Stefano Serra-Capizzano

Orcid: 0000-0001-9477-109X

Affiliations:
  • University of Insubria, Como, Italy
  • Uppsala University, Department of Information Technology, Division of Scientific Computing, Sweden


According to our database1, Stefano Serra-Capizzano authored at least 155 papers between 1996 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
Matrix-less methods for the spectral approximation of large non-Hermitian Toeplitz matrices: A concise theoretical analysis and a numerical study.
Numer. Linear Algebra Appl., August, 2024

New Monotonic Properties for Solutions of Odd-Order Advanced Nonlinear Differential Equations.
Symmetry, July, 2024

Preconditioned weighted full orothogonalization method for solving singular linear systems from PageRank problems.
Numer. Linear Algebra Appl., May, 2024

Algebra preconditionings for 2D Riesz distributed-order space-fractional diffusion equations on convex domains.
Numer. Linear Algebra Appl., May, 2024

A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs.
Numer. Algorithms, April, 2024

Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: The preconditioned setting.
Appl. Math. Comput., April, 2024

Fast Non-Hermitian Toeplitz Eigenvalue Computations, Joining Matrixless Algorithms and FDE Approximation Matrices.
SIAM J. Matrix Anal. Appl., March, 2024

Modeling Excitable Cells with the EMI Equations: Spectral Analysis and Iterative Solution Strategy.
J. Sci. Comput., March, 2024

More Effective Criteria for Testing the Oscillation of Solutions of Third-Order Differential Equations.
Axioms, March, 2024

Clustering/Distribution Analysis and Preconditioned Krylov Solvers for the Approximated Helmholtz Equation and Fractional Laplacian in the Case of Complex-Valued, Unbounded Variable Coefficient Wave Number μ.
Algorithms, March, 2024

Asymptotic spectra of large (grid) graphs with a uniform local structure, Part II: Numerical applications.
J. Comput. Appl. Math., February, 2024

New Conditions for Testing the Oscillation of Solutions of Second-Order Nonlinear Differential Equations with Damped Term.
Axioms, February, 2024

One or two frequencies? The Iterative Filtering answers.
Appl. Math. Comput., February, 2024

Spectral Analysis of Preconditioned Matrices Arising from Stage-Parallel Implicit Runge-Kutta Methods of Arbitrarily High Order.
SIAM J. Matrix Anal. Appl., 2024

Symbol-based multilevel block τ preconditioners for multilevel block Toeplitz systems: GLT-based analysis and applications.
CoRR, 2024

Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning.
CoRR, 2024

Block structured matrix-sequences and their spectral and singular value canonical distributions: a general theory.
CoRR, 2024

A note on eigenvalues and singular values of variable Toeplitz matrices and matrix-sequences, with application to variable two-step BDF approximations to parabolic equations.
CoRR, 2024

Can the a.c.s. notion and the GLT theory handle approximated PDEs/FDEs with either moving or unbounded domains?
CoRR, 2024

On τ-preconditioners for a quasi-compact difference scheme to Riesz fractional diffusion equations with variable coefficients.
CoRR, 2024

A note on the convergence of multigrid methods for the Riesz-space equation and an application to image deblurring.
CoRR, 2024

Flipped structured matrix-sequences in image deblurring with general boundary conditions.
CoRR, 2024

Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with Caputo fractional Laplacian and variable coefficient wave number μ.
CoRR, 2024

2023
A Preconditioned MINRES Method for Optimal Control of Wave Equations and its Asymptotic Spectral Distribution Theory.
SIAM J. Matrix Anal. Appl., December, 2023

ω-Circulant Matrices: A Selection of Modern Applications from Preconditioning of Approximated PDEs to Subdivision Schemes.
Algorithms, July, 2023

Nonlocal problems with anti-symmetric and anti-reflective boundary conditions: a computational analysis and numerical comparisons.
CoRR, 2023

Spectral properties of flipped Toeplitz matrices.
CoRR, 2023

The β maps and the strong clustering at the complex unit circle.
CoRR, 2023

The numerical linear algebra of weights: from the spectral analysis to conditioning and preconditioning in the Laplacian case.
CoRR, 2023

From asymptotic distribution and vague convergence to uniform convergence, with numerical applications.
CoRR, 2023

Fine spectral analysis of preconditioned matrices and matrix-sequences arising from stage-parallel implicit Runge-Kutta methods of arbitrarily high order.
CoRR, 2023

Two-Dimensional Semi-linear Riesz Space Fractional Diffusion Equations in Convex Domains: GLT Spectral Analysis and Multigrid Solvers.
Proceedings of the Large-Scale Scientific Computations - 14th International Conference, 2023

