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Stefano Serra-Capizzano
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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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2020 – today
- 2025
- [i37]Nikos Barakitis, Marco Donatelli, Samuele Ferri, Valerio Loi, Stefano Serra-Capizzano, Rosita Luisa Sormani:
Blocking structures, approximation, and preconditioning. CoRR abs/2501.14874 (2025) - 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) - [i36]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) - [i35]Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano:
Flipped structured matrix-sequences in image deblurring with general boundary conditions. CoRR abs/2402.12059 (2024) - [i34]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) - [i33]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) - [i32]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) - [i31]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) - [i30]Isabella Furci, Andrea Adriani, Stefano Serra-Capizzano:
Block structured matrix-sequences and their spectral and singular value canonical distributions: a general theory. CoRR abs/2409.06465 (2024) - [i29]Pietro Benedusi
, Paola Ferrari, Marius Causemann, Stefano Serra-Capizzano:
Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning. CoRR abs/2409.13432 (2024) - [i28]Sean Y. Hon, Congcong Li, Rosita Luisa Sormani, Rolf Krause, Stefano Serra-Capizzano:
Symbol-based multilevel block τ preconditioners for multilevel block Toeplitz systems: GLT-based analysis and applications. CoRR abs/2409.20363 (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) - [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 - [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
- [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) - [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
- [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) - [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
- [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) - [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)
2010 – 2019
- 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) - [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 - [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) - 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) - [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 - 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)
2000 – 2009
- 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) - [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 - [i1]Stefano Serra-Capizzano:
Google Pageranking Problem: The Model and the Analysis. Web Information Retrieval and Linear Algebra Algorithms 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) - [c4]Sandro Morasca, Stefano Serra-Capizzano:
On the analytical comparison of testing techniques. ISSTA 2004: 154-164 - 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) - [c3]Stefano Serra-Capizzano, Cristina Tablino Possio:
Preliminary Remarks on Multigrid Methods for Circulant Matrices. NAA 2000: 152-159
1990 – 1999
- 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) - [c2]Stefano Serra-Capizzano, Cristina Tablino Possio:
Preliminary Remarks on Preconditioning Strategies for 2D Collocation Linear Systems. LSSC 1999: 94-101 - 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) - [c1]Stefano Serra:
The Effectiveness of Band-Toeplitz Preconditioners: A Survey. WNAA 1996: 422-429
Coauthor Index

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