Edit Profile (opens in new tab) Serra-Capizzano, Stefano Co-Author Distance Author ID: serra-capizzano.stefano Published as: Serra-Capizzano, Stefano; Serra Capizzano, Stefano; Serra, Stefano; Serra-Capizzano, S.; Serra Capizzano, S.; Capizzano, Stefano Serra; Capizzano, S. Serra more...less Homepage: http://scienze-como.uninsubria.it/serra/index-2.html External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef Documents Indexed: 232 Publications since 1991, including 2 Books 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 2 Reviews Co-Authors: 123 Co-Authors with 194 Joint Publications 2,791 Co-Co-Authors all top 5 Co-Authors 42 single-authored 39 Donatelli, Marco 33 Garoni, Carlo 26 Tablino Possio, Cristina 20 Sesana, Debora 13 Mazza, Mariarosa 12 Ekstrom, Sven-Erik 12 Manni, Carla 12 Speleers, Hendrik 9 Furci, Isabella 9 Vassalos, Paris 8 Ahmad, Fayyaz 8 Noutsos, Dimitrios 7 Costabile, Francesco Aldo 7 Gualtieri, Maria Italia 7 Ullah, Malik Zaka 6 Aricò, Antonio 6 Di Benedetto, Fabio 5 Estatico, Claudio 5 Ferrari, Paola 5 Fiorentino, Giuseppe 5 Neytcheva, Maya G. 4 Barbarino, Giovanni 4 Bertaccini, Daniele 4 Hon, Sean Y. 4 Semplice, Matteo 3 Bai, Zhengjian 3 Bianchi, Davide 3 Bogoya, Manuel 3 Cicone, Antonio 3 Dell’Acqua, Pietro 3 Dorostkar, Ali 3 Frangioni, Antonio 3 Golub, Gene Howard 3 Huckle, Thomas Kilian 3 Namboodiri, M. N. N. 3 Tyrtyshnikov, Evgeniĭ Evgen’evich 2 Al-Fhaid, Abdulrahman S. 2 Ali, Zulifqar 2 Benedusi, Pietro 2 Bolten, Matthias 2 Cavoretto, Roberto 2 Chen, Minghua 2 Coco, Armando 2 De Rossi, Alessandra 2 Golinskii, Leonid Borisovich 2 Krause, Rolf H. 2 Mursaleen, Mohammad Ayman 2 Ng, Michael Kwok-Po 2 Ngondiep, Eric 2 Ratnani, Ahmed 2 Sundqvist, Per 2 Tilli, Paolo 2 Wadbro, Eddie 1 Aceto, Lidia 1 Adriani, Andrea 1 Ahmad, Shahid 1 Ahmad, Shamshad 1 Al-Aidarous, Eman Salem 1 Aljahdali, Hani Moaiteq 1 Alrehaili, Dina Abdullah 1 Alshomrani, Ali Saleh 1 Asma, Mir 1 Barakitis, Nikos 1 Beckermann, Bernhard 1 Berry, Michael W. 1 Bini, Dario Andrea 1 Böttcher, Albrecht 1 Brezinski, Claude 1 Buccini, Alessandro 1 Cassani, Daniele 1 Chan, Raymond Hon-Fu 1 del Prete, Vincenza Mauceri 1 Dell’Accio, Francesco 1 Deng, Weihua 1 Dumbser, Michael 1 Durastante, Fabio 1 Fambri, Francesco 1 Fasino, Dario 1 Grudsky, Sergei Mikhailovich 1 Guglielmi, Nicola 1 He, Xin 1 Hladnik, Milan 1 Holbrook, John A. R. 1 Holmgren, Sverker 1 Horn, Roger Alan 1 Khaksar Haghani, F. 1 Kouser, Salima 1 Kovačec, Alexander 1 Kuijlaars, Arno B. J. 1 Kunoth, Angela 1 Li, Xiaozhou 1 Lyche, Tom 1 Mahmood, Arshad 1 Martinelli, Andrea 1 Mastronardi, Nicola 1 Molteni, Matteo 1 Morozov, Sergey 1 Nagy, James Gerard 1 Nguyen, Quoc Khanh 1 Novara, Paola ...and 26 more Co-Authors all top 5 Serials 28 Linear Algebra and its Applications 20 SIAM Journal on Matrix Analysis and Applications 18 Numerical Linear Algebra with Applications 12 Calcolo 11 ETNA. Electronic Transactions on Numerical Analysis 10 Numerische Mathematik 9 Computers & Mathematics with Applications 9 BIT 8 SIAM Journal on Scientific Computing 7 Mathematics of Computation 7 Journal of Computational and Applied Mathematics 6 Applied Mathematics and Computation 5 Computer Methods in Applied Mechanics and Engineering 5 Numerical Algorithms 4 SIAM Journal on Numerical Analysis 3 Inverse Problems 3 Applied Numerical Mathematics 2 Journal of Mathematical Analysis and Applications 2 Linear and Multilinear Algebra 2 Journal of Approximation Theory 2 Journal of Scientific Computing 2 ELA. The Electronic Journal of Linear Algebra 2 Bollettino dell’Unione Matematica Italiana. Series IX 2 Algorithms 1 Journal of Computational Physics 1 Studia Mathematica 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Integral Equations and Operator Theory 1 Numerical Functional Analysis and Optimization 1 Theoretical Computer Science 1 Computer Aided Geometric Design 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Experimental Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Computing and Visualization in Science 1 Journal of Inequalities and Applications 1 The Asian Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 The ANZIAM Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Information and Systems 1 Milan Journal of Mathematics 1 Internet Mathematics 1 Mediterranean Journal of Mathematics 1 Lecture Notes in Mathematics 1 Operators and Matrices 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Journal of Electrical and Computer Engineering 1 Axioms 1 Springer INdAM Series 1 Special Matrices all top 5 Fields 198 Numerical analysis (65-XX) 111 Linear and multilinear algebra; matrix theory (15-XX) 56 Partial differential equations (35-XX) 35 Operator theory (47-XX) 16 Approximations and expansions (41-XX) 16 