8 citations · 21 across the 14 of their papers we have counts for
14 papers
Sparse optimization for estimating the cross-power spectrum in linear inverse models : from theory to the application in brain connectivity
Laura Carini, Isabella Furci, Sara Sommariva
In this work we present a computationally efficient linear optimization approach for estimating the cross--power spectrum of an hidden multivariate stochastic process from that of…
Block structured matrix-sequences and their spectral and singular value canonical distributions: a general theory
Isabella Furci, Andrea Adriani, Stefano Serra-Capizzano
In recent years more and more involved block structures appeared in the literature in the context of numerical approximations of complex infinite dimensional operators modeling rea…
Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems
Matthias Bolten, Marco Donatelli, Paola Ferrari +1
We present novel improvements in the context of symbol-based multigrid procedures for solving large block structured linear systems. We study the application of an aggregation-base…
Flipped structured matrix-sequences in image deblurring with general boundary conditions
Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano
Motivated by a recent work on a preconditioned MINRES for flipped linear systems in imaging, in this note we extend the scope of that research for including more precise boundary c…
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,…
A note on the spectral analysis of matrix sequences via GLT momentary symbols: from all-at-once solution of parabolic problems to distributed fractional order matrices
Matthias Bolten, Sven-Erik Ekström, Isabella Furci +1
The first focus of this paper is the characterization of the spectrum and the singular values of the coefficient matrix stemming from the discretization with space-time grid for a…
Symbol based Convergence Analysis in Block Multigrid Methods with Applications for Stokes Problems
Marco Donatelli, Matthias Bolten, Paola Ferrari +1
The main focus of this paper is the study of efficient multigrid methods for large linear systems with a particular saddle-point structure. Indeed, when the system matrix is symmet…
A symbol based analysis for multigrid methods for Block-Circulant and Block-Toeplitz Systems
Matthias Bolten, Marco Donatelli, Paola Ferrari +1
In the literature, there exist several studies on symbol-based multigrid methods for the solution of linear systems having structured coefficient matrices. In particular, the conve…
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…
Toeplitz Momentary Symbols: definition, results, and limitations in the spectral analysis of Structured Matrices
Matthias Bolten, Sven-Erik Ekström, Isabella Furci +1
A powerful tool for analyzing and approximating the singular values and eigenvalues of structured matrices is the theory of GLT sequences. By the GLT theory one can derive a functi…
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…
The eigenvalue distribution of special -by- block matrix sequences, with applications to the case of symmetrized Toeplitz structures
Paola Ferrari, Isabella Furci, Sean Hon +2
Given a Lebesgue integrable function over , we consider the sequence of matrices , where is the -by- Toeplitz matrix generated by an…
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results
M. Dumbser, F. Fambri, I. Furci +3
The goal of this paper is to create a fruitful bridge between the numerical methods for approximating partial differential equations (PDEs) in fluid dynamics and the (iterative) nu…