Publications
- Dussault,
Jean-Pierre and Hamelin, Benoit, Implementation of High order Newton Algorithms
(2004).
- Dussault,
Jean-Pierre, High order Newton-penalty algorithms
(2003).
- Dussault, Jean-Pierre and Hamelin, Benoit, Robust
descent in differentiable optimization using automatic finite differences
Technical report #301, Département de Mathématiques et d'Informatique,
Faculté des Sciences, Université de Sherbrooke (2003).
- Dussault, J.-P., Improved convergence order
for augmented penalty algorithms, (2003)
- Dussault, J.-P., Augmented non-quadratic
penalty algorithms,(2003)
- Elafia, A., Benchakroun, A., Dussault, J.-P.,Asymptotic analysis of the trajectories of the logarithmic
barrier algorithm without differentiable objective function (2003)
- Elafia, A., Benchakroun, A., Dussault, J.-P., Asymptotic analysis of the trajectories of the logarithmic
barrier algorithm without constraint qualifications(2003)
- Dussault, J.-P., Guèye, O. M., Mahey, P. Separable Augmented Lagrangian Algorithm with Multidimensional
scaling for monotropic programming(2003)
- Dussault, J.-P., Guèye, O. M., Mahey, P. Numerical behavior
of Separable Augmented Lagrangian Algorithm with Multidimensional scaling
on the convex multicommodity flow problems(2003)
- Dussault, J.-P., Convergence of implementable
descent algorithms for unconstrained optimization, J.O.T.A.104(3):
739-745; Mar 2000.
- Dussault, J.-P., Elafia, A., On the convergence
rate of the logarithmic barrier algorithm, Computational Optimization
And Applications, Vol 19 No1, April 2001, pp 31-54.
- Egli, R., Dussault, J.-P., Technique butterfly généralisée,
CORESA 2001, Dijon.
- Mahey, Ph., Dussault, J.-P., Hamdi, A, Adaptative scaling and
convergence rates of a separable augmented Lagrangian algorithm in
Optimization, Nguyen, Strodiot, Tossings, Editors, Lecture Notes in Economics
and Mathematical systems, vol 481 (2000), pp 278-287.
- Dussault, J.-P., Hai Shen, Bandrauk, A. Penalty
methods in Hilbert spaces.
- Dussault, J.-P., Analysis of line rasterization
with applications to polygon filling and Gouraud shaded Z-buffer.
- Dussault, J.-P., Analyse de trajectoires pour
l'algorithme de barrière logarithmique.
- Dussault, J.-P., Pfister, Nicolas, Modelization
of flexible objects using constained optimization and B-spline surfaces
dans les comptes-rendus des ateliers sur les fonctions splines et ondelettes,
Centre de recherche mathématique, Université de Montréal
(janvier 1996).
- Benchakroun, A., Dussault, J.-P., Mansouri, A., Un algorithme de
point intérieur pour un problème de programmation nonlinéaire,
INFOR35(3), août 1997.
- Dussault, J.-P., Labrecque,D., L'Ecuyer, P., Rubinstein, R.Y. Combining
the Stochastic Counterpart and Stochastic Approximation Methods, Discrete
Event Dynamic Systems: Theory and Applications.
- Dussault, J.-P., Augmented penalty algorithms,
IMA Journal on Numerical Analysis, 18 1998.
- Hamdi, A, Mahey, Ph., Dussault, J.-P., A new decomposition method
in nonconvex programming via separable augmented Lagrangians, in Recent
advances in Optimization, Gritzmann, Horst, Sachs and Tichatschke, Editors,
Lecture Notes in Economics and Mathematical systems, vol 452 (1997),
pp 90-104.
- Dussault, J.-P., Numerical stability and
efficiency of penalty algorithms, S.I.A.M. Journal on Numerical
AnalysisVol. 32, No. 1, pp 296--317 , Fev. 1995.
- Benchakroun, A., Dussault, J.-P., Mansouri, A., A two-parameter
mixed interior-exterior penalty algorithm, Z.O.R. Vol. 41 No.
1, 1995, pp 25 --55.
- Dussault, J.-P., Gningue, Y., Unification of basic and composite
nondifferentiable optimization, Math. Prog 70 (1995) 233-249.
- Cominetti, R., Dussault, J.-P., A stable exponential
penalty algorithm with superlinear convergence, J.O.T.A.Vol.
83 No. 2, Nov. 1994.
- Hai Shen, Dussault, J.-P.& Bandrauk, A. Optimal Pulse Shaping
for Coherent Control by the Penalty Algorithm Chem. Phys. Lett (1994).
- Benchakroun, A., Dussault, J.-P., Mansouri, A., Pénalités
mixtes: un algorithme superlinéairement convergent en deux étapes,
R.A.I.R.O. recherche opérationnelle Vol 27 No 4, Déc.
1993.
- Dussault, J.-P., Fournier, G., On the convergence of the projected
gradient method, J.O.T.A., Vol. 77 No. 1, avril 1993.
- Dussault. J.-P., Contraintes actives dans les inéquations
variationnelles,Revista latino-ibero-americana de investigaciòn
operativa Vol 3 No 2-3 Août-Déc 1993.
- Dussault, J.-P., Marcotte, P., A Sequential linear programming algorithmfor
solving monotone Variational Inequalites, S.I.A.M. Journal on Control
& Optimization, Vol. 27, Nov. 1989.
- Dussault, J.-P., Marcotte, P., Conditions de régularité
pour les inéquations variationnelles, R.A.I.R.O. recherche opérationnelle,
Janvier 1989.
- Dussault, J.-P., Marcotte, P., A note on a globally convergent Newton
method for solving monotone variational inequalities, O.R. Letters,
Vol. 6, No. 1, march 1987 pp 35-42.
- Dussault, J.-P., Ferland, J., Lemaire, B., Convex Quadratic Programming
with one Constraint and Bounded Variables, Math. Prog., 1986.
- Withold Brostow, Jean-Pierre Dussault,
and Bennett L. Fox. Construction of Voronoi Polyhedra. Journal of Computational
Physics, 29:81--92, 1978.
Notes de cours
Acétates de conférences