Information and communication theory, circuits (94-XX) 9 Ordinary differential equations (34-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Computer science (68-XX) 5 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 205 Publications have been cited 2,729 times in 806 Documents Cited by ▼ Year ▼ Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations. Zbl 1028.65109Serra Capizzano, Stefano 84 2003 Spectral analysis and structure preserving preconditioners for fractional diffusion equations. Zbl 1352.65305Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano 83 2016 Generalized locally Toeplitz sequences: theory and applications. Volume I. Zbl 1376.15002Garoni, Carlo; Serra-Capizzano, Stefano 78 2017 The GLT class as a generalized Fourier analysis and applications. Zbl 1109.65032Serra-Capizzano, Stefano 68 2006 A note on antireflective boundary conditions and fast deblurring models. Zbl 1062.65152Serra Capizzano, Stefano 65 2003 On the extreme eigenvalues of Hermitian (block) Toeplitz matrices. Zbl 0892.15014Serra, Stefano 63 1998 Any circulant-like preconditioner for multilevel matrices is not superlinear. Zbl 0952.65037Serra Capizzano, Stefano; Tyrtyshnikov, E. 55 1999 C. G. preconditioning for Toeplitz matrices. Zbl 0782.65063Di Benedetto, Fabio; Fiorentino, Giuseppe; Serra, Stefano 49 1993 V-cycle optimal convergence for certain (multilevel) structured linear systems. Zbl 1105.65322Aricò, Antonio; Donatelli, M.; Serra Capizzano, Stefano 48 2004 Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation. Zbl 1068.65041Bertaccini, Daniele; Golub, Gene H.; Serra Capizzano, Stefano; Tablino Possio, Cristina 47 2005 Preconditioning strategies for asymptotically ill-conditioned block Toeplitz systems. Zbl 0823.65030Serra, Stefano 47 1994 Multigrid methods for Toeplitz matrices. Zbl 0778.65021Fiorentino, Giuseppe; Serra, Stefano 46 1991 Multigrid methods for symmetric positive definite block Toeplitz matrices with nonnegative generating functions. Zbl 0858.65039Fiorentino, Giuseppe; Serra, Stefano 44 1996 The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences. Zbl 1111.15013Golinskii, Leonid; Serra-Capizzano, Stefano 41 2007 Robust and optimal multi-iterative techniques for Iga Galerkin linear systems. Zbl 1425.65136Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 40 2015 Convergence analysis of two-grid methods for elliptic Toeplitz and PDEs matrix-sequences. Zbl 1013.65026Serra Capizzano, Stefano 38 2002 Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. Zbl 1355.65153Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 38 2017 Distribution results on the algebra generated by Toeplitz sequences: A finite-dimensional approach. Zbl 1003.15008Serra Capizzano, Stefano 37 2001 Optimal, quasi-optimal and superlinear band-Toeplitz preconditioners for asymptotically ill-conditioned positive definite Toeplitz systems. Zbl 0864.65019Serra, Stefano 36 1997 Superlinear PCG methods for symmetric Toeplitz systems. Zbl 1043.65066Serra, Stefano 35 1999 On the spectrum of stiffness matrices arising from isogeometric analysis. Zbl 1298.65172Garoni, Carlo; Manni, Carla; Pelosi, Francesca; Serra-Capizzano, Stefano; Speleers, Hendrik 34 2014 Generalized locally Toeplitz sequences: theory and applications. Volume II. Zbl 1448.47004Garoni, Carlo; Serra-Capizzano, Stefano 34 2018 A Korovkin-type theory for finite Toeplitz operators via matrix algebras. Zbl 0930.65024Serra, Stefano 31 1999 Improved image deblurring with anti-reflective boundary conditions and re-blurring. Zbl 1167.65474Donatelli, M.; Estatico, C.; Martinelli, A.; Serra-Capizzano, S. 29 2006 Jordan canonical form of the Google matrix: a potential contribution to the PageRank computation. Zbl 1103.65051Serra-Capizzano, Stefano 28 2005 On the asymptotic spectrum of finite element matrix sequences. Zbl 1140.65080Beckermann, Bernhard; Serra-Capizzano, Stefano 28 2007 Asymptotic results on the spectra of block Toeplitz preconditioned matrices. Zbl 0932.65037Serra, Stefano 27 1998 A unifying approach to abstract matrix algebra preconditioning. Zbl 0930.65050Di Benedetto, Fabio; Serra Capizzano, Stefano 27 1999 On unitarily invariant norms of matrix-valued linear positive operators. Zbl 1055.15039Serra Capizzano, Stefano; Tilli, Paolo 27 2002 Spectral analysis and spectral symbol of \(d\)-variate \(\mathbb Q_{\boldsymbol p}\) Lagrangian FEM stiffness matrices. Zbl 1321.65173Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora 25 2015 Matrix algebra preconditioners for multilevel Toeplitz systems do not insure optimal convergence rate. Zbl 1059.65041Noutsos, D.; Serra Capizzano, Stefano; Vassalos, P. 25 2004 Robust and optimal multi-iterative techniques for Iga collocation linear