4 papers
Symbol based convergence analysis in multigrid methods for saddle point problems
Matthias Bolten, Marco Donatelli, Paola Ferrari +1
Saddle point problems arise in a variety of applications, e.g., when solving the Stokes equations. They can be formulated such that the system matrix is symmetric, but indefinite,…
Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix-sequences
Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano
In recent years, motivated by computational purposes, the singular value and spectral features of the symmetrization of Toeplitz matrices generated by a Lebesgue integrable functio…
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications
Marco Donatelli, Paola Ferrari, Isabella Furci +2
In the past decades, multigrid methods for linear systems having multilevel Toeplitz coefficient matrices with scalar entries have been largely studied. On the other hand, only few…
Spectral Analysis of Saddle-point Matrices from Optimization problems with Elliptic PDE Constraints
Fabio Durastante, Isabella Furci
The main focus of this paper is the characterization and exploitation of the asymptotic spectrum of the saddle--point matrix sequences arising from the discretization of optimizati…