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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, 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)

- Valeria Cardellini, Vittoria De Nitto Persone, +4 authors Veronica Piccialli
- Math. Program.
- 2016

We consider a three-tier architecture for mobile and pervasive computing scenarios, consisting of a local tier of mobile nodes, a middle tier (cloudlets) of nearby computing nodes, typically located at the mobile nodes access points but characterized by a limited amount of resources, and a remote tier of distant cloud servers, which have practically… (More)

The fundamental problem of distance geometry, F P DG , involves the characterization and study of sets of points based only on given values of (some of) the distances between pairs of points. This problem has a wide range of applications in various areas of mathematics, physics, chemistry, and engineering. Euclidean Distance Matrices, EDM , play an… (More)

- Lucio Bianco, Massimiliano Caramia, Stefano Giordani, Veronica Piccialli
- Transportation Science
- 2016

- 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)