systems. Zbl 1425.65196Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 25 2015 Spectral features and asymptotic properties for \(g\)-circulants and \(g\)-Toeplitz sequences. Zbl 1206.15010Ngondiep, Eric; Serra-Capizzano, Stefano; Sesana, Debora 25 2010 Spectral behavior of matrix sequences and discretized boundary value problems. Zbl 1004.15012Serra Capizzano, Stefano 24 2001 Multi-iterative methods. Zbl 0790.65025Serra, Stefano 23 1993 Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices. Zbl 0937.15013Serra Capizzano, Stefano; Tilli, Paolo 23 1999 On the extreme spectral properties of Toeplitz matrices generated by \(L^ 1\) functions with several minima/maxima. Zbl 0851.15008Serra, Stefano 22 1996 Toeplitz preconditioners constructed from linear approximation processes. Zbl 0919.65031Serra Capizzano, Stefano 22 1998 Spectral and structural analysis of high precision finite difference matrices for elliptic operators. Zbl 0940.65113Serra Capizzano, Stefano; Tablino Possio, Cristina 22 1999 Spectral analysis and multigrid methods for finite volume approximations of space-fractional diffusion equations. Zbl 1405.65161Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano 21 2018 Anti-reflective boundary conditions and re-blurring. Zbl 1088.94510Donatelli, M.; Serra-Capizzano, S. 20 2005 Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Zbl 1335.65096Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 20 2016 Asymptotic zero distribution of orthogonal polynomials with discontinuously varying recurrence coefficients. Zbl 0990.42008Kuijlaars, A. B. J.; Serra Capizzano, Stefano 20 2001 Iterated fractional Tikhonov regularization. Zbl 1434.65081Bianchi, Davide; Buccini, Alessandro; Donatelli, Marco; Serra-Capizzano, Stefano 20 2015 Spectral and computational analysis of block Toeplitz matrices having nonnegative definite matrix-valued generating functions. Zbl 0917.65031Serra, Stefano 20 1999 Multigrid methods for multilevel circulant matrices. Zbl 1079.65033Serra-Capizzano, Stefano; Tablino-Possio, Cristina 19 2004 Finiteness property of pairs of \(2\times 2\) sign-matrices via real extremal polytope norms. Zbl 1186.15006Cicone, Antonio; Guglielmi, Nicola; Serra-Capizzano, Stefano; Zennaro, Marino 19 2010 The rate of convergence of Toeplitz based PCG methods for second order nonlinear boundary value problems. Zbl 0918.65059Serra, Stefano 19 1999 Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. Zbl 1434.65032Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 19 2020 Capizzano, Stefano Serra. (An ergodic theorem for classes of preconditioned matrices.) Zbl 0935.65026Serra Capizzano, Stefano 18 1998 Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods. Zbl 1359.65252Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik 17 2017 Matrix algebra preconditioners for multilevel Toeplitz matrices are not superlinear. Zbl 1001.65041Serra Capizzano, Stefano 17 2002 The anti-reflective transform and regularization by filtering. Zbl 1258.94014Aricò, A.; Donatelli, M.; Nagy, J.; Serra-Capizzano, S. 17 2011 Block generalized locally Toeplitz sequences: from the theory to the applications. Zbl 1434.65034Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano 17 2018 A Korovkin-based approximation of multilevel Toeplitz matrices (With rectangular unstructured blocks) via multilevel trigonometric matrix spaces. Zbl 0958.41016Serra Capizzano, Stefano 16 1999 Non-Hermitian perturbations of Hermitian matrix-sequences and applications to the spectral analysis of the numerical approximation of partial differential equations. Zbl 1474.65454Barbarino, Giovanni; Serra-Capizzano, Stefano 16 2020 Superoptimal preconditioned conjugate gradient iteration for image deblurring. Zbl 1088.65029Di Benedetto, Fabio; Estatico, Claudio; Serra Capizzano, Stefano 15 2005 How to prove that a preconditioner cannot be superlinear. Zbl 1021.15005Serra Capizzano, Stefano; Tyrtyshnikov, E. 15 2003 An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs. Zbl 1328.65156Ullah, Malik Zaka; Serra-Capizzano, Stefano; Ahmad, Fayyaz 15 2015 Preconditioning strategies for non-Hermitian Toeplitz linear systems. Zbl 1164.65394Huckle, Thomas; Serra-Capizzano, Stefano; Tablino-Possio, Cristina 15 2005 A note on the superoptimal matrix algebra operators. Zbl 1016.65010Di Benedetto, Fabio; Serra Capizzano, Stefano 14 2002 More inequalities and asymptotics for matrix valued linear positive operators: The noncommutative case. Zbl 1041.47017Serra-Capizzano, Stefano 14 2002 Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 1513.65356Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M. 14 2018 New PCG based algorithms for the solution of Hermitian Toeplitz systems. Zbl 