Recent reports:
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L. N. Vicente and A. L. Custódio,
Analysis of direct searches for non-Lipschitzian functions,
preprint 09-38, Dept. of Mathematics, Univ. Coimbra
PDF
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Le Thi Hoai An, A. I. F. Vaz, and L. N. Vicente,
Optimizing radial basis functions by D.C. programming and
its use in direct search for global derivative-free optimization,
preprint 09-37, Dept. of Mathematics, Univ. Coimbra
PDF
- A. M. Monteiro, R. H. Tütüncü, and L. N. Vicente,
Estimation of Risk-Neutral Density Surfaces,
preprint 08-52, Dept. of Mathematics, Univ. Coimbra
PDF
- J. M. Fernandes, A. I. F. Vaz, and L. N. Vicente,
Modelling nearby FGK Population I stars:
A new form of estimating stellar parameters using an
optimization approach,
preprint 08-50, Dept. of Mathematics, Univ. Coimbra
PDF
- R. Silva, M. Ulbrich, S. Ulbrich, and L. N. Vicente,
A globally convergent primal-dual interior-point filter
method for nonlinear programming: new filter optimality
measures and computational results,
preprint 08-49, Dept. of Mathematics, Univ. Coimbra
PDF
Papers published (the pdf files do not necessarily correspond to the versions published):
- A. L. Custódio, H. Rocha, and L. N. Vicente,
Incorporating minimum Frobenius norm models in direct search,
to appear in Computational Optimization and Applications
PDF
The data profiles for the solvers NMSMAX and SID-PSM
on the stochastic noisy test problems are slightly different
from the true ones. Those corrected profiles can be found
here (tau=10^-3
and
tau=10^-7)
and do not affect any of the conclusions of the paper.
- A. I. F. Vaz and L. N. Vicente,
PSwarm: A hybrid solver for linearly constrained global
derivative-free optimization,
Optimization Methods and Software, 24 (2009) 669-685
PDF
- L. N. Vicente,
Implicitly and densely discrete black-box optimization problems,
Optimization Letters, 3 (2009) 475-482
PDF
- A. R. Conn, K. Scheinberg, and L. N. Vicente,
Global convergence of general
derivative-free trust-region algorithms to first and second order
critical points, SIAM Journal on Optimization, 20 (2009) 387-415
PDF
- A. R. Conn, K. Scheinberg, and L. N. Vicente,
Geometry of sample sets in derivative-free optimization:
Polynomial regression and underdetermined interpolation,
IMA Journal of Numerical Analysis, 28 (2008) 721-748
PDF
- A. L. Custódio, J. E. Dennis Jr., and L. N. Vicente,
Using simplex gradients of nonsmooth functions in direct search methods,
IMA Journal of Numerical Analysis, 28 (2008) 770-784
PDF
- R. Silva, J. Soares, and L. N. Vicente,
Local analysis of the feasible primal-dual
interior-point method,
Computational Optimization and Applications, 40 (2008) 41-57.
PDF
- A. M. Monteiro, R. H. Tütüncü, and L. N. Vicente,
Recovering risk-neutral probability density functions from
options prices using cubic splines and ensuring nonnegativity,
European Journal of Operational Research, 187 (2008) 525-542.
