the ACM on Mathematical Software, vol. 21(1), pp. 123-160, 1995.
( text, abstract )

1994

D. Burton and Ph. Toint,
On the use of an inverse shortest paths algorithm for recovering linearly correlated costs,
Mathematical Programming, vol. 63(1), pp. 1-22, 1994.

A. R. Conn, N. Gould and Ph. L. Toint,
A note on using alternative second-order models for the subproblems arising in barrier function methods for minimization,
Numerische Mathematik, vol. 68, pp. 17-33, 1994.
( text, abstract )

A. R. Conn, N. Gould and Ph. L. Toint,
A note on exploiting structure when using slack variables,
Mathematical Programming A, vol. 67(1), pp. 89-97, 1994.
( text, abstract )

A. R. Conn, N. Gould and Ph. L. Toint,
Improving the decomposition of partially separable functions in the context of large-scale optimization: a first approach,
in Large Scale Optimization: State of the Art, (W. W. Hager, D. W. Hearn and P. M. Pardalos, eds.), Kluwer Academic Publishers, pp. 82-94, 1994.
( text, abstract )

A. R. Conn, N. Gould and Ph. L. Toint,
Large-scale Nonlinear Constrained optimization: a Current Survey,
in Algorithms for Continuous Optimization: The State of the Art, (E. Spedicato, ed.), Kluwer Academic Publishers, NATO ASI Series C: Mathematical and Physical Sciences, vol. 434, pp. 287-332, 1994.
( text, abstract )

A. R. Conn, N. Gould, M. Lescrenier and Ph. L. Toint,
Performance of a multifrontal scheme for partially separable optimization,
in Advances in Optimization and Numerical Analysis (S. Gomez and J.-P. Hennart, eds.), Kluwer Academic Publishers, pp. 79-96, 1994.

Ph. L. Toint,
Introduction à PACSIM: un nouveau modèle dynamique et comportemental pour la simulation du trafic,
in Maîtriser la mobilité, MET/RW, vol. 3, pp. 27-38, 1994.

1993

A. R. Conn, N. Gould, A. Sartenaer and Ph. L. Toint,
Global convergence of a class of trust region algorithms for optimization using inexact projections on convex constraints,
SIAM Journal on Optimization, vol. 3(1), pp 164-221, 1993.
( text, abstract )

Ch. Sebudandi and Ph. L. Toint,
Nonlinear optimization for seismic travel time tomography,
Geophysical Journal International vol. 115, pp. 929-940, 1993.

A. R. Conn, N. Gould and Ph. L. Toint,
Large-scale nonlinear constrained optimization,
in Proceedings of the 2nd ICIAM Conference, Washington, 1991, SIAM Publications, Philadelphia, 1992.
Also in Linear Algebra for Large Scale and Real-Time Applications (M. S. Moonen, G. H. Golub and B. L. R. De Moor, eds.), Kluwer Academic Publishers, NATO ASI Series E: Applied Sciences, vol. 232, pp. 21-48, 1993.

1992

D. Burton and Ph. L. Toint,
On an instance of the inverse shortest path problem,
Mathematical Programming A, vol. 53(1), pp. 45-62, 1992.

A. R. Conn, N. Gould and Ph. L. Toint,
On the number of inner iterations per outer iteration of a globally convergent algorithm for optimization with general equality constraints and simple bounds,
in Proceedings of the 14th Biennal Numerical Analysis Conference Dundee 1991, (G. A. Watson, ed.), Longmans, pp. 49-68, 1992.

1991

M. Bierlaire, Ph. L. Toint and D. Tuyttens,
On iterative algorithms for linear least squares problems with bound constraints
Linear Algebra and Applications, vol. 143, pp. 111-143, 1991.

A. R. Conn, N. Gould and Ph. L. Toint,
A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds
SIAM Journal on Numerical Analysis, vol. 28(2), pp. 545-572, 1991.

A. R. Conn, N. Gould and Ph. L. Toint,
Convergence of quasi-Newton matrices generated by the Symmetric Rank One update,
Mathematical Programming A, vol. 50(2), pp. 177-196, 1991.

