-
G. Di Pillo, S. Lucidi, L. Palagi (1993).
An exact penalty-Lagrangian approach for a class of constrained optimization problems with bounded variables.
Optimization, Vol. 28, pp.129-148.
DOI: 10.1080/02331939308843909
- Lucidi, S., Palagi, L. and M. Roma (1998).
On some properties of quadratic programs with a convex quadratic constraint.
SIAM Journal on Optimization, vol.8 (1), pp. 105-122. DOI: 10.1137/S1052623494278049
- G. Di Pillo, S. Lucidi, L. Palagi (1999).
A shifted-barrier primal-dual algorithm model for linearly constrained
optimization problems.
Computational Optimization
and Applications, vol. 12(1-3), pp. 157-188.
DOI: 10.1023/A:1008675917367
- A. Ciancimino, G. Inzerillo, S. Lucidi, L. Palagi (1999). A mathematical programming approach for the solution of the
railway yield management problem.
Transportation Science, vol. 33(2), pp. 168-181. DOI: 10.1287/trsc.33.2.168
- G. Di Pillo, S. Lucidi, and L. Palagi (2000).A superlinearly convergent primal-dual algorithm model for constrained optimization problems with bounded variables. Optimization methods and Software, 14, pp. 49-73. DOI: 10.1080/10556780008805793
- F. Facchinei, S. Lucidi, and L. Palagi (2002).
A Truncated Newton Algorithm for Large Scale Box Constrained
Optimization. SIAM Journal on Optimization., vol. 12, n. 4, pp. 1100--1125.
http://dx.doi.org/10.1137/S1052623499359890
- G. Di Pillo, G. Liuzzi, S. Lucidi, L. Palagi (2003).
Exact augmented Lagrangian function with two-sided constraints.
Computational Optimization
and Applications, vol 25, pp. 57--83.
DOI: 10.1023/A:1022948903451
-
L. Palagi, M. Sciandrone (2005).
On the convergence of a modified version of SVMlight Algorithm.
Optimization Methods and Software vol.20, No.2-3, 2005, pp. 317-334.
DOI:
10.1080/10556780512331318209
-
G. Di Pillo, S. Lucidi, L. Palagi (2005).
Convergence to 2-nd order stationary points of primal-dual algorithm models for nonlinear
programming. Mathematics of Operations Research, vol.30. No. 4, 2005, pp.
897-915.
doi 10.1287/moor.1050.0150
-
I. Bomze, L. Palagi (2005).
Quartic formulation of standard quadratic optimization.
Journal of Global Optimization Volume: 32, Issue: 2, pp. 181 -
205.
DOI:
10.1007/s10898-004-2701-z
-
S. Lucidi, L. Palagi, A. Risi, and M. Sciandrone (2007).
A convergent decomposition algorithm for support vector machines.
Computational Optimization and Applications, 38:217--234, 2007.
DOI: 10.1007/s10589-007-9044-x
-
Lin C.-J., Lucidi S., Palagi L., Risi A., Sciandrone M. (2009)
Decomposition Algorithm Model for Singly
Linearly-Constrained Problems Subject
to Lower and Upper Bounds
J. Optim. Theory Appl. vol.~141, No. 1, pp. 107-126. DOI: 10.1007/s10957-008-9489-9.
-
L. Grippo, L. Palagi, V. Piccialli (2009).
Necessary and sufficient global optimality conditions for NLP
reformulations of linear SDP problems.
Journal of Global
Optimization Volume 44,
Issue3 (2009), Page 339:348.
DOI: 10.1007/s10898-008-9328-4.
- Lucidi S., Palagi L., Risi A., Sciandrone M. (2009)
A Convergent Hybrid Decomposition Algorithm
Model for SVM Training.
IEEE Transactions on Neural Networks,
Volume 20,
Issue 6, June 2009, Page(s):1055 - 1060,
DOI
10.1109/TNN.2009.2020908.
-
G. Di Pillo, G. Liuzzi, S. Lucidi, L.Palagi (2010).
A truncated Newton method in an augmented
Lagrangian framework for nonlinear programming Computational Optimization
and Applications, 45(2):311-352,
DOI: 10.1007/s10589-008-9216-3.
-
L. Grippo, L. Palagi, V. Piccialli (2011). An unconstrained minimization method for solving low rank SDP relaxations of the max cut problem.
Mathematical Programming, Ser. A. Volume 126 (1), 119-146
DOI:10.1007/s10107-009-0275-8
- G. Liuzzi and L. Palagi and M. Piacentini (2011). On the convergence of a Jacobi-type algorithm for Singly Linearly-Constrained Problems Subject to simple Bounds.
(2010). Optimization Letters Volume 5, Number 2, 347-362, DOI: 10.1007/s11590-010-0214-x
- I. Bomze, L. Grippo, L. Palagi (2012).
Unconstrained formulation of standard quadratic
optimization problems. TOP
20 (1) , pp. 35-51
DOI: 10.1007/s11750-010-0166-4
- L. Grippo, L. Palagi, V. Piccialli, M. Piacentini, G. Rinaldi (2012). SpeeDP: An algorithm
to compute SDP bounds
for very large Max-Cut instances.