2022
Spectral analysis of the finite element matrices approximating 2D linearly elastic structures and multigrid proposals.
Numer. Linear Algebra Appl., 2022

Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory.
Numer. Algorithms, 2022

Fast non-Hermitian Toeplitz eigenvalue computations, joining matrix-less algorithms and FDE approximation matrices.
CoRR, 2022

A smoothing analysis for multigrid methods applied to tempered fractional problems.
CoRR, 2022

A note on the eigenvalues, singular values, and eigenvectors of Toeplitz and Hankel matrices.
CoRR, 2022

Fast algebraic multigrid for block-structured dense and Toeplitz-like-plus-Cross systems arising from nonlocal diffusion problems.
CoRR, 2022

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.
CoRR, 2022

Rectangular GLT Sequences.
CoRR, 2022

A sine transform based preconditioned MINRES method for all-at-once systems from evolutionary partial differential equations.
CoRR, 2022

Statistical Convergence via q-Calculus and a Korovkin's Type Approximation Theorem.
Axioms, 2022

2021
A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximations and a related spectrally based preconditioning approach.
Numerische Mathematik, 2021

Asymptotic spectra of large matrices coming from the symmetrization of Toeplitz structure functions and applications to preconditioning.
Numer. Linear Algebra Appl., 2021

Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications.
Numer. Linear Algebra Appl., 2021

Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation.
J. Sci. Comput., 2021

Eigenvalue superposition expansion for Toeplitz matrix-sequences, generated by linear combinations of matrix-order dependent symbols, and applications to fast eigenvalue computations.
CoRR, 2021

On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems.
CoRR, 2021

Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems.
CoRR, 2021

Spectral and norm estimates for matrix sequences arising from a finite difference approximation of elliptic operators.
CoRR, 2021

A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximation and related solvers.
CoRR, 2021

2020
A Multigrid Method for Nonlocal Problems: Non-Diagonally Dominant or Toeplitz-Plus-Tridiagonal Systems.
SIAM J. Matrix Anal. Appl., 2020

Spectral analysis of ℙ<sub>k</sub> Finite Element matrices in the case of Friedrichs-Keller triangulations via Generalized Locally Toeplitz technology.
Numer. Linear Algebra Appl., 2020

NURBS in isogeometric discretization methods: A spectral analysis.
Numer. Linear Algebra Appl., 2020

Eigenpairs of some particular band Toeplitz matrices: A comment.
Numer. Linear Algebra Appl., 2020

Non-Hermitian perturbations of Hermitian matrix-sequences and applications to the spectral analysis of the numerical approximation of partial differential equations.
Numer. Linear Algebra Appl., 2020

Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix-sequences.
CoRR, 2020

Asymptotic spectra of large (grid) graphs with a uniform local structure.
CoRR, 2020

A level-set multigrid technique for nonlinear diffusion in the numerical simulation of marble degradation under chemical pollutants.
Appl. Math. Comput., 2020

2019
The Eigenvalue Distribution of Special 2-by-2 Block Matrix-Sequences with Applications to the Case of Symmetrized Toeplitz Structures.
SIAM J. Matrix Anal. Appl., 2019

Spectral analysis and spectral symbol for the 2D curl-curl (stabilized) operator with applications to the related iterative solutions.
Math. Comput., 2019

A merged tuning of binary and ternary Loop's subdivision.
Comput. Aided Geom. Des., 2019


2018
Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations.
SIAM J. Sci. Comput., 2018

Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol.
SIAM J. Matrix Anal. Appl., 2018

Are the eigenvalues of the B-spline isogeometric analysis approximation of -Δu = λu known in almost closed form?
Numer. Linear Algebra Appl., 2018

Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols.
Numer. Linear Algebra Appl., 2018

Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: Spectral analysis and computational results.
Numer. Linear Algebra Appl., 2018

Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form?
Numer. Algorithms, 2018

Uniform Convergence of V-cycle Multigrid Algorithms for Two-Dimensional Fractional Feynman-Kac Equation.
J. Sci. Comput., 2018

Generalized newton multi-step iterative methods GMNp, m for solving system of nonlinear equations.
Int. J. Comput. Math., 2018

Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form?
Exp. Math., 2018

Block Generalized Locally Toeplitz Sequences: From the Theory to the Applications.
Axioms, 2018

2017
Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis.
SIAM J. Numer. Anal., 2017

Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods.
Math. Comput., 2017

Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem.
Comput. Math. Appl., 2017

Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations.
Appl. Math. Comput., 2017

2016
Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol.
Numer. Linear Algebra Appl., 2016