Ph. L. Toint,
La modélisation du transport,
La Recherche, vol. 235, pp. 1026-1034, 1991.

Ph. Dehoux and Ph. L. Toint,
Some Comments on Dynamic Traffic Modelling in the Presence of Advanced Driver Information Systems,
in Advanced Telematics in Road Transport (G. Argyrakos, M. Carrara, O. Cartsen, P. Davies, W. Mohlenbrink, M. Papageorgiou, T. Rothengatter and Ph. L. Toint, eds. for the Commission of the European Communities, DG XIII), Elsevier, Amsterdam, pp. 964-981, 1991.
( text, abstract )

1990

Ph. L. Toint,
Optimisation,
Encyclopédie Philosophique Universelle, Volume II: les notions philosophiques (tome II), pp. 1816sq., Presses Universitaires de France, Paris, 1990.

Ph. L. Toint and D. Tuyttens,
On large scale nonlinear network optimization,
Mathematical Programming, vol. 48(1), pp. 125-159, 1990.

Ph. L. Toint and D. Tuyttens,
LSNNO: a Fortran subroutine for solving large scale nonlinear network optimization problems,
ACM Transactions on Mathematical Software, vol. 18(3), pp. 308-328, 1992.

A. R. Conn, N. Gould and Ph. L. Toint,
An introduction to the structure of large scale nonlinear optimization problems and the LANCELOT project,
in Computing methods in applied sciences and engineering (R. Glowinski and A Lichnewsky, eds.), SIAM Publications, Philadelphia, pp. 42--51, 1990.

1988

A. R. Conn, N. Gould and Ph. L. Toint,
Global convergence of a class of trust region algorithms for optimization with simple bounds,
SIAM Journal on Numerical Analysis, vol. 25, pp. 433-460, 1988.

A. R. Conn, N. Gould and Ph. L. Toint,
Testing a class of methods for solving minimization problems with simple bounds on the variables,
Mathematics of Computation, vol. 50(182), pp. 399-430, 1988.

M. Lescrenier and Ph. L. Toint,
Large scale nonlinear optimization on the FPS164 and CRAY X-MP vector processors,
International Journal of Supercomputer Applications, vol. 2(1), pp. 66-81, 1988.

Ph. L. Toint,
Global convergence of a class of trust region methods for nonconvex minimization in Hilbert space,
IMA Journal of Numerical Analysis, vol. 8, pp. 231-252, 1988.

1987

Ph. L. Toint,
On large scale nonlinear least squares calculations
SIAM Journal on Scientific and Statistical Computing, vol. 8(3), pp. 416-435, 1987.

Ph. L. Toint,
A view of nonlinear optimization in a large number of variables,
in Simulation and Optimization of Large Systems, (A. J. Osiadacz, ed.), Oxford University Press, pp. 83-116, 1987.
Also in Actas i Seminario Internacional de Investigacion Operativa del Pais Vasco, (J. P. Vilaplana and L .F. Escudero, eds.), Servicio Editorial Universidad del Pais Vasco, Bilbao, pp. 62-126, 1987.

Ph. L. Toint,
Call for test problems in large scale nonlinear optimization,
IMANA Newsletter, vol. 12(1), pp. 48-52, 1987.
Also COAL Newsletter, vol. 16, pp. 5-10, 1987.

Ph. L. Toint,
VE10AD, a routine for large scale nonlinear least squares,
Harwell Subroutine Library, Harwell Laboratory (GB), 1987.

1986

G. H. Golub, P. E. Manneback and Ph. L. Toint,
A comparison between some direct and iterative methods for large scale geodetic least squares problems,
SIAM Journal on Scientific and Statistical Computing, 7(3), pp. 799-816, 1986.

Ch. Murigande, P. Pâquet and Ph. L. Toint,
Two new methods for solving large scale least squares in geodetic surveying computations,
Bulletin Géodésique, vol. 60, pp. 311-328, 1986.

Ph. L. Toint,
Numerical solution of large sets of algebraic nonlinear equations,
Mathematics of Computation, vol. 46(173), pp. 175-189, 1986.

