• Publications
  • Influence
On mutual impact of numerical linear algebra and large-scale optimization with focus on interior point methods
TLDR
In this paper we discuss the mutual impact of linear algebra and optimization, focusing on interior point methods and on the iterative solution of the KKT system. Expand
  • 35
  • 2
  • PDF
On the iterative solution of KKT systems in potential reduction software for large-scale quadratic problems
TLDR
We focus on the use of preconditioned iterative techniques to solve the KKT system arising at each iteration of a Potential Reduction method for convex Quadratic Programming. Expand
  • 30
  • 1
Well-posed anisotropic diffusion for image denoising
A nonlinear iterative smoothing filter based on a second-order partial differential equation is introduced. It smooths out the image according to an anisotropic diffusion process. The approach isExpand
  • 27
  • 1
Efficient Preconditioner Updates for Shifted Linear Systems
TLDR
We present a technique for building effective and low cost preconditioners for sequences of shifted linear systems $(A + \alpha I) x_\alpha = b$, where $A$ is symmetric positive definite and $\alpha > 0$. Expand
  • 26
  • 1
  • PDF
Updating Constraint Preconditioners for KKT Systems in Quadratic Programming Via Low-Rank Corrections
TLDR
This work focuses on the iterative solution of sequences of KKT linear systems arising in interior point methods applied to large convex quadratic programming problems. Expand
  • 15
  • 1
  • PDF
Stopping criteria for inner iterations in inexact potential reduction methods: a computational study
TLDR
We analyze a stopping criterion deriving from the convergence theory of inexact Potential Reduction methods and investigate the possibility of relaxing it in order to reduce as much as possible the overall computational cost. Expand
  • 15
  • 1
Shuffle vs. kautz/de bruijn logical topologies for multihop networks: a throughput comparison
TLDR
This paper deals with the analysis of the throughput performance of various logical topologies for Multihop Networks. Expand
  • 7
  • 1
BFGS-like updates of constraint preconditioners for sequences of KKT linear systems in quadratic programming
TLDR
We focus on efficient preconditioning techniques for sequences of KKT linear systems arising from the interior point solution of large convex quadratic programming problems. Expand
  • 10
  • 1
  • PDF
Guillain-Barré syndrome: an Italian multicentre case-control study
Various diseases are described as antecedents of Guillain-Barré syndrome (GBS), particularly gastroenteritis and respiratory infectious diseases, but epidemiological surveys are rare. This paperExpand
  • 42
On the Application of the Spectral Projected Gradient Method in Image Segmentation
TLDR
We investigate the application of the nonmonotone spectral projected gradient (SPG) method to a region-based variational model for image segmentation. Expand
  • 16
  • PDF