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ORCIDStefano Serra-Capizzano
Stefano Serra
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- affiliation: University of Insubria, Como, Italy
- affiliation: Uppsala University, Department of Information Technology, Division of Scientific Computing, Sweden
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Journal Articles
- 2024
[j117]Andrea Adriani, Stefano Serra-Capizzano, Cristina Tablino Possio:
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 17(3): 100 (2024)- [j116]Antonio Cicone, Stefano Serra-Capizzano, Haomin Zhou:
One or two frequencies? The Iterative Filtering answers. Appl. Math. Comput. 462: 128322 (2024) - [j115]Manuel Bogoya
, Stefano Serra-Capizzano, Paraskevas Vassalos:
Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: The preconditioned setting. Appl. Math. Comput. 466: 128483 (2024) - [j114]Asma Al-Jaser, Belgees Qaraad, Higinio Ramos, Stefano Serra-Capizzano:
New Conditions for Testing the Oscillation of Solutions of Second-Order Nonlinear Differential Equations with Damped Term. Axioms 13(2): 105 (2024) - [j113]Najiyah Omar, Stefano Serra-Capizzano, Belgees Qaraad, Faizah Alharbi, Osama Moaaz, Elmetwally M. Elabbasy:
More Effective Criteria for Testing the Oscillation of Solutions of Third-Order Differential Equations. Axioms 13(3): 139 (2024) - [j112]Andrea Adriani, Davide Bianchi, Paola Ferrari, Stefano Serra-Capizzano:
Asymptotic spectra of large (grid) graphs with a uniform local structure, Part II: Numerical applications. J. Comput. Appl. Math. 437: 115461 (2024) - [j111]Pietro Benedusi, Paola Ferrari, Marie E. Rognes, Stefano Serra-Capizzano:
Modeling Excitable Cells with the EMI Equations: Spectral Analysis and Iterative Solution Strategy. J. Sci. Comput. 98(3): 58 (2024) - [j110]Sean Hon, Po Yin Fung, Jiamei Dong, Stefano Serra-Capizzano:
A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs. Numer. Algorithms 95(4): 1769-1799 (2024) - [j109]Mariarosa Mazza, Stefano Serra-Capizzano, Rosita Luisa Sormani:
Algebra preconditionings for 2D Riesz distributed-order space-fractional diffusion equations on convex domains. Numer. Linear Algebra Appl. 31(3) (2024) - [j108]Zhao-Li Shen, Bruno Carpentieri, Chun Wen, Jian-Jun Wang, Stefano Serra-Capizzano, Shiping Du:
Preconditioned weighted full orothogonalization method for solving singular linear systems from PageRank problems. Numer. Linear Algebra Appl. 31(3) (2024) - [j107]Manuel Bogoya, Sven-Erik Ekström, Stefano Serra-Capizzano, Paris Vassalos:
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. 31(4) (2024) - [j106]Manuel Bogoya, Sergei M. Grudsky, Stefano Serra-Capizzano:
Fast Non-Hermitian Toeplitz Eigenvalue Computations, Joining Matrixless Algorithms and FDE Approximation Matrices. SIAM J. Matrix Anal. Appl. 45(1): 284-305 (2024) - [j105]Ivo Dravins, Stefano Serra-Capizzano, Maya G. Neytcheva:
Spectral Analysis of Preconditioned Matrices Arising from Stage-Parallel Implicit Runge-Kutta Methods of Arbitrarily High Order. SIAM J. Matrix Anal. Appl. 45(2): 1007-1034 (2024) - [j104]Asma Al-Jaser, Belgees Qaraad, Faizah Alharbi, Stefano Serra-Capizzano:
New Monotonic Properties for Solutions of Odd-Order Advanced Nonlinear Differential Equations. Symmetry 16(7): 817 (2024) - 2023
- [j103]Rafael Díaz Fuentes, Stefano Serra-Capizzano, Rosita Luisa Sormani:
ω-Circulant Matrices: A Selection of Modern Applications from Preconditioning of Approximated PDEs to Subdivision Schemes. Algorithms 16(7): 328 (2023) - [j102]Sean Hon, Jiamei Dong, Stefano Serra-Capizzano:
A Preconditioned MINRES Method for Optimal Control of Wave Equations and its Asymptotic Spectral Distribution Theory. SIAM J. Matrix Anal. Appl. 44(4): 1477-1509 (2023) - 2022
- [j101]Mohammad Ayman Mursaleen, Stefano Serra-Capizzano:
Statistical Convergence via q-Calculus and a Korovkin's Type Approximation Theorem. Axioms 11(2): 70 (2022) - [j100]Manuel Bogoya, Sven-Erik Ekström, Stefano Serra-Capizzano:
Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory. Numer. Algorithms 91(4): 1653-1676 (2022) - [j99]Quoc Khanh Nguyen, Stefano Serra-Capizzano, Cristina Tablino Possio, Eddie Wadbro:
Spectral analysis of the finite element matrices approximating 2D linearly elastic structures and multigrid proposals. Numer. Linear Algebra Appl. 29(4) (2022) - 2021
- [j98]Pietro Benedusi, Paola Ferrari, Carlo Garoni, Rolf Krause, Stefano Serra-Capizzano:
Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation. J. Sci. Comput. 89(1): 20 (2021) - [j97]Paola Ferrari, Nikos Barakitis, Stefano Serra-Capizzano:
Asymptotic spectra of large matrices coming from the symmetrization of Toeplitz structure functions and applications to preconditioning. Numer. Linear Algebra Appl. 28(1) (2021) - [j96]Marco Donatelli, Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano, Debora Sesana:
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. Numer. Linear Algebra Appl. 28(4) (2021) - [j95]Mariarosa Mazza, Matteo Semplice, Stefano Serra-Capizzano, Elena Travaglia:
A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximations and a related spectrally based preconditioning approach. Numerische Mathematik 149(4): 933-971 (2021) - 2020
- [j94]Armando Coco, Matteo Semplice, Stefano Serra-Capizzano:
A level-set multigrid technique for nonlinear diffusion in the numerical simulation of marble degradation under chemical pollutants. Appl. Math. Comput. 386: 125503 (2020) - [j93]Sven-Erik Ekström, Stefano Serra-Capizzano:
Eigenpairs of some particular band Toeplitz matrices: A comment. Numer. Linear Algebra Appl. 27(1) (2020) - [j92]Giovanni Barbarino, Stefano Serra-Capizzano:
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. 27(3) (2020) - [j91]Ryma Imene Rahla, Stefano Serra-Capizzano, Cristina Tablino Possio:
Spectral analysis of ℙk Finite Element matrices in the case of Friedrichs-Keller triangulations via Generalized Locally Toeplitz technology. Numer. Linear Algebra Appl. 27(4) (2020) - [j90]Carlo Garoni, Carla Manni, Stefano Serra-Capizzano, Hendrik Speleers:
NURBS in isogeometric discretization methods: A spectral analysis. Numer. Linear Algebra Appl. 27(6) (2020) - [j89]Minghua Chen, Sven-Erik Ekström, Stefano Serra-Capizzano:
A Multigrid Method for Nonlocal Problems: Non-Diagonally Dominant or Toeplitz-Plus-Tridiagonal Systems. SIAM J. Matrix Anal. Appl. 41(4): 1546-1570 (2020) - 2019
- [j88]Marco Donatelli, Paola Novara, Lucia Romani, Stefano Serra-Capizzano, Debora Sesana:
A merged tuning of binary and ternary Loop's subdivision. Comput. Aided Geom. Des. 69: 27-44 (2019) - [j87]Mariarosa Mazza, Ahmed Ratnani, Stefano Serra-Capizzano:
Spectral analysis and spectral symbol for the 2D curl-curl (stabilized) operator with applications to the related iterative solutions. Math. Comput. 88(317): 1155-1188 (2019) - [j86]Paola Ferrari, Isabella Furci, Sean Hon, Mohammad Ayman Mursaleen, Stefano Serra-Capizzano:
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. 40(3): 1066-1086 (2019) - 2018
- [j85]Carlo Garoni, Mariarosa Mazza, Stefano Serra-Capizzano:
Block Generalized Locally Toeplitz Sequences: From the Theory to the Applications. Axioms 7(3): 49 (2018) - [j84]Sven-Erik Ekström, Carlo Garoni, Stefano Serra-Capizzano:
Are the Eigenvalues of Banded Symmetric Toeplitz Matrices Known in Almost Closed Form? Exp. Math. 27(4): 478-487 (2018) - [j83]Salima Kouser, Shafiq ur Réhman, Fayyaz Ahmad, Stefano Serra-Capizzano, Malik Zaka Ullah, Ali Saleh Alshomrani, Hani M. Aljahdali, Shamshad Ahmad, Shahid Ahmad:
Generalized newton multi-step iterative methods GMNp, m for solving system of nonlinear equations. Int. J. Comput. Math. 95(5): 881-897 (2018) - [j82]Minghua Chen, Weihua Deng, Stefano Serra-Capizzano:
Uniform Convergence of V-cycle Multigrid Algorithms for Two-Dimensional Fractional Feynman-Kac Equation. J. Sci. Comput. 74(2): 1034-1059 (2018) - [j81]Fayyaz Ahmad, Eman Salem Alaidarous, Dina Abdullah Alrehaili, Sven-Erik Ekström, Isabella Furci, Stefano Serra-Capizzano:
Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form? Numer. Algorithms 78(3): 867-893 (2018) - [j80]Michael Dumbser, Francesco Fambri, Isabella Furci, Mariarosa Mazza, Stefano Serra-Capizzano, Maurizio Tavelli:
Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: Spectral analysis and computational results. Numer. Linear Algebra Appl. 25(5) (2018) - [j79]Sven-Erik Ekström, Stefano Serra-Capizzano:
Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols. Numer. Linear Algebra Appl. 25(5) (2018) - [j78]Sven-Erik Ekström, Isabella Furci, Carlo Garoni, Carla Manni, Stefano Serra-Capizzano, Hendrik Speleers:
Are the eigenvalues of the B-spline isogeometric analysis approximation of -Δu = λu known in almost closed form? Numer. Linear Algebra Appl. 25(5) (2018) - [j77]Pietro Benedusi, Carlo Garoni, Rolf Krause, Xiaozhou Li, Stefano Serra-Capizzano:
Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol. SIAM J. Matrix Anal. Appl. 39(3): 1383-1420 (2018) - [j76]Marco Donatelli, Mariarosa Mazza, Stefano Serra-Capizzano:
Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations. SIAM J. Sci. Comput. 40(6): A4007-A4039 (2018) - 2017
- [j75]Fayyaz Ahmad, Fazlollah Soleymani, F. Khaksar Haghani, Stefano Serra-Capizzano:
Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations. Appl. Math. Comput. 314: 199-211 (2017) - [j74]Marco Donatelli, Ali Dorostkar, Mariarosa Mazza, Maya G. Neytcheva, Stefano Serra-Capizzano:
Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem. Comput. Math. Appl. 74(5): 1015-1028 (2017) - [j73]Carlo Garoni, Carla Manni, Stefano Serra-Capizzano, Debora Sesana, Hendrik Speleers:
Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods. Math. Comput. 86(305): 1343-1373 (2017) - [j72]Marco Donatelli, Carlo Garoni, Carla Manni, Stefano Serra-Capizzano, Hendrik Speleers:
Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis. SIAM J. Numer. Anal. 55(1): 31-62 (2017) - 2016
- [j71]Fayyaz Ahmad, Stefano Serra-Capizzano, Malik Zaka Ullah, A. S. Al-Fhaid:
A Family of Iterative Methods for Solving Systems of Nonlinear Equations Having Unknown Multiplicity. Algorithms 9(1): 5 (2016) - [j70]Uswah Qasim, Zulifqar Ali, Fayyaz Ahmad, Stefano Serra-Capizzano, Malik Zaka Ullah, Mir Asma:
Constructing Frozen Jacobian Iterative Methods for Solving Systems of Nonlinear Equations, Associated with ODEs and PDEs Using the Homotopy Method. Algorithms 9(1): 18 (2016) - [j69]Sabahat Qasim, Zulifqar Ali, Fayyaz Ahmad, Stefano Serra-Capizzano, Malik Zaka Ullah, Arshad Mahmood:
Solving systems of nonlinear equations when the nonlinearity is expensive. Comput. Math. Appl. 71(7): 1464-1478 (2016) - [j68]Marco Donatelli, Mariarosa Mazza, Stefano Serra-Capizzano:
Spectral analysis and structure preserving preconditioners for fractional diffusion equations. J. Comput. Phys. 307: 262-279 (2016) - [j67]Marco Donatelli, Carlo Garoni, Carla Manni, Stefano Serra-Capizzano, Hendrik Speleers:
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Math. Comput. 85(300): 1639-1680 (2016) - [j66]Marco Donatelli, Carlo Garoni, Mariarosa Mazza, Stefano Serra-Capizzano, Debora Sesana:
Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol. Numer. Linear Algebra Appl. 23(1): 83-119 (2016) - 2015
- [j65]Malik Zaka Ullah, Stefano Serra-Capizzano, Fayyaz Ahmad:
An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs. Appl. Math. Comput. 250: 249-259 (2015) - [j64]Malik Zaka Ullah, Stefano Serra-Capizzano, Fayyaz Ahmad, Eman Salem Alaidarous:
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. 269: 972-987 (2015) - [j63]Pietro Dell'Acqua, Antonio Frangioni, Stefano Serra-Capizzano:
Accelerated multigrid for graph Laplacian operators. Appl. Math. Comput. 270: 193-215 (2015) - [j62]Marco Donatelli, Carlo Garoni, Carla Manni, Stefano Serra-Capizzano, Hendrik Speleers:
