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- Francisco Facchinei, Andreas Fischer, Veronica Piccialli
- Oper. Res. Lett.
- 2007

- Francisco Facchinei, Andreas Fischer, Veronica Piccialli
- Math. Program.
- 2009

The generalized Nash equilibrium problem, where the feasible sets of the players may depend on the other players' strategies, is emerging as an important modeling tool. However, its use is limited by its great analytical complexity. We consider several Newton methods, analyze their features and compare their range of applicability. We illustrate in detail… (More)

- Francisco Facchinei, Veronica Piccialli, Marco Sciandrone
- Comp. Opt. and Appl.
- 2011

- Stefano Lucidi, Veronica Piccialli
- J. Global Optimization
- 2002

- Luigi Grippo, Laura Palagi, Veronica Piccialli
- Math. Program.
- 2011

In this paper we consider low-rank semidefinite programming (LRSDP) relaxations of the max cut problem. Using the Gramian representation of a positive semidefinite matrix, the LRSDP problem is transformed into the nonconvex nonlinear programming problem of minimizing a quadratic function with quadratic equality constraints. First, we establish some new… (More)

- Giampaolo Liuzzi, Stefano Lucidi, Veronica Piccialli
- J. Global Optimization
- 2010

This paper is devoted to the study of partition-based deterministic algorithms for global optimization of Lipschitz-continuous functions without requiring knowledge of the Lipschitz constant. First we introduce a general scheme of a partition-based algorithm. Then, we focus on the selection strategy in such a way to exploit the information on the objective… (More)

- Stefano Lucidi, Veronica Piccialli, Marco Sciandrone
- SIAM Journal on Optimization
- 2005

In this paper we consider a particular class of nonlinear optimization problems involving both continuous and discrete variables. The distinguishing feature of this class of nonlinear mixed optimization problems is that the structure and the number of variables of the problem depend on the values of some discrete variables. In particular we define a general… (More)

- Giampaolo Liuzzi, Stefano Lucidi, Veronica Piccialli, Antonello Sotgiu
- Math. Program.
- 2004

In this paper we are concerned with the design of a small low-cost, low-field multipolar magnet for Magnetic Resonance Imaging with a high field uniformity. By introducing appropriate variables, the considered design problem is converted into a global optimization one. This latter problem is solved by means of a new derivative free global optimization… (More)

- Giampaolo Liuzzi, Stefano Lucidi, Veronica Piccialli
- Comp. Opt. and Appl.
- 2010

In this paper we propose a new algorithm for solving difficult large-scale global optimization problems. We draw our inspiration from the well-known DIRECT algorithm which, by exploiting the objective function behavior, produces a set of points that tries to cover the most interesting regions of the feasible set. Unfortunately , it is well-known that this… (More)