Ph. L. Toint,
Global convergence of the partitioned BFGS algorithm for convex partially separable optimization,
Mathematical Programming, vol. 36(3), pp. 290-307, 1986.

Ch. Murigande, P. Pâquet and Ph. L. Toint,
Recent algorithms for solving linear least squares problems in space geodesy,
In Proceedings of the Fourth International Geodetic Symposium on Satellite Positioning, vol. 1, pp. 839-851, 1986.

1985

P. E. Manneback, Ch. Murigande and Ph. L. Toint,
A modification of an algorithm by Golub and Plemmons for large linear least squares in the context of Doppler positioning,
IMA Journal of Numerical Analysis, vol. 5, pp. 221-233, 1985.

1984

D. Goldfarb and Ph. L. Toint,
Optimal Estimation of Jacobian and Hessian Matrices That Arise in Finite Difference Calculations,
Mathematics of Computation, vol. 43(167), pp. 69-88, 1984.

A. Griewank and Ph. L. Toint,
On the existence of convex decomposition of partially separable functions,
Mathematical Programming, vol. 24, pp. 25-49, 1984.

A. Griewank and Ph. L. Toint,
Numerical experiments with partially separable optimization problems,
In Numerical Analysis : Proceedings Dundee 1983 (D. F. Griffiths, ed.), pp. 203-220, Lecture Notes in Mathematics 1066, Springer Verlag, Berlin, 1984.

1983

R. B. Schnabel and Ph. L. Toint,
Forcing Sparsity by Projecting With Respect to a Non-Diagonally Weighted Frobenius Norm,
Mathematical Programming, vol. 25(1), pp. 125-129, 1983.

Ph. L. Toint,
VE08AD, a routine for partially separable optimization with bounded variables,
Harwell Subroutine Library, A.E.R.E.(GB), 1983.

A. Griewank and Ph. L. Toint,
On the unconstrained optimization of partially separable functions,
In Nonlinear Optimization 1981 (M. J. D. Powell, ed.), Academic Press, London, pp. 119--137, 1982.

1982

A. Griewank and Ph. L. Toint,
Partitioned variable metric updates for large structured optimization problems,
Numerische Mathematik, vol. 39, pp. 119-137, 1982.

A. Griewank and Ph. L. Toint,
Local convergence Analysis for Partitioned Quasi-Newton Updates,
Numerische Mathematik, vol. 39, pp. 429-448, 1982.

1981

M. J. D. Powell and Ph. L. Toint,
The Shanno-Toint Procedure for Updating Sparse Symmetric Matrices,
I.M.A. Journal of Numerical Analysis, vol. 1, pp. 403-413, 1981.

Ph. L. Toint,
A Note on Sparsity Exploiting Quasi-Newton Methods,
Mathematical Programming, vol. 21(2), pp. 172-181, 1981.

Ph. L. Toint,
Towards an Efficient Sparsity Exploiting Newton Method for Minimization,
in Sparse Matrices and Their Uses (I. S. Duff, ed.), Academic Press, London, pp. 57--88, 1981.

Ph. L. Toint,
A Sparse Quasi-Newton Update Derived Variationally With a Non Diagonally Weighted Frobenius Norm,
Mathematics of Computation, vol. 37(156), pp. 425-433, 1981.

Ph. L. Toint,
Mathematical Programming,
in Systems modelling and optimization (P. Nash, ed.), Peregrinus, Stevenage, 1981.

1980

Ph. L. Toint,
TD03AD, a routine for estimating sparse Hessian matrices,
Harwell Subroutine Library, A.E.R.E.(GB), 1980.

Ph. L. Toint,
Sparsity Exploiting Quasi-Newton Methods for Unconstrained Optimization,
in Nonlinear Optimization: Theory and Algorithms (L. C. W. Dixon, E. Spedicato, G. P. Szego, eds.), pp, 65-90, Birkhauser, Boston, 1980.

1979

M. J. D. Powell and Ph. L. Toint,
On The Estimation of Sparse Hessian Matrices,
SIAM Journal on Numerical Analysis, vol. 16(6), pp. 1060-1074, 1979.