Mathematical Programming, series B, On-line first DOI: 10.1007/s10107-012-0593-0
- S. Lucidi, L. Palagi, A. Risi, M. Sciandrone (201?). A convergent hybrid decomposition algorithm model using second order information for SVM training. In
"Recent advances in nonlinear optimization and equilibrium problems: a tribute to Marco D'Apuzzo", Quaderni di Matematica (QM). vol. 27 (V. De Simone, D. di Serafino and G. Toraldo eds.), Dipartimento di Matematica, Seconda Universita' di Napoli.
(2012), to appear (
pdf).
Lavori pubblicati su libri o atti di
congressi
- G. Di Pillo, S. Lucidi, L. Palagi, M. Roma (1998). A
controlled random search algorithm with local Newton-type search for global
optimization. In High performance algorithms and software in nonlinear
optimization , Kluwer Academic Publishers, R. De Leone, A. Murli, P. Pardalos
and G. Toraldo eds., 1998.
- S. Lucidi and L. Palagi (1998).
Solution of the trust region problem via a smooth Unconstrained
Reformulation. In Topics in Semidefinite and Interior-Point methods ,
The Field Institute for Research
in Mathematical Sciences Communication Volume, vol.18, 1998.
abstract.pdf
- G. Di Pillo, S. Lucidi, L. Palagi (1999).
A truncated Newton method for constrained optimization. In Nonlinear optimization and Applications, Kluwer Academic Publ., 2, G. Di Pillo and F. Giannessi eds.
abstract.pdf
- L. Palagi (2009).
Large scale trust region problems. In Encyclopedia on Optimization, 2nd ed., Part 12, 1822-1831
Kluwer Academic Publ.,
C. A. Floudas and P. M. Pardalos eds., 2009.
DOI: 10.1007/978-0-387-74759-0_323
- G. Di Pillo, L. Palagi (2002). Nonlinear Programming: Introduction, Unconstrained Nonlinear Programming, Constrained Nonlinear Programming. In Handbook of Applied Optimization (chapter 5), Springer Verlag, P. Pardalos and M. Resende eds., pp.263-298.
-
G. Di Pillo, G. Liuzzi, S. Lucidi, L. Palagi (2002).
Fruitful uses of smooth exact merit functions in constrained optimization. In
High Performance Algorithms and Software for Nonlinear Optimization,
G. Di Pillo and A. Murli, Eds., Kluwer Academic Publishers, 2002, pp. 198-222.
abstract.pdf
-
L. Palagi, V. Piccialli, F. Rendl, G. Rinaldi, and
A. Wiegele (2010).
Computational Approaches to Max-Cut
To appear in Handbook on Semidefinite, Cone and Polynomial
Optimization: Theory, Algorithms, Software and Applications.
M. F. Anjos, and J. B. Lasserre Eds.
Lavori sottomessi per la pubblicazione
- C. Buchheim, M. De Santis,
L. Palagi,
M. Piacentini (2012).An Exact Algorithm for Quadratic Integer Minimization using Nonconvex Relaxations. Submitted to
SIOPT, available Optimization on line
Rapporti tecnici non pubblicati in altra forma
- G. Di Pillo, S. Lucidi, L. Palagi (1991).
An algorithm for the numerical solution of unconstrained optimal
control problems by vector and parallel processors.
Rapporto tecnico CNR 1/55, Progetto
Finalizzato Sistemi Informatici e Calcolo Parallelo.
-
P. Matteucci, L. Palagi (1993).
Un algoritmo per la soluzione di problemi di ottimizzazione non vincolata a grande
dimensione. Rapporto tecnico CNR 1/150, Progetto
Finalizzato Sistemi Informatici e Calcolo Parallelo.
- S. Lucidi, L. Palagi, M. Roma (1994).
Quadratic programs with quadratic constraint: characterization
of KKT points and equivalence with an unconstrained problem.
Rapporto tecnico DIS 24.94, Università di Roma "La Sapienza".
-
L. Grippo, L. Palagi (1994).
Constructive Existence Conditions for systems of nonlinear
inequalities.
Rapporto tecnico DIS 13.94, Università di Roma "La Sapienza".
-
G. Di Pillo, S. Lucidi, L. Palagi (1995).
A continuously differentiable merit function for a class of nonlinear
programming programs.
Rapporto tecnico DIS 16.95, Università di Roma "La Sapienza".
- L. Grippo, S. Lucidi, L. Palagi (1999). A mathematical
programming model for Municipal Solid Waste Management. Manoscritto.
-
S. Lucidi, L. Palagi (2001).
A class of globally and superlinearly convergent algorithms for large scale trust region problems.
Rapporto tecnico DIS 11.01, Università di Roma ``La Sapienza".
Lavori a carattere didattico
- C. Mannino, L. Palagi e M. Roma.
Complementi ed Esercizi di Ricerca Operativa.
Edizione Ingegneria 2000, Roma, 1998. (Indice.ps)
Tesi per il conseguimento di un titolo
-
L. Palagi (1995).
Minimizzazione di funzioni quadratiche in presenza di vincoli. Tesi di Dottorato di Ricerca in "Ricerca Operativa" - VII ciclo -
Università degli Studi di Roma "La Sapienza".
-
L. Palagi (1992).
An exact penalty approach for a class of constrained optimization problem with bounded variables.
Tesi del Corso di
Perfezionamento in Teoria e Metodi Matematici per l'Analisi ed il
Controllo dei Sistemi - Università di Roma "La Sapienza".