0882.65019Serra, Stefano 13 1995 Analysis of preconditioning strategies for collocation linear systems. Zbl 1030.65037Serra Capizzano, Stefano; Tablino Possio, Cristina 13 2003 On the regularizing power of multigrid-type algorithms. Zbl 1103.65043Donatelli, Marco; Serra-Capizzano, Stefano 13 2006 How to deduce a proper eigenvalue cluster from a proper singular value cluster in the nonnormal case. Zbl 1088.65031Serra-Capizzano, Stefano; Bertaccini, Daniele; Golub, Gene H. 12 2005 Tools for determining the asymptotic spectral distribution of non-Hermitian perturbations of Hermitian matrix-sequences and applications. Zbl 1337.47045Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora 12 2015 Preconditioning strategies for Hermitian Toeplitz systems with nondefinite generating functions. Zbl 0877.65025Serra, Stefano 12 1996 Optimal multilevel matrix algebra operators. Zbl 0971.65027Di Benedetto, Fabio; Serra Capizzano, Stefano 12 2000 From Toeplitz matrix sequences to zero distribution of orthogonal polynomials. Zbl 1044.42024Fasino, Dario; Serra Capizzano, Stefano 12 2003 Singular-value (and eigenvalue) distribution and Krylov preconditioning of sequences of sampling matrices approximating integral operators. Zbl 1340.31001Al-Fhaid, A. S.; Serra-Capizzano, Stefano; Sesana, Debora; Ullah, Malik Zaka 12 2014 Spectral analysis of the anti-reflective algebra. Zbl 1140.15005Aricò, A.; Donatelli, M.; Serra-Capizzano, S. 12 2008 Spectral analysis of a preconditioned iterative method for the convection-diffusion equation. Zbl 1140.65024Bertaccini, Daniele; Golub, Gene H.; Serra-Capizzano, Stefano 12 2007 On an augmented Lagrangian-based preconditioning of Oseen type problems. Zbl 1269.65030He, Xin; Neytcheva, Maya; Capizzano, Stefano Serra 12 2011 Space-time FE-DG discretization of the anisotropic diffusion equation in any dimension: the spectral symbol. Zbl 1507.65176Benedusi, Pietro; Garoni, Carlo; Krause, Rolf; Li, Xiaozhou; Serra-Capizzano, Stefano 12 2018 Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. Zbl 1434.65033Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 12 2020 Extrapolation methods for PageRank computations. Zbl 1066.65040Brezinski, Claude; Redivo-Zaglia, Michela; Serra-Capizzano, Stefano 11 2005 Korovkin tests, approximation, and ergodic theory. Zbl 0956.65021Serra Capizzano, Stefano 11 2000 Test functions, growth conditions and Toeplitz matrices. Zbl 1025.15014Serra Capizzano, Stefano 11 2002 Spectral equivalence and matrix algebra preconditioners for multilevel Toeplitz systems: A negative result. Zbl 1039.65029Noutsos, D.; Serra Capizzano, Stefano; Vassalos, P. 11 2003 The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures. Zbl 1426.15041Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano 11 2019 The theory of generalized locally Toeplitz sequences: a review, an extension, and a few representative applications. Zbl 1472.47022Garoni, Carlo; Serra-Capizzano, Stefano 11 2017 Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. Zbl 1482.47049Böttcher, Albrecht; Garoni, Carlo; Serra-Capizzano, Stefano 11 2017 Lusin theorem, GLT sequences and matrix computations: an application to the spectral analysis of PDE discretization matrices. Zbl 1352.65501Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik 11 2017 A general setting for the parametric google matrix. Zbl 1146.65315Horn, Roger A.; Serra-Capizzano, Stefano 10 2006 Antireflective boundary conditions for deblurring problems. Zbl 1229.94007Donatelli, Marco; Serra-Capizzano, Stefano 10 2010 Google pageranking problem: The model and the analysis. Zbl 1197.65035Cicone, Antonio; Serra-Capizzano, Stefano 10 2010 Multigrid methods for Toeplitz linear systems with different size reduction. Zbl 1251.65047Donatelli, Marco; Serra-Capizzano, Stefano; Sesana, Debora 10 2012 Symbol approach in a signal-restoration problem involving block Toeplitz matrices. Zbl 1294.15020Del Prete, Vincenza; Di Benedetto, Fabio; Donatelli, Marco; Serra-Capizzano, Stefano 9 2014 Filter factor analysis of an iterative multilevel regularizing method. Zbl 1171.65369Donatelli, Marco; Serra-Capizzano, Stefano 9 2008 Asymptotic expansion and extrapolation for Bernstein polynomials with applications. Zbl 0872.65005Costabile, Francesco; Gualtieri, Maria Italia; Serra, Stefano 9 1996 Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols. Zbl 1513.65095Ekström, S.