PDF
- A. R. Conn, K. Scheinberg, and L. N. Vicente,
Geometry of interpolation sets in derivative free optimization,
Mathematical Programming, 111 (2008) 141-172
PDF
- A. I. F. Vaz and L. N. Vicente,
A particle swarm pattern search method for bound
constrained global optimization,
Journal of Global Optimization, 39 (2007) 197-219
PDF
- A. L. Custódio and L. N. Vicente,
Using sampling and simplex derivatives in pattern search methods,
SIAM Journal on Optimization, 18 (2007) 537-555
PDF
- J. Fliege and L. N. Vicente,
Multicriteria approach to bilevel optimization,
Journal of Optimization Theory and Applications, 131 (2006) 209-225
PDF
- M. Hintermüller and L. N. Vicente,
Space mapping for optimal control of partial differential equations,
SIAM Journal on Optimization, 15 (2005) 1002-1025
PDF
- P. Alberto, F. Nogueira, H. Rocha, and L. N. Vicente,
Pattern search methods for user-provided points:
Application to molecular geometry problems,
SIAM Journal on Optimization, 14 (2004) 1216-1236
PDF
- M. Ulbrich, S. Ulbrich, and L. N. Vicente,
A globally convergent primal-dual interior-point filter method
for nonlinear programming, Mathematical
Programming, 100 (2004) 379-410
PDF
- C. Audet, J. E. Dennis, and L. N. Vicente,
Editorial,
Special Issue on Optimization and Engineering,
Optimization and Engineering, 5 (2004) 99-100
PDF
- L. N. Vicente,
Space mapping: models, sensitivities, and trust-regions methods,
Optimization and Engineering, 4 (2003) 159-175
PDF
- C. P. Avelino and L. N. Vicente,
Updating the multipliers associated with inequality constraints
in an augmented Lagrangian multiplier method,
Journal of Optimization Theory and Applications, 119 (2003) 215-233
PDF
- E. M. E. Mostafa, L. N. Vicente, and S. J. Wright,
Numerical behavior of a stabilized SQP method for degenerate NLP
problems,
Lecture Notes in Computer Science,
Global Optimization and Constraint Satisfaction,
ed. by C. Bliek, C. Jermann, and A. Neumaier,
vol. 2861, pp. 123-141,
Springer-Verlag, Berlin, 2003
PDF
- L. N. Vicente and S. J. Wright,
Local convergence of a primal-dual method for degenerate nonlinear programming,
Computational Optimization and Applications, 22 (2002) 311-328
PDF
- L. N. Vicente,
Local analysis of a new multipliers method,
European Journal of Operational Research, 143 (2002) 432-451
(Feature Issue: Interior Point Methods)
PDF
- M. Heinkenschloss and L. N. Vicente,
Analysis of inexact trust-region SQP algorithms,
SIAM Journal on Optimization, 12 (2001) 283-302
PDF
- P. Alberto, F. Nogueira, H. Rocha, and L. N. Vicente,
Pattern search methods for user-provided points,
Lecture Notes in Computer Science,
Computacional Science - ICCS 2001,
ed. by V. N. Alexandrov et al,
vol. 2074, pp. 95-98, Springer-Verlag, Berlin, 2001
PDF
- L. N. Vicente,
Bilevel programming: Introduction, history and overview,
Encyclopedia of Optimization, ed. by C. A. Floudas and P. M. Pardalos,
vol. 1, pp. 178-180, Kluwer Academic Publishers, Dordrecht, 2001
PDF
- L. N. Vicente,
Local convergence of the affine-scaling interior-point algorithm for
nonlinear programming,
Computational Optimization and Applications, 17 (2000) 23-35
PDF
- A. R. Conn, L. N. Vicente, and C. Visweswariah,
Two-step algorithms for nonlinear optimization with
structured applications,
SIAM Journal on Optimization, 9 (1999) 924-947
PDF
- M. Heinkenschloss and L. N. Vicente,
An interface between optimization and application
for the numerical solution of optimal control problems,
ACM Transactions on Mathematical Software, 25 (1999) 157-190
PDF
- D. A. Andrews and L. N. Vicente,
Characterization of the smoothness and curvature of a marginal function for
a trust-region problem,
Mathematical Programming, 84 (1999) 123-135
PDF
- L. N. Vicente,
An analysis of Newton's method for equivalent
Karush-Kuhn-Tucker systems,
Investigación Operativa, 7 (1999) 17-28
PDF
- J. E. Dennis, M. Heinkenschloss, and L. N. Vicente,
Trust-region interior-point SQP algorithms for a class of
nonlinear programming problems,
SIAM Journal on Control and Optimization, 36 (1998) 1750-1794
PDF
- L. N. Vicente, On interior-point Newton algorithms for discretized optimal
control problems with state constraints,
Optimization Methods & Software, 8 (1998) 249-275
PDF
- L. N. Vicente,
Derivative computations for a class of optimal control problems,
School of Finite Elements and Applications, Centro Internacional de Matemática,