Ph. L. Toint,
On the Superlinear Convergence of an Algorithm for Solving a Sparse Minimization Problem,
SIAM Journal on Numerical Analysis, vol. 16, pp. 1036-1045, 1979.

1978

Ph. L. Toint,
Some Numerical Result Using a Sparse Matrix Updating Formula in Unconstrained Optimization,
Mathematics of Computation, vol. 32(143), pp. 839-851, 1978.

Ph. L. Toint and F. M. Callier,
On the accelerating property of an algorithm for function minimization without calculating derivatives,
Journal of Optimization Theory and Applications, vol. 23(4), pp. 531-547, 1977. Correction by F. M. Callier and Ph. L. Toint, same journal, vol. 26(3), pp. 465-467, 1978.

Ph. L. Toint and J. J. Strodiot,
On the rate of convergence of unconstrained optimization algorithms that use a decomposition in uniformly independent subspaces,
Annales de la Société Scientifique de Bruxelles, vol. 92(3), pp. 127-141, 1978.

1977

F. M. Callier and Ph. L. Toint,
Recent Results On The Accelerating Property of an Algorithm for Function Minimization Without Calculating Derivatives,
in Survey of Mathematical Programming (A. Prekopa, ed.), Publishing House of the Hungarian Academy of Sciences, pp. 369-376, 1977.

Ph. L. Toint,
On sparse and symmetric matrix updating subject to a linear equation,
Mathematics of Computation, vol. 31, pp. 954-961, 1977.

Ph. L. Toint,
An extension of a McCormick and Ritter's theorem on the rate of convergence of conjugate directions methods to the multistep case with inexact linesearches,
Annales de la Société Scientifique de Bruxelles, vol. 91(1), pp. 19-26, 1977.

Ph. L. Toint and F.M. Callier,
On the uniform nonsingularity of matrices of search directions and the rate of convergence in minimization algorithms,
Journal of Optimization Theory and Applications, vol. 23(4), pp. 511-529, 1977.

Technical reports

( 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997, 1996, 1995, 1994, 1993, 1992, 1991, 1990, 1989, 1988, 1987, 1983, 1981, 1979, 1976, 1975 )

2017

S. Gratton, S. Gurol, E. Simon and Ph. L. Toint,
A note on preconditioning weighted linear least-squares with consequences for weakly constrained variational data assimilation,
arXiv:1709.09031, 2017.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Worst-case evaluation complexity and optimality of second-order methods for nonconvex smooth optimization,
arXiv:1709.07180, 2017.
( text, abstract )

S. Gratton, S. Gurol, E. Simon and Ph. L. Toint,
On the use of the saddle formulation in weakly-constrained 4D-VAR data assimilation,
arXiv:1709.06383, 2017.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Optimality of orders one to three and beyond: characterization and evaluation complexity in constrained nonconvex optimization,
arXiv:1705.07285, 2017.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Improved second-order evaluation complexity for unconstrained nonlinear optimization using high-order regularized models,
arXiv:1708.04044, 2017.
( text, abstract )

X. Chen, Ph. L. Toint and H. Wang,
Partially separable convexly-constrained optimization with non-Lipschitzian singularities and its complexity,
arXiv 1704.06919, 2017.
( text, abstract )

2016

2015

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Improved worst-case evaluation complexity for potentially rank-deficient nonlinear least-Euclidean-norm problems using higher-order regularized models,
Report naXys-12-2015, Dept of Mathematics, UNamur, Namur (B), 2015.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Evaluation complexity bounds for smooth constrained nonlinear optimization using scaled KKT conditions and high-order models,
Report naXys-11-2015, Dept of Mathematics, UNamur, Namur (B), 2013.
( text, abstract )

2014

F. Curtis, N. I. M. Gould, D. Robinson and Ph. L. Toint,
An Interior-Point Trust-Funnel Algorithm for Nonlinear Optimization using a Squared-Violation Feasibility Measure,
Report RAL-TR-2014-001, Rutherford Appleton Laboratory, Chilton (UK), 2014.