Spectral analysis and spectral symbol of matrices in isogeometric collocation methods.
Math. Comput., 2016

Spectral analysis and structure preserving preconditioners for fractional diffusion equations.
J. Comput. Phys., 2016

Solving systems of nonlinear equations when the nonlinearity is expensive.
Comput. Math. Appl., 2016

Constructing Frozen Jacobian Iterative Methods for Solving Systems of Nonlinear Equations, Associated with ODEs and PDEs Using the Homotopy Method.
Algorithms, 2016

A Family of Iterative Methods for Solving Systems of Nonlinear Equations Having Unknown Multiplicity.
Algorithms, 2016

2015
Spectral Analysis and Spectral Symbol of d-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices.
SIAM J. Matrix Anal. Appl., 2015

Quasi-optimal preconditioners for finite element approximations of diffusion dominated convection-diffusion equations on (nearly) equilateral triangle meshes.
Numer. Linear Algebra Appl., 2015

Two-grid optimality for Galerkin linear systems based on B-splines.
Comput. Vis. Sci., 2015

Higher order multi-step iterative method for computing the numerical solution of systems of nonlinear equations: Application to nonlinear PDEs and ODEs.
Appl. Math. Comput., 2015

An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs.
Appl. Math. Comput., 2015

Accelerated multigrid for graph Laplacian operators.
Appl. Math. Comput., 2015

Schur Complement Matrix and Its (Elementwise) Approximation: A Spectral Analysis Based on GLT Sequences.
Proceedings of the Large-Scale Scientific Computing - 10th International Conference, 2015

2014
On the spectrum of stiffness matrices arising from isogeometric analysis.
Numerische Mathematik, 2014

Singular-value (and eigenvalue) distribution and Krylov preconditioning of sequences of sampling matrices approximating integral operators.
Numer. Linear Algebra Appl., 2014

Symbol approach in a signal-restoration problem involving block Toeplitz matrices.
J. Comput. Appl. Math., 2014

Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol.
Appl. Math. Comput., 2014

2012
Nonnegative inverse eigenvalue problems with partial eigendata.
Numerische Mathematik, 2012

Spectral analysis and preconditioning techniques for radial basis function collocation matrices.
Numer. Linear Algebra Appl., 2012

A note on the (regularizing) preconditioning of g-Toeplitz sequences via g-circulants.
J. Comput. Appl. Math., 2012

2011
Analysis of Multigrid Preconditioning for Implicit PDE Solvers for Degenerate Parabolic Equations.
SIAM J. Matrix Anal. Appl., 2011

Fast Preconditioners for Total Variation Deblurring with Antireflective Boundary Conditions.
SIAM J. Matrix Anal. Appl., 2011

2010
Spectral Features and Asymptotic Properties for g-Circulants and g-Toeplitz Sequences.
SIAM J. Matrix Anal. Appl., 2010

Antireflective Boundary Conditions for Deblurring Problems.
J. Electr. Comput. Eng., 2010

Google PageRanking problem: The model and the analysis.
J. Comput. Appl. Math., 2010

Preface.
J. Comput. Appl. Math., 2010

A note on algebraic multigrid methods for the discrete weighted Laplacian.
Comput. Math. Appl., 2010

2007
On the Asymptotic Spectrum of Finite Element Matrix Sequences.
SIAM J. Numer. Anal., 2007

Simplification of a result on banded Toeplitz matrices and BVM methods.
Numerische Mathematik, 2007

The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences.
J. Approx. Theory, 2007

A General Setting for the Parametric Google Matrix.
Internet Math., 2007

Frequency domain errors-in-variables approach for two-channel SIMO system identification.
Proceedings of the 15th European Signal Processing Conference, 2007

Google Pageranking Problem: The Model and the Analysis.
Proceedings of the Web Information Retrieval and Linear Algebra Algorithms, 11.02., 2007

2006
Two-level Toeplitz preconditioning: approximation results for matrices and functions.
SIAM J. Sci. Comput., 2006

On the Regularizing Power of Multigrid-type Algorithms.
SIAM J. Sci. Comput., 2006

Spectral Analysis of a Preconditioned Iterative Method for the Convection-Diffusion Equation.
SIAM J. Matrix Anal. Appl., 2006

Block band Toeplitz preconditioners derived from generating function approximations: analysis and applications.
Numerische Mathematik, 2006

2005
Superoptimal Preconditioned Conjugate Gradient Iteration for Image Deblurring.
SIAM J. Sci. Comput., 2005

How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case.
SIAM J. Matrix Anal. Appl., 2005

