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Research activities
The research activities of the Nonlinear Programming group are devoted to the theoretical analysis, the development and the computational experimentation of methods for solving Nonlinear Optimization problems. The solution of problems arising from real world applications is also of interest. The main topics considered are:
- Unconstrained Optimization
- Constrained Optimization
- Variational Inequalities and complementarity problems
- Neural Networks
- Applications in Industrial Engineering
Members of the group
Selected papers
- G. Di Pillo, G. Liuzzi, S. Lucidi, L. Palagi. An exact augmented Lagrangian function with two-sided constraints. Computational Optimization and Applications, 12 pp.57-83, 2003.
- F. Facchinei, G. Liuzzi, S. Lucidi. A truncated Newton-type method fore the solution of large scale inequality constrained problems. Computational Optimization and Applications, 12 pp. 85-122, 2003.
- F. Facchinei, S. Lucidi, L. Palagi. A truncated Newton algorithm for large scale box constrained optimization. SIAM Journal on Optimization 12 pp. 1100-1125, 2002.
- G. Fasano. Conjugate Gradient (CG)-type method for the solution of Newton's equation within optimization framework. Optimization methods and Software, 19 pp. 267-290, 2004.
- L. Grippo, M. Sciandrone. Nonmonotone globalization techniques for the Barzilai-Borwein gradient method. Computational Optimization and Applications, 23 pp.143-169, 2002.
- G. Liuzzi, S. Lucidi, F. Parasiliti, M. Villani. Multi-objective optimization techniques for the design of induction motors. IEEE Transaction on Magnetics, 39 pp.1261-1264, 2003.
- G. Liuzzi, S. Lucidi, V. Piccialli, A. Sotgiu. A magnetic resonance device designed via global optimization techniques. Mathematical Programming, 101 pp. 339-364, 2004.
- S. Lucidi, V. Piccialli. A derivative-based algorithm for a particular class of mixed variable optimization problems. Optimization methods and Software, 19 pp. 371-387, 2004.
- L. Palagi, M. Sciandrone. On the convergence of a modified version of SVM^light algorithm. Optimization Methods and Software, 20 pp.315-332, 2005.
- M. Roma. Dynamic scaling based preconditioning for truncated Newton methods in large scale unconstrained optimization. Optimization Methods and Software, to appear 2005.
Other activities
International Conference Organization:
Workshop on "Large Scale
Nonlinear Optimization", Erice (Italy), June 22 - July 1, 2004.
Ongoing research projects
- MIUR-FIRB National Research Program: Large Scale Nonlinear Optimization.
Cooperation with research groups
- Istituto di Analisi dei Sistemi ed Informatica IASI-CNR, Roma.
- Istituto Nazionale per Studi ed Esperienze di Architettura Navale INSEAN, Roma.
- Dipartimento di Ingegneria Elettrica, Universita' di L'Aquila.