2013

B. Colson, M. Porcelli and Ph. L. Toint,
Aircraft fuselage sizing with multilevel optimization,
Report naXys-07-2013, Dept of Mathematics, UNamur, Namur (B), 2013.
( text, abstract )

C. Cartis, N. I. M. Gould and Ph. L. Toint,
An example of slow convergence for Newton's method on a function with globally Lipschitz continuous Hessian,
Report naXys-03-2013, Dept of Mathematics, UNamur, Namur (B), 2013.
( text, abstract )

2012

C. Cartis, N. I. M. Gould and Ph. L. Toint,
On the complexity of the steepest-descent with exact linesearches,
Report naXys-16-2012, Dept of Mathematics, FUNDP, Namur (B), 2013.
( text, abstract )

S. Gratton, S. Gurol and Ph. L. Toint,
How much gradient noise does a gradient-based linesearch method tolerate?,
Report naXys-04-2012, Dept of Mathematics, FUNDP, Namur (B), 2012.
( text, abstract )

2011

C. Cartis, N. I. M. Gould and Ph. L. Toint,
Optimal Newton-type methods for nonconvex optimization,
Report naXys-17-2011, Dept of Mathematics, FUNDP, Namur (B), 2011.
( text, abstract )

N. I. M. Gould, D. P Robinson and Ph. L. Toint,
Corrigendum: Nonlinear programming without a penalty function or a filter,
Report naXys-07-2011, Dept of Mathematics, FUNDP, Namur (B), 2011.
( text, abstract )

2010

M. Kaiser, K. Klamroth, A. Thekale and Ph. L. Toint,
Solving structured nonlinear least-squares and nonlinear feasibility problems with expensive functions,
Report naXys-07-2010, Dept of Mathematics, FUNDP, Namur (B), 2010.
( text, abstract )

2007

N. I. M. Gould, D. Orban, Ph. L. Toint,
LANCELOT_simple, a simple interface to LANCELOT B,
Report 07/12, Dept of Mathematics, FUNDP, Namur (B), 2007.
( text, abstract )

2006

F. Bastin, C. Cirillo and Ph. L. Toint,
Estimating Mixed Logit with Non-parametric Random Variables,
Report 06/05, Dept of Mathematics, FUNDP, Namur (B), 2006.
( text, abstract )

S. Gratton, A. Sartenaer and Ph. L. Toint,
Numerical Experience with a Recursive Trust-Region Method for Multilevel Nonlinear Optimization,
Report 06/01, Dept of Mathematics, FUNDP, Namur (B), 2006.
( text, abstract )

2005

2004

F. Bastin, C. Cirillo and Ph. L. Toint,
Estimating mixed logit models with quasi-Monte-Carlo sequences allowing practical error estimation,
Report 04/11, Dept of Mathematics, FUNDP, Namur (B), 2004.
( text, abstract )

2003

Ph. L. Toint,
Quelques éléments méthodologiques sur les enquêtes de mobilité,
Report 03/21, Dept of Mathematics, FUNDP, Namur (B), 2003.
( text, abstract )

Ph. L. Toint,
Some Generic Comments on the State of the Art in the Design of Mathematical Information Carriers,
Report 03/16, Dept of Mathematics, FUNDP, Namur (B), 2003.
( text, abstract )

C. Cirillo, E. Cornélis, L. Legrain and Ph. L. Toint,
Combining Spatial and Temporal Dimensions in Destination Choice Models,
Report 03/13, Dept of Mathematics, FUNDP, Namur (B), 2003.
( text, abstract )

2002

C. Cirillo and Ph. L. Toint,
One Activity-based Framework for Europe?,
Report 02/11, Dept of Mathematics, FUNDP, Namur (B), 2002.

N. I. M. Gould, D. Orban and Ph. L. Toint,
Results from a numerical evaluation of LANCELOT B,
Report 02/09, Dept of Mathematics, FUNDP, Namur (B), 2002.
( text, abstract )

2001

N. Gould and Ph. L. Toint,
A Quadratic Programming Bibliography,
Report 01/02, Dept of Mathematics, FUNDP, Namur (B), 1999.
( text, abstract )

2000

B. Masquilier and Ph. L. Toint,
Analyse mathématique des aménagements routiers prévus dans le nouveau plan de circulation de la ville de Namur,
Report 00/14, Dept of Mathematics, FUNDP, Namur (B), 2000.