-E.; Serra-Capizzano, S. 9 2018 Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices. Zbl 0936.65059Serra Capizzano, Stefano 9 1998 Spectral analysis of coupled PDEs and of their Schur complements via generalized locally Toeplitz sequences in 2D. Zbl 1439.65138Dorostkar, Ali; Neytcheva, Maya; Serra-Capizzano, Stefano 9 2016 Are the eigenvalues of banded symmetric Toeplitz matrices known in almost closed form? Zbl 1405.15037Ekström, Sven-Erik; Garoni, Carlo; Serra-Capizzano, Stefano 9 2018 Spectral analysis and spectral symbol for the 2D curl-curl (stabilized) operator with applications to the related iterative solutions. Zbl 1455.65215Mazza, Mariarosa; Ratnani, Ahmed; Serra-Capizzano, Stefano 9 2019 Some theorems on linear positive operators and functionals and their applications. Zbl 1003.47030Serra Capizzano, Stefano 8 2000 How to choose the best iterative strategy for symmetric Toeplitz systems. Zbl 0938.65065Serra Capizzano, Stefano 8 1999 Fast parallel solvers for elliptic problems. Zbl 0857.65107Fiorentino, Giuseppe; Serra, Stefano 8 1996 Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems. Zbl 1498.65041Hon, Sean; Serra-Capizzano, Stefano; Wathen, Andy 3 2022 A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximations and a related spectrally based preconditioning approach. Zbl 1483.65047Mazza, M.; Semplice, M.; Serra-Capizzano, S.; Travaglia, E. 2 2021 Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix sequences. Zbl 1465.15036Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano 2 2021 Asymptotic spectra of large matrices coming from the symmetrization of Toeplitz structure functions and applications to preconditioning. Zbl 07332746Ferrari, Paola; Barakitis, Nikos; Serra-Capizzano, Stefano 1 2021 Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation. Zbl 1480.65247Benedusi, Pietro; Ferrari, Paola; Garoni, Carlo; Krause, Rolf; Serra-Capizzano, Stefano 1 2021 Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. Zbl 07396240Donatelli, Marco; Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano; Sesana, Debora 1 2021 Symbol-based preconditioning for Riesz distributed-order space-fractional diffusion equations. Zbl 1501.65042Mazza, Mariarosa; Serra-Capizzano, Stefano; Usman, Muhammad 1 2021 Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. Zbl 1434.65032Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 19 2020 Non-Hermitian perturbations of Hermitian matrix-sequences and applications to the spectral analysis of the numerical approximation of partial differential equations. Zbl 1474.65454Barbarino, Giovanni; Serra-Capizzano, Stefano 16 2020 Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. Zbl 1434.65033Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano 12 2020 Asymptotic spectra of large (grid) graphs with a uniform local structure. I: Theory. Zbl 1464.05224Adriani, Andrea; Bianchi, Davide; Serra-Capizzano, Stefano 7 2020 NURBS in isogeometric discretization methods: a spectral analysis. Zbl 1474.35263Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 3 2020 Spectral analysis of \(\mathbb{P}_k\) finite element matrices in the case of Friedrichs-Keller triangulations via generalized locally Toeplitz technology. Zbl 07250717Rahla, Ryma Imene; Serra-Capizzano, Stefano; Tablino-Possio, Cristina 3 2020 Fractional Laplace operator in two dimensions, approximating matrices, and related spectral analysis. Zbl 07245604Aceto, Lidia; Mazza, Mariarosa; Serra-Capizzano, Stefano 2 2020 Computation of asymptotic spectral distributions for sequences of grid operators. Zbl 07283496Morozov, S. V.; Serra-Capizzano, S.; Tyrtyshnikov, E. E. 1 2020 A multigrid method for nonlocal problems: non-diagonally dominant or Toeplitz-plus-tridiagonal systems. Zbl 1461.65236Chen, Minghua; Ekström, Sven-Erik; Serra-Capizzano, Stefano 1 2020 A level-set multigrid technique for nonlinear diffusion in the numerical simulation of marble degradation under chemical pollutants. Zbl 1497.65118Coco, A.; Semplice, M.; Serra Capizzano, S. 1 2020 The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures. Zbl 1426.15041Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano 11 2019 Spectral analysis and spectral symbol for the 2D curl-curl (stabilized) operator with applications to the related iterative solutions. Zbl 1455.65215Mazza, Mariarosa; Ratnani, Ahmed; Serra-Capizzano, Stefano 9 2019 Spectral and convergence analysis of the discrete ALIF method. Zbl 1477.94025Cicone, Antonio; Garoni, Carlo; Serra-Capizzano, Stefano 7 2019 A note on the spectral distribution of symmetrized Toeplitz sequences. Zbl 1419.15025Hon, Sean; Ayman-Mursaleen, Mohammad; Serra-Capizzano, Stefano 5 2019 Isogeometric analysis for 2D and 3D curl-div problems: spectral symbols and fast iterative solvers. Zbl 1440.82016Mazza, Mariarosa; Manni, Carla; Ratnani, Ahmed; Serra-Capizzano, Stefano; Speleers, Hendrik 5 2019 Block generalized locally Toeplitz sequences: topological construction, spectral distribution results, and star-algebra structure. Zbl 1445.15020Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora 3 2019 A merged tuning of binary and ternary Loop’s subdivision. Zbl 1492.65046Donatelli, Marco; Novara, Paola; Romani, Lucia; Serra-Capizzano, Stefano; Sesana, Debora 1 2019 Block GLT sequences: matrix functions and engineering application. Zbl 1436.15033Garoni, Carlo; Serra-Capizzano, Stefano 1 2019 Eigenvalue isogeometric approximations based on B-splines: tools and results. Zbl 1429.65167Ekström, Sven-Erik; Serra-Capizzano, Stefano 1 2019 Block locally Toeplitz sequences: construction and properties. Zbl 1445.15004Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora 1 2019 Generalized locally Toeplitz sequences: theory and applications. Volume II. Zbl 1448.47004Garoni, Carlo; Serra-Capizzano, Stefano 34 2018 Spectral analysis and multigrid methods for finite volume approximations of space-fractional diffusion equations. Zbl 1405.65161Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano 21 2018 Block generalized locally Toeplitz sequences: from the theory to the applications. Zbl 1434.65034Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano 17 2018 Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. Zbl 1513.65356Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M. 14 2018 Space-time FE-DG discretization of the anisotropic diffusion equation in any dimension: the spectral symbol. Zbl 1507.65176Benedusi, Pietro; Garoni, Carlo; Krause, Rolf; Li, Xiaozhou; Serra-Capizzano, Stefano 12 2018 Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols. Zbl 1513.65095Ekström, S.-E.; Serra-Capizzano, S. 9 2018 Are the eigenvalues of banded symmetric Toeplitz matrices known in almost closed form? Zbl 1405.15037Ekström, Sven-Erik; Garoni, Carlo; Serra-Capizzano, Stefano 9 2018 Generalized locally Toeplitz sequences: a spectral analysis tool for discretized differential equations. Zbl 1433.65132Garoni, Carlo; Serra-Capizzano, Stefano 6 2018 Are the eigenvalues of the B-spline isogeometric analysis approximation of \(-\Delta u=\lambda u\) known in almost closed form? Zbl 1513.65454Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 6 2018 Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices. Zbl 1405.65051Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano 6 2018 Spectral analysis of finite-dimensional approximations of \(1d\) waves in non-uniform grids. Zbl 1448.65216Bianchi, Davide; Serra-Capizzano, Stefano 5 2018 Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form? Zbl 1398.65055Ahmad, Fayyaz; Al-Aidarous, Eman Salem; Alrehaili, Dina Abdullah; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano 5 2018 Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation. Zbl 1397.65177Chen, Minghua; Deng, Weihua; Serra-Capizzano, Stefano 5 2018 Generalized locally Toeplitz sequences: theory and applications. Volume I. Zbl 1376.15002Garoni, Carlo; Serra-Capizzano, Stefano 78 2017 Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. Zbl 1355.65153Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 38 2017 Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods. Zbl 1359.65252Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik 17 2017 The theory of generalized locally Toeplitz sequences: a review, an extension, and a few representative applications. Zbl 1472.47022Garoni, Carlo; Serra-Capizzano, Stefano 11 2017 Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. Zbl 1482.47049Böttcher, Albrecht; Garoni, Carlo; Serra-Capizzano, Stefano 11 2017 Lusin theorem, GLT sequences and matrix computations: an application to the spectral analysis of PDE discretization matrices. Zbl 1352.65501Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik 11 2017 Optimizing a multigrid Runge-Kutta smoother for variable-coefficient convection-diffusion equations. Zbl 1375.35359Bertaccini, Daniele; Donatelli, Marco; Durastante, Fabio; Serra-Capizzano, Stefano 8 2017 Higher order derivative-free iterative methods with and without memory for systems of nonlinear equations. Zbl 1426.65071Ahmad, F.; Soleymani, F.; Khaksar Haghani, F.; Serra-Capizzano, S. 5 2017 Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem. Zbl 1390.74176Donatelli, Marco; Dorostkar, Ali; Mazza, Mariarosa; Neytcheva, Maya; Serra-Capizzano, Stefano 2 2017 Spectral analysis and structure preserving preconditioners for fractional diffusion equations. Zbl 1352.65305Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano 83 2016 Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Zbl 1335.65096Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 20 2016 Spectral analysis of coupled PDEs and of their Schur complements via generalized locally Toeplitz sequences in 2D. Zbl 1439.65138Dorostkar, Ali; Neytcheva, Maya; Serra-Capizzano, Stefano 9 2016 