n. 6, Coimbra, September 1998
PDF
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Mário M. Freire, L. N. Vicente, and Henrique J. A. da Silva,
Nonlinear least squares estimation of MQW laser parameters from IM response
measurements,
Proceedings of the Meeting on Applied Mathematics to Telecommunications,
ed. by J.J. Júdice and M. C. Gouveia,
pp. 30-35,
Telecommunications Institute, September 28-29, 1998
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L. N. Vicente, A. L. Topa, C. R. Paiva, and A. M. Barbosa,
Application of the least squares boundary residual
method to the study of step
discontinuities in dielectric planar waveguides,
Proceedings of the Meeting on Applied Mathematics to Telecommunications,
ed. by J.J. Júdice and M. C. Gouveia,
pp. 99-108,
Telecommunications Institute, September 28-29, 1998
- J. E. Dennis and L. N. Vicente,
On the convergence theory of trust-region-based algorithms for
equality-constrained optimization,
SIAM Journal on Optimization, 7 (1997) 527-550
PDF
- L. N. Vicente, Métodos de optimização para controlo óptimo e
projecto de engenharia,
Actas da I Conferência Nacional de
Telecomunicações,
pp. 437-440, 1997
PDF
- L. N. Vicente, G. Savard, and J. J. Júdice,
Discrete linear bilevel programming problem,
Journal of Optimization Theory and Applications, 89 (1996) 597-614
- J. E. Dennis and L. N. Vicente,
Trust-region interior-point algorithms for minimization problems with
simple bounds,
Applied Mathematics and Parallel
Computing, Festschrift for Klaus Ritter,
ed. by H. Fisher, B. Riedmüller, and S. Schäffler, pp. 97-107,
Physica-Verlag, Springer-Verlag, Berlin, 1996
PDF
- L. N. Vicente, A comparison between line searches and trust regions for nonlinear
optimization,
Investigação Operacional, 16 (1996) 173-179
PDF
- L. N. Vicente and P. H. Calamai,
Geometry and local optimality conditions for bilevel
programs with quadratic strictly convex lower levels,
Bookseries Nonconvex Optimization and Its Applications,
Minimax and Applications,
ed. by D.-Z. Du and P. M. Pardalos,
vol. 4, pp. 141-151,
Kluwer Academic Publishers, Dordrecht, 1995
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P. H. Calamai and
L. N. Vicente,
Generating quadratic bilevel programming test problems,
ACM Transactions on Mathematical Software, 20 (1994) 103-119
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P. H. Calamai and
L. N. Vicente,
Algorithm 728: FORTRAN subroutines for generating quadratic bilevel
programming test problems,
ACM Transactions on Mathematical Software, 20 (1994) 120-123 and
Collected Algorithms from ACM, Supplement 129, (1994) 1870 lines of code
- J. J. Júdice and L. N. Vicente,
On the solution and complexity of a generalized linear complementarity problem,
Journal of Global Optimization, 4 (1994) 415-424
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L. N. Vicente and
P. H. Calamai,
Bilevel and multilevel programming: a bibliography review,
Journal of Global Optimization, 5 (1994) 291-306
PDF
- L. N. Vicente, G. Savard, and J. J. Júdice,
Descent approaches for quadratic bilevel programming,
Journal of Optimization Theory and Applications, 81 (1994) 379-399
- L. F. Portugal, J. J. Júdice, and L. N. Vicente,
A comparison of block pivoting and interior-point algorithms
for linear least squares problems with nonnegative variables,
Mathematics of Computation, 63 (1994) 625-643
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P. H. Calamai and
L. N. Vicente,
Generating linear and linear-quadratic bilevel programming problems,
SIAM Journal on Scientific Computing, 14 (1993) 770-782
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P. H. Calamai, L. N. Vicente, and J. J. Júdice,
A new technique for generating quadratic programming test problems,
Mathematical Programming, 61 (1993) 215-231
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L. N. Vicente, J. J. Júdice, and P.M. Pardalos,
Parametric linear programming techniques for the indefinite quadratic programming problem,
IMA Journal of Mathematics Applied in Business and Industry, 4 (1993) 343-349
- L. N. Vicente, P. H. Calamai, and J. J. Júdice,
Generation of disjointly constrained bilinear programming test problems,
Computational Optimization and Applications, 1 (1992) 299-306
- L. N. Vicente, Efficient vehicle routing algorithms for
municipal waste collection (written in portuguese),
Investigação Operacional, 10 (1991) 47-58