Ph. Barette, A. Dessy and Ph. L. Toint,
Une première analyse des résultats de l'enquête nationale sur la mobilité des ménages pour la Wallonie,
Report 00/11, Dept of Mathematics, FUNDP Namur (B), 2000.

Ph. Barette, A. Dessy and Ph. L. Toint,
Une première analyse des résultats de l'enquête nationale sur la mobilité des ménages pour Bruxelles,
Report 00/12, Dept of Mathematics, FUNDP Namur (B), 2000.

1999

N. Gould and Ph. L. Toint
SQP Methods for Large-Scale Nonlinear Programming,
Report 99/05, Dept of Mathematics, FUNDP, Namur (B), 1999.
( text, abstract )

1998

R. Fletcher, S. Leyffer and Ph. L. Toint
On the Global Convergence of and SLP-Filter Algorithm,
Report 98/13, Dept of Mathematics, FUNDP, Namur (B), 1998.
( text, abstract )

M. Germain, Ph. L. Toint, H. Tulkens and A. de Zeeuw
Transfers to Ensure Cooperation in International Stock Pollutant Control,
Report 98/08, Dept of Mathematics, FUNDP, Namur (B), 1998.

A. Barbieri, Ph. Barette, C. Durand, E. Heylen, M. Mouchart, S. Saelens, Ph. Toint and P. Vansevenant
Pilot-Study for a National Travel Survey in Belgium,
Report 98/02, Dept of Mathematics, FUNDP, Namur (B), 1998.
( text, abstract )

E. Cornélis, B. Masquilier and Ph. L. Toint
Simulation of Exhaust Gas Pollution within an Event-Driven Multimodal Dynamic Traffic Model,
Report 98/01, Dept of Mathematics, FUNDP, Namur (B), 1998.
( text, abstract )

1997

N. Gould, S. Lucidi, M. Roma and Ph. L. Toint
Exploiting Negative Curvature Directions in Linesearch Methods for Unconstrained Optimization,
Report 97/18, Dept of Mathematics, FUNDP, Namur (B), 1997.
( text, abstract )

F. S. V. Bazán, Ph. L. Toint and M. Zambaldi
A Conjugate Gradients Based Method for Harmonic Retrieval Problems That Does not Use Explicit Signal Subspace Computation,
Report 97/16, Dept of Mathematics, FUNDP, Namur (B), 1997.
( text, abstract )

I. Bongartz, A. R. Conn, N. Gould, M. Saunders and Ph. L. Toint
A numerical comparison between the LANCELOT and MINOS packages for large-scale nonlinear optimization,
Report 97/13, Dept of Mathematics, FUNDP, Namur (B), 1997.
( text, abstract )

I. Bongartz, A. R. Conn, N. Gould, M. Saunders and Ph. L. Toint
A numerical comparison between the LANCELOT and MINOS packages for large-scale nonlinear optimization: the complete results,
Report 97/14, Dept of Mathematics, FUNDP, Namur (B), 1997.
( text, abstract )

E. Cornélis and Ph. L. Toint
An introduction to PACSIM, a new dynamic behavioural model for traffic assignment,
Report 97/8, Dept of Mathematics, FUNDP, Namur (B), 1997.
( text, abstract )

1996

E. Cornélis, M. De Vleeschouwer, Ph. L. Toint and Baoshan Wang,
ATES: another traffic equilibrium software (manuel d'utilisation)
Report 96/13, Dept of Mathematics, FUNDP Namur (B), 1996.