Eigenvalue-eigenvector structure of Schoenmakers-Coffey matrices via Toeplitz technology and applications. Zbl 1330.15036Salinelli, E.; Serra-Capizzano, S.; Sesana, D. 7 2016 Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol. Zbl 1413.65057Donatelli, Marco; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano; Sesana, Debora 6 2016 Solving systems of nonlinear equations when the nonlinearity is expensive. Zbl 1443.65074Qasim, Sabahat; Ali, Zulifqar; Ahmad, Fayyaz; Serra-Capizzano, S.; Ullah, Malik Zaka; Mahmood, Arshad 6 2016 Optimal preconditioning for image deblurring with anti-reflective boundary conditions. Zbl 1338.65081Dell’Acqua, P.; Donatelli, M.; Serra-Capizzano, S.; Sesana, D.; Tablino-Possio, C. 4 2016 Constructing frozen Jacobian iterative methods for solving systems of nonlinear equations, associated with ODEs and PDEs using the homotopy method. Zbl 1461.65094Qasim, Uswah; Ali, Zulifqar; Ahmad, Fayyaz; Serra-Capizzano, Stefano; Zaka Ullah, Malik; Asma, Mir 4 2016 The theory of locally Toeplitz sequences: a review, an extension, and a few representative applications. Zbl 1360.65110Garoni, Carlo; Serra-Capizzano, Stefano 4 2016 Essential spectral equivalence via multiple step preconditioning and applications to ill conditioned Toeplitz matrices. Zbl 1391.65071Noutsos, D.; Serra-Capizzano, S.; Vassalos, P. 3 2016 Multigrid methods for cubic spline solution of two point (and 2D) boundary value problems. Zbl 1336.65120Donatelli, Marco; Molteni, Matteo; Pennati, Vincenzo; Serra-Capizzano, Stefano 3 2016 Robust and optimal multi-iterative techniques for Iga Galerkin linear systems. Zbl 1425.65136Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 40 2015 Spectral analysis and spectral symbol of \(d\)-variate \(\mathbb Q_{\boldsymbol p}\) Lagrangian FEM stiffness matrices. Zbl 1321.65173Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora 25 2015 Robust and optimal multi-iterative techniques for Iga collocation linear systems. Zbl 1425.65196Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 25 2015 Iterated fractional Tikhonov regularization. Zbl 1434.65081Bianchi, Davide; Buccini, Alessandro; Donatelli, Marco; Serra-Capizzano, Stefano 20 2015 An efficient multi-step iterative method for computing the numerical solution of systems of nonlinear equations associated with ODEs. Zbl 1328.65156Ullah, Malik Zaka; Serra-Capizzano, Stefano; Ahmad, Fayyaz 15 2015 Tools for determining the asymptotic spectral distribution of non-Hermitian perturbations of Hermitian matrix-sequences and applications. Zbl 1337.47045Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora 12 2015 A general tool for determining the asymptotic spectral distribution of Hermitian matrix-sequences. Zbl 1329.47019Garoni, Carlo; Serra-Capizzano, Stefano; Vassalos, Paris 8 2015 Two-grid optimality for Galerkin linear systems based on B-splines. Zbl 1388.65176Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 6 2015 Higher order multi-step iterative method for computing the numerical solution of systems of nonlinear equations: application to nonlinear PDEs and ODEs. Zbl 1410.65201Ullah, Malik Zaka; Serra-Capizzano, S.; Ahmad, Fayyaz; Al-Aidarous, Eman S. 3 2015 Computational evaluation of multi-iterative approaches for solving graph-structured large linear systems. Zbl 1329.65069Dell’Acqua, Pietro; Frangioni, Antonio; Serra-Capizzano, Stefano 2 2015 Schur complement matrix and its (elementwise) approximation: a spectral analysis based on GLT sequences. Zbl 1450.65032Dorostkar, Ali; Neytcheva, Maya; Serra-Capizzano, Stefano 2 2015 Accelerated multigrid for graph Laplacian operators. Zbl 1410.65099Dell’Acqua, Pietro; Frangioni, Antonio; Serra-Capizzano, Stefano 2 2015 Quasi-optimal preconditioners for finite element approximations of diffusion dominated convection-diffusion equations on (nearly) equilateral triangle meshes. Zbl 1363.65046Russo, Alessandro; Serra-Capizzano, Stefano; Tablino-Possio, Cristina 1 2015 On the spectrum of stiffness matrices arising from isogeometric analysis. Zbl 1298.65172Garoni, Carlo; Manni, Carla; Pelosi, Francesca; Serra-Capizzano, Stefano; Speleers, Hendrik 34 2014 Singular-value (and eigenvalue) distribution and Krylov preconditioning of sequences of sampling matrices approximating integral operators. Zbl 1340.31001Al-Fhaid, A. S.; Serra-Capizzano, Stefano; Sesana, Debora; Ullah, Malik Zaka 12 2014 Symbol approach in a signal-restoration problem involving block Toeplitz matrices. Zbl 1294.15020Del Prete, Vincenza; Di Benedetto, Fabio; Donatelli, Marco; Serra-Capizzano, Stefano 9 2014 Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol. Zbl 1335.15036Donatelli, Marco; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano; Sesana, Debora 