13 citations · 30 across the 9 of their papers we have counts for
9 papers · 1 filter
Analysis of Block Jacobi/Gauss-Seidel and additive/multiplicative Schwarz preconditioning through the theory of GLT sequences, with applications to domain decomposition discretizations
Carlo Garoni, Abdessadek Rifqui, Stefano Serra-Capizzano
When a linear differential problem is discretized by a linear numerical method characterized by a mesh fineness parameter , the computation of the numerical solution reduces to…
Block Jacobi/Gauss-Seidel preconditioning for GLT sequences, and GLH sequences
Carlo Garoni, Stefano Serra-Capizzano
The theory of generalized locally Toeplitz (GLT) sequences is an apparatus for computing the spectral and singular value distribution of sequences of matrices that possess a (possi…
Introduction to the theory of generalized locally Toeplitz sequences and its applications
Carlo Garoni
The theory of generalized locally Toeplitz (GLT) sequences was conceived as an apparatus for computing the spectral distribution of matrices arising from the numerical discretizati…
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…
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 …
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…
Eigenvalues and Eigenvectors of Tau Matrices with Applications to Markov Processes and Economics
Sven-Erik Ekström, Carlo Garoni, Adam Jozefiak +1
In the context of matrix displacement decomposition, Bozzo and Di Fiore introduced the so-called algebra, a generalization of the more known algebra origina…
Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol
Marco Donatelli, Carlo Garoni, Mariarosa Mazza +2
This note is devoted to preconditioning strategies for non-Hermitian multilevel block Toeplitz linear systems associated with a multivariate Lebesgue integrable matrix-valued symbo…