24 citations · 101 across the 20 of their papers we have counts for
20 papers
Spectral properties of flipped Toeplitz matrices
Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni +3
We study the spectral properties of flipped Toeplitz matrices of the form , where is the Toeplitz matrix generated by the function and $Y…
Extension and convergence analysis of Iterative Filtering to spherical data
Giovanni Barbarino, Roberto Cavassi, Antonio Cicone
Many real-life signals are defined on spherical domains, in particular in geophysics and physics applications. In this work, we tackle the problem of extending the iterative filter…
From asymptotic distribution and vague convergence to uniform convergence, with numerical applications
Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni +3
Let be a sequence of finite multisets of real numbers such that as , and let …
Ergodic Estimations for Toeplitz Sequences Generated by a Symbol
Giovanni Barbarino
We analyse the convergence of the ergodic formula for Toeplitz matrix-sequences generated by a symbol and we produce explicit bounds depending on the size of the matrix, the regula…
On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of -palindromic matrix polynomials
Giovanni Barbarino, Vanni Noferini
We study the eigendecompositions of para-Hermitian matrices , that is, matrix-valued functions that are analytic and Hermitian on the unit circle . In…
Theoretical results for eigenvalues, singular values, and eigenvectors of (flipped) Toeplitz matrices and related computational proposals
Giovanni Barbarino, Sven-Erik Ekström, Stefano Serra-Capizzano +1
In a series of recent papers the spectral behavior of the matrix sequence is studied in the sense of the spectral distribution, where is the main antidiagonal…
Rectangular GLT Sequences
Giovanni Barbarino, Carlo Garoni, Mariarosa Mazza +1
The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the asymptotic spectral distribution of square matrices arising from the disc…
Constructive approach to the monotone rearrangement of functions
Giovanni Barbarino, Davide Bianchi, Carlo Garoni
We detail a simple procedure (easily convertible to an algorithm) for constructing from quasi-uniform samples of a sequence of linear spline functions converging to the monoton…
Stabilization and Variations to the Adaptive Local Iterative Filtering Algorithm: the Fast Resampled Iterative Filtering Method
Giovanni Barbarino, Antonio Cicone
Non-stationary signals are ubiquitous in real life. Many techniques have been proposed in the last decades which allow decomposing multi-component signals into simple oscillatory m…
On role extraction for digraphs via neighbourhood pattern similarity
Giovanni Barbarino, Vanni Noferini, Paul Van Dooren
We analyse the recovery of different roles in a network modelled by a directed graph, based on the so-called Neighbourhood Pattern Similarity approach. Our analysis uses results fr…
The limit empirical spectral distribution of complex matrix polynomials
Giovanni Barbarino, Vanni Noferini
We study the empirical spectral distribution (ESD) for complex n x n matrix polynomials of degree k. We obtain exact formulae for the almost sure limit of the ESD in two distinct s…
A systematic approach to reduced GLT
Giovanni Barbarino
This paper concerns the spectral analysis of matrix-sequences that are generated by the discretization and numerical approximation of partial differential equations (PDEs), in case…
Conjectures on spectral properties of ALIF algorithm
Giovanni Barbarino, Antonio Cicone
A new decomposition method for nonstationary signals, named Adaptive Local Iterative Filtering (ALIF), has been recently proposed in the literature. Given its similarity with the E…
The limit empirical spectral distribution of Gaussian monic complex matrix polynomials
Giovanni Barbarino, Vanni Noferini
We define the empirical spectral distribution (ESD) of a random matrix polynomial with invertible leading coefficient, and we study it for complex Gaussian monic matri…
Conjectures on Perturbations of Hermitian Sequences
Giovanni Barbarino
Investigation on open questions about perturbation of Hermitian sequences and their spectral symbols. Results on normal sequences are also furnished.
Notes on asymptotic eigenvalues distribution on complex circles
Giovanni Barbarino
With tools of measure theory and symbols of matrix sequences, we explore the results regarding curves on finite fields and Weil Systems. This document wants to draw a bridge betwee…
Normal form for GLT sequences, functions of normal GLT sequences, and spectral distribution of perturbed normal matrices
Giovanni Barbarino, Carlo Garoni
The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for computing the asymptotic spectral distribution of matrices arising from numerical discr…
Diagonal Matrix Sequences and their Spectral Symbols
Giovanni Barbarino
The spectral symbols are useful tools to analyse the eigenvalue distribution when dealing with high dimensional linear systems. Given a matrix sequence with an asymptotic symbol, t…
Equivalence between GLT sequences and measurable functions
Giovanni Barbarino
The theory of Generalized Locally Toeplitz (GLT) sequences of matrices has been developed in order to study the asymptotic behaviour of particular spectral distributions when the d…
Permutation NMF
Giovanni Barbarino
Nonnegative Matrix Factorization(NMF) is a common used technique in machine learning to extract features out of data such as text documents and images thanks to its natural cluster…