7 2014 A fast alternating minimization algorithm for total variation deblurring without boundary artifacts. Zbl 1308.94010Bai, Zheng-Jian; Cassani, Daniele; Donatelli, Marco; Serra-Capizzano, Stefano 5 2014 Two-grid methods for Hermitian positive definite linear systems connected with an order relation. Zbl 1311.65034Serra-Capizzano, Stefano; Tablino-Possio, Cristina 4 2014 A note on the eigenvalues of \(g\)-circulants (and of \(g\)-Toeplitz, \(g\)-Hankel matrices). Zbl 1312.15013Serra-Capizzano, Stefano; Sesana, Debora 2 2014 Preconditioners and Korovkin-type theorems for infinite-dimensional bounded linear operators via completely positive maps. Zbl 1284.41016Kumar, K.; Namboodiri, M. N. N.; Serra-Capizzano, S. 7 2013 Perturbation of operators and approximation of spectrum. Zbl 1417.47003Kumar, K.; Namboodiri, M. N. N.; Serra-Capizzano, S. 4 2013 A note on a discrete version of Borg’s theorem via Toeplitz-Laurent operators with matrix-valued symbols. Zbl 1277.47041Golinskii, L.; Kumar, K.; Namboodiri, M. N. N.; Serra-Capizzano, S. 4 2013 AMG preconditioning for nonlinear degenerate parabolic equations on nonuniform grids with application to monument degradation. Zbl 1270.65045Donatelli, M.; Semplice, M.; Serra-Capizzano, S. 2 2013 Multigrid methods for Toeplitz linear systems with different size reduction. Zbl 1251.65047Donatelli, Marco; Serra-Capizzano, Stefano; Sesana, Debora 10 2012 Canonical eigenvalue distribution of multilevel block Toeplitz sequences with non-Hermitian symbols. Zbl 1261.15011Donatelli, Marco; Neytcheva, Maya; Serra-Capizzano, Stefano 8 2012 Spectral analysis and preconditioning techniques for radial basis function collocation matrices. Zbl 1274.65308Cavoretto, R.; De Rossi, A.; Donatelli, M.; Serra-Capizzano, S. 6 2012 A note on the (regularizing) preconditioning of \(g\)-Toeplitz sequences via \(g\)-circulants. Zbl 1244.65045Estatico, Claudio; Ngondiep, Eric; Serra-Capizzano, Stefano; Sesana, Debora 3 2012 Nonnegative inverse eigenvalue problems with partial eigendata. Zbl 1238.65029Bai, Zheng-Jian; Serra-Capizzano, Stefano; Zhao, Zhi 2 2012 The anti-reflective transform and regularization by filtering. Zbl 1258.94014Aricò, A.; Donatelli, M.; Nagy, J.; Serra-Capizzano, S. 17 2011 On an augmented Lagrangian-based preconditioning of Oseen type problems. Zbl 1269.65030He, Xin; Neytcheva, Maya; Capizzano, Stefano Serra 12 2011 Fast preconditioners for total variation deblurring with antireflective boundary conditions. Zbl 1269.65144Bai, Zheng-Jian; Donatelli, Marco; Serra-Capizzano, Stefano 4 2011 Analysis of multigrid preconditioning for implicit PDE solvers for degenerate parabolic equations. Zbl 1242.65198Donatelli, Marco; Semplice, Matteo; Serra-Capizzano, Stefano 3 2011 Spectral features and asymptotic properties for \(g\)-circulants and \(g\)-Toeplitz sequences. Zbl 1206.15010Ngondiep, Eric; Serra-Capizzano, Stefano; Sesana, Debora 25 2010 Finiteness property of pairs of \(2\times 2\) sign-matrices via real extremal polytope norms. Zbl 1186.15006Cicone, Antonio; Guglielmi, Nicola; Serra-Capizzano, Stefano; Zennaro, Marino 19 2010 Antireflective boundary conditions for deblurring problems. Zbl 1229.94007Donatelli, Marco; Serra-Capizzano, Stefano 10 2010 Google pageranking problem: The model and the analysis. Zbl 1197.65035Cicone, Antonio; Serra-Capizzano, Stefano 10 2010 The eigenvalue distribution of products of Toeplitz matrices - clustering and attraction. Zbl 1202.15014Serra-Capizzano, Stefano; Sesana, Debora; Strouse, Elizabeth 4 2010 On the treatment of boundary artifacts in image restoration by reflection and/or anti-reflection. Zbl 1216.94011Donatelli, Marco; Serra-Capizzano, Stefano 4 2010 A note on algebraic multigrid methods for the discrete weighted Laplacian. Zbl 1201.65045Capizzano, Stefano Serra; Tablino-Possio, Cristina 3 2010 ...and 105 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,007 Authors 135 Serra-Capizzano, Stefano 48 Donatelli, Marco 33 Garoni, Carlo 21 Sun, Haiwei 20 Mazza, Mariarosa 19 Sesana, Debora 18 Ng, Michael Kwok-Po 18 Reichel, Lothar 17 Manni, Carla 17 Speleers, Hendrik 15 Böttcher, Albrecht 15 Grudsky, Sergei Mikhailovich 15 Huang, Ting-Zhu 14 Jin, Xiaoqing 12 Ahmad, Fayyaz 12 Jiang, Zhaolin 11 Ekstrom, Sven-Erik 11 Noutsos, Dimitrios 10 Estatico, Claudio 10 Huckle, Thomas Kilian 10 Tablino Possio, Cristina 10 Vassalos, Paris 10 Zhao, Xile 9 Bai, Zhongzhi 9 Barbarino, Giovanni 9 Furci, Isabella 9 Wei, Yimin 8 Bianchi, Davide 8 Dell’Acqua, Pietro 8 Durastante, Fabio 8 Maksimenko, Egor A. 8 Ullah, Malik Zaka 8 Xiong, Xiangtuan 7 Bertaccini, Daniele 7 Chen, Hao 7 Cicone, Antonio 7 Hon, Sean Y. 7 Kumar, V. B. 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