Two-grid optimality for Galerkin linear systems based on B-splines. Comput. Vis. Sci. 17(3): 119-133 (2015) - [j61]Alessandro Russo, Stefano Serra-Capizzano, Cristina Tablino Possio:
Quasi-optimal preconditioners for finite element approximations of diffusion dominated convection-diffusion equations on (nearly) equilateral triangle meshes. Numer. Linear Algebra Appl. 22(1): 123-144 (2015) - [j60]Carlo Garoni, Stefano Serra-Capizzano, Debora Sesana:
Spectral Analysis and Spectral Symbol of d-variate $\mathbb Q_{\boldsymbol p}$ Lagrangian FEM Stiffness Matrices. SIAM J. Matrix Anal. Appl. 36(3): 1100-1128 (2015) - 2014
- [j59]Marco Donatelli, Carlo Garoni, Mariarosa Mazza, Stefano Serra-Capizzano, Debora Sesana:
Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol. Appl. Math. Comput. 245: 158-173 (2014) - [j58]Vincenza Del Prete, Fabio Di Benedetto, Marco Donatelli, Stefano Serra-Capizzano:
Symbol approach in a signal-restoration problem involving block Toeplitz matrices. J. Comput. Appl. Math. 272: 399-416 (2014) - [j57]A. S. Al-Fhaid, Stefano Serra-Capizzano, Debora Sesana, Malik Zaka Ullah:
Singular-value (and eigenvalue) distribution and Krylov preconditioning of sequences of sampling matrices approximating integral operators. Numer. Linear Algebra Appl. 21(6): 722-743 (2014) - [j56]Carlo Garoni, Carla Manni, Francesca Pelosi, Stefano Serra-Capizzano, Hendrik Speleers:
On the spectrum of stiffness matrices arising from isogeometric analysis. Numerische Mathematik 127(4): 751-799 (2014) - 2012
- [j55]Claudio Estatico, Eric Ngondiep, Stefano Serra-Capizzano, Debora Sesana:
A note on the (regularizing) preconditioning of g-Toeplitz sequences via g-circulants. J. Comput. Appl. Math. 236(8): 2090-2111 (2012) - [j54]Roberto Cavoretto, Alessandra De Rossi, Marco Donatelli, Stefano Serra-Capizzano:
Spectral analysis and preconditioning techniques for radial basis function collocation matrices. Numer. Linear Algebra Appl. 19(1): 31-52 (2012) - [j53]Zheng-Jian Bai, Stefano Serra-Capizzano, Zhi Zhao:
Nonnegative inverse eigenvalue problems with partial eigendata. Numerische Mathematik 120(3): 387-431 (2012) - 2011
- [j52]Zheng-Jian Bai, Marco Donatelli, Stefano Serra-Capizzano:
Fast Preconditioners for Total Variation Deblurring with Antireflective Boundary Conditions. SIAM J. Matrix Anal. Appl. 32(3): 785-805 (2011) - [j51]Marco Donatelli, Matteo Semplice, Stefano Serra-Capizzano:
Analysis of Multigrid Preconditioning for Implicit PDE Solvers for Degenerate Parabolic Equations. SIAM J. Matrix Anal. Appl. 32(4): 1125-1148 (2011) - 2010
- [j50]Stefano Serra-Capizzano, Cristina Tablino Possio:
A note on algebraic multigrid methods for the discrete weighted Laplacian. Comput. Math. Appl. 60(5): 1290-1298 (2010) - [j49]Michael W. Berry, Dario Andrea Bini, Nicola Mastronardi, Stefano Serra-Capizzano:
Preface. J. Comput. Appl. Math. 234(11): 3073-3074 (2010) - [j48]Antonio Cicone, Stefano Serra-Capizzano:
Google PageRanking problem: The model and the analysis. J. Comput. Appl. Math. 234(11): 3140-3169 (2010) - [j47]Marco Donatelli, Stefano Serra-Capizzano:
Antireflective Boundary Conditions for Deblurring Problems. J. Electr. Comput. Eng. 2010: 241467:1-241467:18 (2010) - [j46]Eric Ngondiep, Stefano Serra-Capizzano, Debora Sesana:
Spectral Features and Asymptotic Properties for g-Circulants and g-Toeplitz Sequences. SIAM J. Matrix Anal. Appl. 31(4): 1663-1687 (2010) - 2007
- [j45]Roger A. Horn, Stefano Serra-Capizzano:
A General Setting for the Parametric Google Matrix. Internet Math. 3(4): 385-411 (2007) - [j44]Leonid Golinskii, Stefano Serra-Capizzano:
The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences. J. Approx. Theory 144(1): 84-102 (2007) - [j43]Stefano Serra-Capizzano:
Simplification of a result on banded Toeplitz matrices and BVM methods. Numerische Mathematik 107(1): 175-179 (2007) - [j42]Bernhard Beckermann, Stefano Serra-Capizzano:
On the Asymptotic Spectrum of Finite Element Matrix Sequences. SIAM J. Numer. Anal. 45(2): 746-769 (2007) - 2006
- [j41]Dimitrios Noutsos, Stefano Serra-Capizzano, Paraskevas Vassalos:
Block band Toeplitz preconditioners derived from generating function approximations: analysis and applications. Numerische Mathematik 104(3): 339-376 (2006) - [j40]Daniele Bertaccini, Gene H. Golub, Stefano Serra-Capizzano:
Spectral Analysis of a Preconditioned Iterative Method for the Convection-Diffusion Equation. SIAM J. Matrix Anal. Appl. 29(1): 260-278 (2006) - [j39]Marco Donatelli, Stefano Serra-Capizzano:
On the Regularizing Power of Multigrid-type Algorithms. SIAM J. Sci. Comput. 27(6): 2053-2076 (2006) - [j38]Dimitrios Noutsos, Stefano Serra-Capizzano, Paraskevas Vassalos:
Two-level Toeplitz preconditioning: approximation results for matrices and functions. SIAM J. Sci. Comput. 28(2): 439-458 (2006) - 2005
- [j37]Antonio Aricò, Stefano Serra-Capizzano, Manfred Tasche:
Fast and numerically stable algorithms for discrete Hartley transforms and applications to preconditioning. Commun. Inf. Syst. 5(1): 21-68 (2005) - [j36]Thomas Huckle, Stefano Serra-Capizzano, Cristina Tablino Possio:
Preconditioning strategies for non-Hermitian Toeplitz linear systems. Numer. Linear Algebra Appl. 12(2-3): 211-220 (2005) - [j35]Dimitrios Noutsos, Stefano Serra-Capizzano, Paraskevas Vassalos:
A preconditioning proposal for ill-conditioned Hermitian two-level Toeplitz systems. Numer. Linear Algebra Appl. 12(2-3): 231-239 (2005) - [j34]R. H. Chan, Stefano Serra-Capizzano, Cristina Tablino Possio:
Two-grid methods for banded linear systems from DCT III algebra. Numer. Linear Algebra Appl. 12(2-3): 241-249 (2005) - [j33]Michael K. Ng, Stefano Serra-Capizzano, Cristina Tablino Possio:
Numerical behaviour of multigrid methods for symmetric Sinc-Galerkin systems. Numer. Linear Algebra Appl. 12(2-3): 261-269 (2005) - [j32]Daniele Bertaccini, Gene H. Golub, Stefano Serra-Capizzano, Cristina Tablino Possio:
Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Numerische Mathematik 99(3): 441-484 (2005) - [j31]Stefano Serra-Capizzano, Daniele Bertaccini, Gene H. Golub:
How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case. SIAM J. Matrix Anal. Appl. 27(1): 82-86 (2005) - [j30]Stefano Serra-Capizzano:
Jordan Canonical Form of the Google Matrix: A Potential Contribution to the PageRank Computation. SIAM J. Matrix Anal. Appl. 27(2): 305-312 (2005) - [j29]Fabio Di Benedetto, Claudio Estatico, Stefano Serra-Capizzano:
Superoptimal Preconditioned Conjugate Gradient Iteration for Image Deblurring. SIAM J. Sci. Comput. 26(3): 1012-1035 (2005) - 2004
- [j28]Thomas Huckle, Stefano Serra-Capizzano:
The Spectra of Preconditioned Toeplitz Matrix Sequences Can Have Gaps. SIAM J. Matrix Anal. Appl. 25(4): 930-946 (2004) - [j27]Antonio Aricò, Marco Donatelli, Stefano Serra-Capizzano:
V-cycle Optimal Convergence for Certain (Multilevel) Structured Linear Systems. SIAM J. Matrix Anal. Appl. 26(1): 186-214 (2004) - [j26]Stefano Serra-Capizzano:
A Note on Antireflective Boundary Conditions and Fast Deblurring Models. SIAM J. Sci. Comput. 25(4): 1307-1325 (2004) - [j25]Thomas Huckle, Stefano Serra-Capizzano, Cristina Tablino Possio:
Preconditioning Strategies for Hermitian Indefinite Toeplitz Linear Systems. SIAM J. Sci. Comput. 25(5): 1633-1654 (2004) - [j24]Stefano Serra-Capizzano, Cristina Tablino Possio:
Multigrid Methods for Multilevel Circulant Matrices. SIAM J. Sci. Comput. 26(1): 55-85 (2004) - [j23]Dimitrios Noutsos, Stefano Serra-Capizzano, Paraskevas Vassalos:
Matrix algebra preconditioners for multilevel Toeplitz systems do not insure optimal convergence rate. Theor. Comput. Sci. 315(2-3): 557-579 (2004) - 2003
- [j22]Stefano Serra-Capizzano, Eugene E. Tyrtyshnikov:
How to prove that a preconditioner cannot be superlinear. Math. Comput. 72(243): 1305-1316 (2003) - [j21]Stefano Serra-Capizzano:
Practical Band Toeplitz Preconditioning and Boundary Layer Effects. Numer. Algorithms 34(2-4): 427-440 (2003) - [j20]Milan Hladnik, John Holbrook, Stefano Serra-Capizzano:
Fat Diagonals and Fourier Analysis. SIAM J. Matrix Anal. Appl. 24(4): 1060-1070 (2003) - [j19]Stefano Serra-Capizzano, Cristina Tablino Possio:
Superlinear Preconditioners for Finite Differences Linear Systems. SIAM J. Matrix Anal. Appl. 25(1): 152-164 (2003) - 2002
- [j18]Stefano Serra-Capizzano:
Convergence analysis of two-grid methods for elliptic Toeplitz and PDEs Matrix-sequences. Numerische Mathematik 92(3): 433-465 (2002) - 2001
- [j17]Arno B. J. Kuijlaars, Stefano Serra-Capizzano:
Asymptotic Zero Distribution of Orthogonal Polynomials with Discontinuously Varying Recurrence Coefficients. J. Approx. Theory 113(1): 142-155 (2001) - [j16]Stefano Serra-Capizzano, Cristina Tablino Possio:
Finite Element Matrix Sequences: the Case of Rectangular Domains. Numer. Algorithms 28(1-4): 309-327 (2001) - [j15]Antonio Frangioni, Stefano Serra-Capizzano:
Spectral Analysis of (Sequences of) Graph Matrices. SIAM J. Matrix Anal. Appl. 23(2): 339-348 (2001) - 2000
- [j14]Stefano Serra-Capizzano:
Korovkin tests, approximation, and ergodic theory. Math. Comput. 69(232): 1533-1558 (2000) - [j13]Stefano Serra-Capizzano, Cristina Tablino Possio:
Constructive techniques for approximating collocation linear systems. Numer. Algorithms 25(1-4): 323-339 (2000) - [j12]Stefano Serra-Capizzano, Eugene E. Tyrtyshnikov:
Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear. SIAM J. Matrix Anal. Appl. 21(2): 431-439 (2000) - [j11]Stefano Serra-Capizzano:
Locally X Matrices, Spectral Distributions, Preconditioning, and Applications. SIAM J. Matrix Anal. Appl. 21(4): 1354-1388 (2000) - 1999
- [j10]Stefano Serra:
Superlinear PCG methods for symmetric Toeplitz systems. Math. Comput. 68(226): 793-803 (1999) - [j9]Stefano Serra:
The rate of convergence of Toeplitz based PCG methods for second order nonlinear boundary value problems. Numerische Mathematik 81(3): 461-495 (1999) - [j8]Fabio Di Benedetto, Stefano Serra-Capizzano:
A unifying approach to abstract matrix algebra preconditioning. Numerische Mathematik 82(1): 57-90 (1999) - [j7]Stefano Serra:
A Korovkin-type theory for finite Toeplitz operators via matrix algebras. Numerische Mathematik 82(1): 117-142 (1999) - [j6]Stefano Serra, Cristina Tablino Possio:
Analytical Analysis of the Gavrilov-Guckenheimer Bifurcation Unfolding in the Case of a Proportional-Integral Controlled CSTR. SIAM J. Appl. Math. 59(5): 1716-1744 (1999) - 1998
- [j5]Stefano Serra:
Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices. SIAM J. Matrix Anal. Appl. 20(1): 31-44 (1998) - [j4]Stefano Serra-Capizzano:
Toeplitz Preconditioners Constructed from Linear Approximation Processes. SIAM J. Matrix Anal. Appl. 20(2): 446-465 (1998) - 1997
- [j3]Stefano Serra:
Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems. Math. Comput. 66(218): 651-665 (1997) - 1996
- [j2]Stefano Serra:
Preconditioning Strategies for Hermitian Toeplitz Systems with Nondefinite Generating Functions. SIAM J. Matrix Anal. Appl. 17(4): 1007-1019 (1996) - [j1]Giuseppe Fiorentino, Stefano Serra:
Multigrid Methods for Symmetric Positive Definite Block Toeplitz Matrices with Nonnegative Generating Functions. SIAM J. Sci. Comput. 17(5): 1068-1081 (1996)
Conference and Workshop Papers
- 2023
- [c8]Stefano Serra-Capizzano, Rosita Luisa Sormani, Cristina Tablino Possio:
Two-Dimensional Semi-linear Riesz Space Fractional Diffusion Equations in Convex Domains: GLT Spectral Analysis and Multigrid Solvers. LSSC 2023: 52-60 - 2019
- [c7]Alberto Scionti, Jan Martinovic, Olivier Terzo, Etienne Walter, Marc Levrier, Stephan Hachinger, Donato Magarielli, Thierry Goubier, Stéphane Louise, Antonio Parodi, Sean Murphy, Carmine D'Amico, Simone Ciccia, Emanuele Danovaro, Martina Lagasio, Frédéric Donnat, Martin Golasowski, Tiago Quintino, James Nicholas Hawkes, Tomás Martinovic, Lubomir Riha, Katerina Slaninová, Stefano Serra, Roberto Peveri:
