[BOG][B] Generalized locally Toeplitz sequences: theory and applications

C Garoni, S Serra-Capizzano - 2017 - Springer
Sequences of matrices with increasing size naturally arise in several contexts and especially
in the discretization of continuous problems, such as integral and differential equations. The …

Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case

G Barbarino, C Garoni… - Electronic Transactions on …, 2020 - ricerca.sns.it
In computational mathematics, when dealing with a large linear discrete problem (eg, a
linear system) arising from the numerical discretization of a partial differential equation …

[BOG][B] Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case

G Barbarino, C Garoni, S Serra-Capizzano - 2019 - diva-portal.org
In computational mathematics, when dealing with a large linear discrete problem (eg, a
linear system) arising from the numerical discretization of a differential equation (DE), the …

[BOG][B] Iterative methods and preconditioning for large and sparse linear systems with applications

D Bertaccini, F Durastante - 2018 - taylorfrancis.com
This book describes, in a basic way, the most useful and effective iterative solvers and
appropriate preconditioning techniques for some of the most important classes of large and …

Spectral analysis of coupled PDEs and of their Schur complements via generalized locally Toeplitz sequences in 2D

A Dorostkar, M Neytcheva… - Computer Methods in …, 2016 - Elsevier
We consider large linear systems of algebraic equations arising from the Finite Element
approximation of coupled partial differential equations. As case study we focus on the linear …

The theory of generalized locally Toeplitz sequences: a review, an extension, and a few representative applications

C Garoni, S Serra-Capizzano - … , and Related Topics: The Albrecht Böttcher …, 2017 - Springer
We review and extend the theory of Generalized Locally Toeplitz (GLT) sequences, which
goes back to Tilli's work on Locally Toeplitz sequences and was developed by the second …

The theory of locally Toeplitz sequences: a review, an extension, and a few representative applications

C Garoni, S Serra-Capizzano - Boletín de la Sociedad Matemática …, 2016 - Springer
The theory of locally Toeplitz (LT) sequences is a powerful apparatus for computing the
asymptotic singular value and eigenvalue distribution of the discretization matrices A_n A n …

A Low-Complexity Quantum Simulation Framework for Toeplitz-Structured Matrix and Its Application in Signal Processing

MR Laskar, S Mondal, AK Dutta - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Toeplitz matrix reconstruction algorithms (TMRAs) are one of the central subroutines in array
processing for wireless communication applications. The classical TMRAs have shown …

Block generalized locally Toeplitz sequences: topological construction, spectral distribution results, and star-algebra structure

C Garoni, S Serra-Capizzano, D Sesana - Structured Matrices in …, 2019 - Springer
The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for
computing the asymptotic singular value and eigenvalue distribution of matrices A n arising …

Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix‐valued symbol

M Donatelli, C Garoni, M Mazza… - … Linear Algebra with …, 2016 - Wiley Online Library
We perform a spectral analysis of the preconditioned Hermitian/skew‐Hermitian splitting
(PHSS) method applied to multilevel block Toeplitz linear systems in which the coefficient …