Jordan Canonical Form of the Google Matrix: A Potential Contribution to the PageRank Computation.
SIAM J. Matrix Anal. Appl., 2005

Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation.
Numerische Mathematik, 2005

A preconditioning proposal for ill-conditioned Hermitian two-level Toeplitz systems.
Numer. Linear Algebra Appl., 2005

Numerical behaviour of multigrid methods for symmetric Sinc-Galerkin systems.
Numer. Linear Algebra Appl., 2005

Preconditioning strategies for non-Hermitian Toeplitz linear systems.
Numer. Linear Algebra Appl., 2005

Two-grid methods for banded linear systems from DCT III algebra.
Numer. Linear Algebra Appl., 2005

Fast and numerically stable algorithms for discrete Hartley transforms and applications to preconditioning.
Commun. Inf. Syst., 2005

2004
Matrix algebra preconditioners for multilevel Toeplitz systems do not insure optimal convergence rate.
Theor. Comput. Sci., 2004

Preconditioning Strategies for Hermitian Indefinite Toeplitz Linear Systems.
SIAM J. Sci. Comput., 2004

Multigrid Methods for Multilevel Circulant Matrices.
SIAM J. Sci. Comput., 2004

A Note on Antireflective Boundary Conditions and Fast Deblurring Models.
SIAM J. Sci. Comput., 2004

The Spectra of Preconditioned Toeplitz Matrix Sequences Can Have Gaps.
SIAM J. Matrix Anal. Appl., 2004

V-cycle Optimal Convergence for Certain (Multilevel) Structured Linear Systems.
SIAM J. Matrix Anal. Appl., 2004

On the analytical comparison of testing techniques.
Proceedings of the ACM/SIGSOFT International Symposium on Software Testing and Analysis, 2004

2003
Fat Diagonals and Fourier Analysis.
SIAM J. Matrix Anal. Appl., 2003

Superlinear Preconditioners for Finite Differences Linear Systems.
SIAM J. Matrix Anal. Appl., 2003

Practical Band Toeplitz Preconditioning and Boundary Layer Effects.
Numer. Algorithms, 2003

How to prove that a preconditioner cannot be superlinear.
Math. Comput., 2003

2002
Convergence analysis of two-grid methods for elliptic Toeplitz and PDEs Matrix-sequences.
Numerische Mathematik, 2002

2001
Spectral Analysis of (Sequences of) Graph Matrices.
SIAM J. Matrix Anal. Appl., 2001

Finite Element Matrix Sequences: the Case of Rectangular Domains.
Numer. Algorithms, 2001

Asymptotic Zero Distribution of Orthogonal Polynomials with Discontinuously Varying Recurrence Coefficients.
J. Approx. Theory, 2001

2000
Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear.
SIAM J. Matrix Anal. Appl., 2000

Locally <i>X</i> Matrices, Spectral Distributions, Preconditioning, and Applications.
SIAM J. Matrix Anal. Appl., 2000

Constructive techniques for approximating collocation linear systems.
Numer. Algorithms, 2000

Korovkin tests, approximation, and ergodic theory.
Math. Comput., 2000

Preliminary Remarks on Multigrid Methods for Circulant Matrices.
Proceedings of the Numerical Analysis and Its Applications, 2000

1999
Analytical Analysis of the Gavrilov-Guckenheimer Bifurcation Unfolding in the Case of a Proportional-Integral Controlled CSTR.
SIAM J. Appl. Math., 1999

A Korovkin-type theory for finite Toeplitz operators via matrix algebras.
Numerische Mathematik, 1999

The rate of convergence of Toeplitz based PCG methods for second order nonlinear boundary value problems.
Numerische Mathematik, 1999

A unifying approach to abstract matrix algebra preconditioning.
Numerische Mathematik, 1999

Superlinear PCG methods for symmetric Toeplitz systems.
Math. Comput., 1999

Preliminary Remarks on Preconditioning Strategies for 2D Collocation Linear Systems.
Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999

1998
Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices.
SIAM J. Matrix Anal. Appl., 1998

Toeplitz Preconditioners Constructed from Linear Approximation Processes.
SIAM J. Matrix Anal. Appl., 1998

1997
Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems.
Math. Comput., 1997

1996
Multigrid Methods for Symmetric Positive Definite Block Toeplitz Matrices with Nonnegative Generating Functions.
SIAM J. Sci. Comput., 1996

Preconditioning Strategies for Hermitian Toeplitz Systems with Nondefinite Generating Functions.
SIAM J. Matrix Anal. Appl., 1996

The Effectiveness of Band-Toeplitz Preconditioners: A Survey.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996


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