HPC, Cloud and Big-Data Convergent Architectures: The LEXIS Approach. CISIS 2019: 200-212 - 2015
- [c6]Ali Dorostkar, Maya G. Neytcheva, Stefano Serra-Capizzano:
Schur Complement Matrix and Its (Elementwise) Approximation: A Spectral Analysis Based on GLT Sequences. LSSC 2015: 419-426 - 2007
- [c5]William Bobillet, Éric Grivel, Ioana Serban, Stefano Serra-Capizzano:
Frequency domain errors-in-variables approach for two-channel SIMO system identification. EUSIPCO 2007: 520-524 - 2004
- [c4]Sandro Morasca, Stefano Serra-Capizzano:
On the analytical comparison of testing techniques. ISSTA 2004: 154-164 - 2000
- [c3]Stefano Serra-Capizzano, Cristina Tablino Possio:
Preliminary Remarks on Multigrid Methods for Circulant Matrices. NAA 2000: 152-159 - 1999
- [c2]Stefano Serra-Capizzano, Cristina Tablino Possio:
Preliminary Remarks on Preconditioning Strategies for 2D Collocation Linear Systems. LSSC 1999: 94-101 - 1996
- [c1]Stefano Serra:
The Effectiveness of Band-Toeplitz Preconditioners: A Survey. WNAA 1996: 422-429
Informal and Other Publications
- 2024
- [i33]Andrea Adriani, Rosita Luisa Sormani, Cristina Tablino Possio, Rolf Krause, Stefano Serra-Capizzano:
Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with Caputo fractional Laplacian and variable coefficient wave number μ. CoRR abs/2402.10569 (2024) - [i32]Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano:
Flipped structured matrix-sequences in image deblurring with general boundary conditions. CoRR abs/2402.12059 (2024) - [i31]Danyal Ahmad, Marco Donatelli, Mariarosa Mazza, Stefano Serra-Capizzano, Ken Trotti:
A note on the convergence of multigrid methods for the Riesz-space equation and an application to image deblurring. CoRR abs/2403.16352 (2024) - [i30]Zi-Hang She, Xue Zhang, Xian-Ming Gu, Stefano Serra-Capizzano:
On τ-preconditioners for a quasi-compact difference scheme to Riesz fractional diffusion equations with variable coefficients. CoRR abs/2404.10221 (2024) - [i29]Andrea Adriani, Alec Schiavoni Piazza, Stefano Serra-Capizzano, Cristina Tablino Possio:
Can the a.c.s. notion and the GLT theory handle approximated PDEs/FDEs with either moving or unbounded domains? CoRR abs/2405.20150 (2024) - [i28]Nikos Barakitis, Valerio Loi, Stefano Serra-Capizzano:
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 abs/2407.00792 (2024) - 2023
- [i27]Ivo Dravins, Stefano Serra-Capizzano, Maya G. Neytcheva:
Fine spectral analysis of preconditioned matrices and matrix-sequences arising from stage-parallel implicit Runge-Kutta methods of arbitrarily high order. CoRR abs/2302.04657 (2023) - [i26]Sean Hon, Jiamei Dong, Stefano Serra-Capizzano:
A preconditioned MINRES method for optimal control of wave equations and its asymptotic spectral distribution theory. CoRR abs/2307.12850 (2023) - [i25]Pietro Benedusi, Paola Ferrari, Marie E. Rognes, Stefano Serra-Capizzano:
Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy. CoRR abs/2308.12145 (2023) - [i24]Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni, David Meadon, Stefano Serra-Capizzano, Paris Vassalos:
From asymptotic distribution and vague convergence to uniform convergence, with numerical applications. CoRR abs/2309.03662 (2023) - [i23]Ludovico Bruni Bruno, Matteo Semplice, Stefano Serra-Capizzano:
The numerical linear algebra of weights: from the spectral analysis to conditioning and preconditioning in the Laplacian case. CoRR abs/2311.01467 (2023) - [i22]Alec Schiavoni Piazza, David Meadon, Stefano Serra-Capizzano:
The β maps and the strong clustering at the complex unit circle. CoRR abs/2311.12568 (2023) - [i21]Giovanni Barbarino, Sven-Erik Ekström, Carlo Garoni, David Meadon, Stefano Serra-Capizzano, Paris Vassalos:
Spectral properties of flipped Toeplitz matrices. CoRR abs/2312.06170 (2023) - [i20]Ercília Sousa, Cristina Tablino Possio, Rolf Krause, Stefano Serra-Capizzano:
Nonlocal problems with anti-symmetric and anti-reflective boundary conditions: a computational analysis and numerical comparisons. CoRR abs/2312.16485 (2023) - 2022
- [i19]Manuel Bogoya, Sven-Erik Ekström, Stefano Serra-Capizzano:
Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory. CoRR abs/2201.02024 (2022) - [i18]Sean Hon, Stefano Serra-Capizzano:
A sine transform based preconditioned MINRES method for all-at-once systems from evolutionary partial differential equations. CoRR abs/2201.10062 (2022) - [i17]Giovanni Barbarino, Carlo Garoni, Mariarosa Mazza, Stefano Serra-Capizzano:
Rectangular GLT Sequences. CoRR abs/2202.00312 (2022) - [i16]Matthias Bolten, Sven-Erik Ekström, Isabella Furci, Stefano Serra-Capizzano:
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 abs/2202.05555 (2022) - [i15]Minghua Chen, Rongjun Cao, Stefano Serra-Capizzano:
Fast algebraic multigrid for block-structured dense and Toeplitz-like-plus-Cross systems arising from nonlocal diffusion problems. CoRR abs/2202.11288 (2022) - [i14]Sven-Erik Ekström, Stefano Serra-Capizzano, Paris Vassalos:
A note on the eigenvalues, singular values, and eigenvectors of Toeplitz and Hankel matrices. CoRR abs/2203.06992 (2022) - [i13]Danyal Ahmad, Marco Donatelli, Mariarosa Mazza, Stefano Serra-Capizzano, Ken Trotti:
A smoothing analysis for multigrid methods applied to tempered fractional problems. CoRR abs/2210.05031 (2022) - [i12]Manuel Bogoya, Sergei M. Grudsky, Stefano Serra-Capizzano:
Fast non-Hermitian Toeplitz eigenvalue computations, joining matrix-less algorithms and FDE approximation matrices. CoRR abs/2211.15506 (2022) - 2021
- [i11]Mariarosa Mazza, Matteo Semplice, Stefano Serra-Capizzano, Elena Travaglia:
A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximation and related solvers. CoRR abs/2103.11913 (2021) - [i10]Armando Coco, Sven-Erik Ekström, Giovanni Russo, Stefano Serra-Capizzano, Santina Chiara Stissi:
Spectral and norm estimates for matrix sequences arising from a finite difference approximation of elliptic operators. CoRR abs/2108.09086 (2021) - [i9]Antonio Cicone, Stefano Serra-Capizzano, Haomin Zhou:
One or two frequencies? The Iterative Filtering answers. CoRR abs/2111.11741 (2021) - [i8]Andrea Adriani, Davide Bianchi, Paola Ferrari, Stefano Serra-Capizzano:
Asymptotic spectra of large (grid) graphs with a uniform local structure (part II): numerical applications. CoRR abs/2111.13859 (2021) - [i7]Manuel Bogoya, Sergei M. Grudsky, Stefano Serra-Capizzano, Cristina Tablino Possio:
Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. CoRR abs/2112.02681 (2021) - [i6]Manuel Bogoya, Sergei M. Grudsky, Mariarosa Mazza, Stefano Serra-Capizzano:
On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems. CoRR abs/2112.02685 (2021) - [i5]Manuel Bogoya, Stefano Serra-Capizzano:
Eigenvalue superposition expansion for Toeplitz matrix-sequences, generated by linear combinations of matrix-order dependent symbols, and applications to fast eigenvalue computations. CoRR abs/2112.11794 (2021) - 2020
- [i4]Andrea Adriani, Davide Bianchi, Stefano Serra-Capizzano:
Asymptotic spectra of large (grid) graphs with a uniform local structure. CoRR abs/2002.00463 (2020) - [i3]Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano:
Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix-sequences. CoRR abs/2011.10835 (2020) - 2019
- [i2]Marco Donatelli, Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano, Debora Sesana:
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. CoRR abs/1910.13792 (2019) - 2007
- [i1]Stefano Serra-Capizzano:
Google Pageranking Problem: The Model and the Analysis. Web Information Retrieval and Linear Algebra Algorithms 2007
Coauthor Index
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