M. Germain, Ph. L. Toint and H. Tulkens,
Transferts financiers et optimum coopératif international en matière de pollutions stocks,
Report 96/7, Dept of Mathematics, FUNDP, Namur (B), 1996.
( abstract )

1995

Ph. L. Toint,
Panorama sur les besoins de la Région Wallone en formation et recherche/développement dans le domaine des transports,
Report 95/10, Dept of Mathematics, FUNDP, Namur (B), 1995.
( text, abstract )

1994

Ph. L. Toint,
An assessment of non-monotone linesearch techniques for unconstrained optimization: the complete numerical results,
Report 94/15, Dept of Mathematics, FUNDP, Namur (B), 1994.
( text, abstract )

Ph. L. Toint,
A non-monotone trust-region algorithm for nonlinear optimization subject to convex constraints: the complete numerical results,
Report 94/26, Dept of Mathematics, FUNDP, Namur (B), 1994.
( text, abstract )

A. R. Conn and Ph. L. Toint,
A Comparison for Small-Scale Nonlinear Optimization Software (CSSNOS): Preliminary Project Outline
Report 94/4, Dept of Mathematics, FUNDP, Namur (B), 1994.
( text, abstract )

1993

A. R. Conn, N. Gould, A. Sartenaer and Ph. L. Toint,
Global Convergence of an Augmented Lagrangian Algorithm for Optimization with a Combination of General Equality and Linear Constraints,
Report 93/01, Dept of Mathematics, FUNDP, Namur (B), 1993.
( text, abstract )

A. R. Conn, N. Gould, A. Sartenaer and Ph. L. Toint,
Local Convergence of an Augmented Lagrangian Algorithm for Optimization with a Combination of General Equality and Linear Constraints,
Report 93/20, Dept of Mathematics, FUNDP, Namur (B), 1993.
( text, abstract )

1992

A. R. Conn, N. Gould and Ph. L. Toint,
Announcement for the Release A of LANCELOT, a package for large-scale nonlinear optimization,
Report 92/4, Dept of Mathematics, FUNDP, Namur (B), 1992.

A. R. Conn, N. Gould and Ph. L. Toint,
Intensive numerical tests with LANCELOT (Release A): the complete results,
Report 92/15, Dept of Mathematics, FUNDP, Namur (B), 1992.
( text, abstract )

Ph. L. Toint,
Transportation modelling methods and advanced transport telematics (ATT),
Report 92/24, Dept of Mathematics, FUNDP, Namur (B), 1992.
( text, abstract )

1991

A. R. Conn, N. Gould and Ph. L. Toint,
An introduction the the Standard Data Input Format (SDIF) for nonlinear mathematical programming problems,
Report 91/8, Dept of Mathematics, FUNDP, Namur (B), 1991.

A. R. Conn, N. Gould and Ph. L. Toint,
A comprehensive description of LANCELOT,
Report 91/10, Dept of Mathematics, FUNDP, Namur (B), 1991.

1990

M. Bierlaire and Ph. L. Toint,
Une approche de l'importance relative des parkings au centre de Namur,
Report 90/1, GEC, Dept of Mathematics, FUNDP, Namur (B), 1990.

M. Bierlaire and Ph. L. Toint,
La circulation à Namur: projets d'aménagement,
Report 90/14, Dept. of Mathematics, FUNDP, Namur (B), 1990.

Ph. Dehoux and Ph. L. Toint,
PACSIM Implementation: Technical Documentation,
Report 91/05, Dept of Mathematics, FUNDP, Namur (B), 1990.

Ph. Dehoux, P. Manneback and Ph. L. Toint,
PACSIM: a dynamical traffic assignment model. II: functional analysis,
DRIVE-IMAURO Project, Transportation Research Group, Dept of Mathematics, FUNDP, Namur (B), 1990.

1989

M. Dayde, M. Lescrenier and Ph. L. Toint,
A comparison between Straeter's parallel variable metric algorithm and parallel discrete Newton's methods,
Report 89/16, Dept of Mathematics, FUNDP, Namur (B), 1989.

P.Manneback and Ph. L. Toint,
PACSIM, prototype definition of the algorithms for route assignment,
Rapport 89/10, GEC, Dépt of Mathematics, 1989.

1988

E. Cornélis et Ph. Toint,
Hypothèses de circulation pour le Grognon,
Report 88/2, GEC, Dept of Mathematics, FUNDP, Namur (B), 1988.

