Carlo Garoni

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Locally Toeplitz Sequences

Carlo Garoni, Stefano Serra-Capizzano, 2017 .

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

Carlo Garoni, Stefano Serra-Capizzano, Giovanni Barbarino, 2019 .

Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2017, SIAM J. Numer. Anal..

Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form?

Stefano Serra Capizzano, Carlo Garoni, Sven-Erik Ekström, 2018, Exp. Math..

Summary of the Theory

Carlo Garoni, Stefano Serra-Capizzano, 2017 .

NURBS in isogeometric discretization methods: A spectral analysis

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2020, Numer. Linear Algebra Appl..

On the spectrum of stiffness matrices arising from isogeometric analysis

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2014, Numerische Mathematik.

A matrix-less and parallel interpolation–extrapolation algorithm for computing the eigenvalues of preconditioned banded symmetric Toeplitz matrices

Carlo Garoni, Sven-Erik Ekström, 2018, Numerical Algorithms.

Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2017, Math. Comput..

Eigenvalues and Eigenvectors of Tau Matrices with Applications to Markov Processes and Economics pdf

Jesse Perla, Carlo Garoni, Sven-Erik Ekström, 2020, ArXiv.

Spectral analysis and spectral symbol of matrices in isogeometric collocation methods

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2015, Math. Comput..

Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol

Stefano Serra Capizzano, Rolf Krause, Xiaozhou Li, 2018, SIAM J. Matrix Anal. Appl..

Spectral Analysis and Spectral Symbol of d-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices

Stefano Serra Capizzano, Carlo Garoni, Debora Sesana, 2015, SIAM J. Matrix Anal. Appl..

Block Generalized Locally Toeplitz Sequences: From the Theory to the Applications

Stefano Serra Capizzano, Mariarosa Mazza, Carlo Garoni, 2018, Axioms.

Two-grid optimality for Galerkin linear systems based on B-splines

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2015, Comput. Vis. Sci..

Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol

Stefano Serra Capizzano, Marco Donatelli, Mariarosa Mazza, 2014, Appl. Math. Comput..

Are the eigenvalues of the B‐spline isogeometric analysis approximation of −Δu = λu known in almost closed form?

Hendrik Speleers, Carla Manni, Stefano Serra Capizzano, 2018, Numer. Linear Algebra Appl..

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

Stefano Serra Capizzano, Marco Donatelli, Mariarosa Mazza, 2016, Numer. Linear Algebra Appl..

Constructive approach to the monotone rearrangement of functions pdf

Carlo Garoni, Giovanni Barbarino, Davide Bianchi, 2021, Expositiones Mathematicae.

Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation

Stefano Serra Capizzano, Carlo Garoni, Pietro Benedusi, 2021, Journal of Scientific Computing.

Isogeometric discretizations with generalized B-splines: Symbol-based spectral analysis

Hendrik Speleers, Carla Manni, Carlo Garoni, 2021 .

Block Locally Toeplitz Sequences: Construction and Properties

Carlo Garoni, Stefano Serra-Capizzano, Debora Sesana, 2019, Structured Matrices in Numerical Linear Algebra.

A general tool for determining the asymptotic spectral distribution of Hermitian matrix-sequences

Carlo Garoni, Stefano Serra-Capizzano, P. Vassalos, 2015 .

Robust and optimal multi-iterative techniques for IgA Galerkin linear systems This is a preprint of a paper published in Comput. Methods Appl. Mech. Engrg. 284 (2015) 230264.

Hendrik Speleers, Carla Manni, Marco Donatelli, 2015 .

Symbol-Based Analysis of Finite Element and Isogeometric B-Spline Discretizations of Eigenvalue Problems: Exposition and Review

Hendrik Speleers, Alessandro Reali, Thomas J. R. Hughes, 2019, Archives of Computational Methods in Engineering.

Lusin theorem, GLT sequences and matrix computations: An application to the spectral analysis of PDE discretization matrices

Hendrik Speleers, Carla Manni, Carlo Garoni, 2017 .

Generalized locally Toeplitz sequences : Theory and applications

Carlo Garoni, Stefano Serra-Capizzano, S. Serra-Capizzano, 2017 .

Spectral Analysis and Spectral Symbol of d-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices

Carlo Garoni, Stefano Serra-Capizzano, Debora Sesana, 2015, SIAM J. Matrix Anal. Appl..

Spectral analysis of matrices in isogeometric collocation methods

Hendrik Speleers, Carla Manni, Marco Donatelli, 2014 .

Block Generalized Locally Toeplitz Sequences: Topological Construction, Spectral Distribution Results, and Star-Algebra Structure

Carlo Garoni, Stefano Serra-Capizzano, Debora Sesana, 2019, Structured Matrices in Numerical Linear Algebra.

Robust and optimal multi-iterative techniques for IgA Galerkin linear systems

Hendrik Speleers, Carla Manni, Marco Donatelli, 2015 .

Generalized locally Toeplitz sequences : a review and an extension

Carlo Garoni, Stefano Serra-Capizzano, S. Serra-Capizzano, 2015 .

Generalized Locally Toeplitz Sequences: Theory and Applications: Volume I

Carlo Garoni, Stefano Serra-Capizzano, S. Serra-Capizzano, 2017 .

Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey

Carlo Garoni, Stefano Serra-Capizzano, Albrecht Böttcher, 2017 .

DISCONTINUOUS GALERKIN DISCRETIZATION OF THE HEAT EQUATION IN ANY DIMENSION : THE SPECTRAL SYMBOL

Rolf Krause, Carlo Garoni, Stefano Serra-Capizzano, 2018 .

Structured matrices coming from PDE approximation theory: spectral analysis, spectral symbol and design of fast iterative solvers.

Carlo Garoni, 2015 .

Tools for Determining the Asymptotic Spectral Distribution of non-Hermitian Perturbations of Hermitian Matrix-Sequences and Applications

Carlo Garoni, Stefano Serra-Capizzano, Debora Sesana, 2015 .

Generalized locally Toeplitz sequences : A spectral analysis tool for discretized differential equations

Carlo Garoni, Stefano Serra-Capizzano, S. Serra-Capizzano, 2018 .

The theory of block generalized locally Toeplitz sequences

Carlo Garoni, Stefano Serra-Capizzano, Debora Sesana, 2018 .

Multilevel Generalized Locally Toeplitz Sequences

Carlo Garoni, Stefano Serra-Capizzano, S. Serra-Capizzano, 2018 .

Generalized Locally Toeplitz Sequences

Carlo Garoni, Stefano Serra-Capizzano, S. Serra-Capizzano, 2017 .

Spectral distribution of PDE discretization matrices from isogeometric analysis: the case of $L^1$ coefficients and non-regular geometry

Carlo Garoni, 2018 .

Spectral and convergence analysis of the Discrete ALIF method

Antonio Cicone, Carlo Garoni, Stefano Serra-Capizzano, 2019, Linear Algebra and its Applications.