E. Cornélis et Ph. Toint,
Hypothèses de circulation pour le Pont des Ardennes,
Report 88/8, GEC, Dept of Mathematics, FUNDP, Namur (B), 1988.

E. Cornélis et Ph. Toint,
La circulation autour du pont de Wandre: étude préliminaire,
Report 89/3, GEC, Dept of Mathematics, FUNDP, Namur (B), 1988.

J.Ch. Jacquemin, J.P. Knaepen, Ph. Toint,
Etude d'impact de la liaison A25-A26,
Report 88/10, Dept of Mathematics, FUNDP, Namur (B), 1988.

1987

E. Cornélis, B. Lebrun et Ph. Toint,
Implémentation d'un algorithme de modélisation du trafic en transports publics,
Report 87/11, GEC, Dept of Mathematics, FUNDP, Namur (B), 1987.

E. Cornélis, S. Thiry et Ph. Toint,
Etude de la liaison A25-A26,
Report 87/17, GEC, Dept of Mathematics, FUNDP, Namur (B), 1987.

Ph. L. Toint and D. Tuyttens,
Partially separable nonlinear network optimization,
Report 86/2, Dept of Mathematics, FUNDP, Namur (B), 1986.

1983

Ph. L. Toint,
Test problems for partially separable optimization and results for the routine PSPMIN,
Technical Report 83/4, Dept. of Mathematics, FUNDP, Namur (B), 1983.
( text )

Ph. L. Toint,
User's Guide to the Routine PSPMIN for Solving Partially Separable Bounded Optimization Problems,
Report 83/1, Dept of Mathematics, FUNDP, Namur (B), 1983.

Ph. L. Toint,
An introduction to quasi-Newton methods for large scale unconstrained nonlinear programming,
Report 83/9, Dept of Mathematics, FUNDP, Namur (B), 1983.

Ph. L. Toint,
Mathematical Programming: an overview,
Report 83/3, Dept of Mathematics, FUNDP, Namur (B), 1983.

1981

Ph. L. Toint,
Estimation of sparse Hessian matrices: a block substitution procedure and its application to the multi-diagonal case,
Report 81/10, Dept. of Mathematics, FUNDP, Namur (B), 1981.

Ph. L. Toint,
Convergence properties of a class of minimization algorithms that use a possibly unbounded sequence of quadratic approximations,
Report 81/1, Dept. of Mathematics, FUNDP, Namur (B), 1981.

1979

Ph. L. Toint, C. Duchâteau and D. Standaert,
Rapports sur l'utilisation du modèle de circulation,
unnumbered report, Dept of Mathematics, FUNDP, Namur (B), 1979.

1976

J. Henrard, Ph. Toint, D. Standaert and H. Claes,
L'utilisation courante du système SIEMENS 4004-151,
Report 76/4, Dept of Mathematics, FUNDP, Namur (B), 1976.

J.-J. Strodiot and Ph. L. Toint,
An algorithm for finding the minimum essential arc set of a directed graph and its application in solving nonlinear systems of equations,
Report 76/5, Dept of Mathematics, FUNDP, Namur (B), 1976.

Ph. L. Toint and J.-J. Strodiot,
An algorithm for unconstrained minimization of large scale problems by decomposition in subspaces,
Report 76/1, Dept of Mathematics, FUNDP, Namur (B), 1976.

1975

F.M. Callier and Ph. L. Toint,
On Quadratic Function Minimization: The n-step Termination Property Can Imply The Conjugateness of Search Directions,
Report 75/1, Dept. of Mathematics, FUNDP, Namur (B), 1975.

Ch. Duchâteau and Ph. L. Toint,
Namur 0, un modèle de circulation pour l'agglomération namuroise (Rapport public),
Report 75/8, Dept of Mathematics, FUNDP, Namur (B), 1975.

Ch. Duchâteau and Ph. L. Toint, Namur 0, un modèle de circulation pour l'agglomération namuroise (Rapport scientifique),
Report 75/8, Dept of Mathematics, FUNDP, Namur (B), 1975.

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