Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano Fast non-Hermitian Toeplitz eigenvalue computations, joining matrixless algorithms and FDE approximation matrices. (English) Zbl 07805905 SIAM J. Matrix Anal. Appl. 45, No. 1, 284-305 (2024). MSC: 65F15 15B05 15A18 PDFBibTeX XMLCite \textit{M. Bogoya} et al., SIAM J. Matrix Anal. Appl. 45, No. 1, 284--305 (2024; Zbl 07805905) Full Text: DOI arXiv
Cicone, Antonio; Serra-Capizzano, Stefano; Zhou, Haomin One or two frequencies? The iterative filtering answers. (English) Zbl 07764038 Appl. Math. Comput. 462, Article ID 128322, 12 p. (2024). MSC: 94Axx 65Txx 15Bxx PDFBibTeX XMLCite \textit{A. Cicone} et al., Appl. Math. Comput. 462, Article ID 128322, 12 p. (2024; Zbl 07764038) Full Text: DOI arXiv
Adriani, Andrea; Bianchi, Davide; Ferrari, Paola; Serra-Capizzano, Stefano Asymptotic spectra of large (grid) graphs with a uniform local structure. II: Numerical applications. (English) Zbl 1522.05174 J. Comput. Appl. Math. 437, Article ID 115461, 20 p. (2024). MSC: 05C22 05C50 15A18 65J10 65M55 65N22 PDFBibTeX XMLCite \textit{A. Adriani} et al., J. Comput. Appl. Math. 437, Article ID 115461, 20 p. (2024; Zbl 1522.05174) Full Text: DOI arXiv
Adriani, Andrea; Sormani, Rosita Luisa; Tablino-Possio, Cristina; Krause, Rolf; Serra-Capizzano, Stefano Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with Caputo fractional Laplacian and variable coefficient wave number \(\mu\). arXiv:2402.10569 Preprint, arXiv:2402.10569 [math.NA] (2024). MSC: 65F08 35R11 65N22 15A18 47B35 BibTeX Cite \textit{A. Adriani} et al., ``Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with Caputo fractional Laplacian and variable coefficient wave number $\mu$'', Preprint, arXiv:2402.10569 [math.NA] (2024) Full Text: arXiv OA License
Bogoya, Manuel; Grudsky, Sergei; Mazza, Mariarosa; Serra-Capizzano, Stefano On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems. (English) Zbl 07755386 Linear Multilinear Algebra 71, No. 15, 2462-2473 (2023). MSC: 15B05 15A18 15A42 65L05 34A08 26A33 PDFBibTeX XMLCite \textit{M. Bogoya} et al., Linear Multilinear Algebra 71, No. 15, 2462--2473 (2023; Zbl 07755386) Full Text: DOI arXiv
Schiavoni-Piazza, Alec Jacopo Almo; Serra-Capizzano, Stefano Distribution results for a special class of matrix sequences: joining approximation theory and asymptotic linear algebra. (English) Zbl 1521.15025 ETNA, Electron. Trans. Numer. Anal. 59, 1-8 (2023). MSC: 15B05 15A18 47B35 41A21 41A10 PDFBibTeX XMLCite \textit{A. J. A. Schiavoni-Piazza} and \textit{S. Serra-Capizzano}, ETNA, Electron. Trans. Numer. Anal. 59, 1--8 (2023; Zbl 1521.15025) Full Text: DOI Link
Hon, Sean; Serra-Capizzano, Stefano A block Toeplitz preconditioner for all-at-once systems from linear wave equations. (English) Zbl 1524.65123 ETNA, Electron. Trans. Numer. Anal. 58, 177-195 (2023). MSC: 65F08 65F10 65M22 15B05 PDFBibTeX XMLCite \textit{S. Hon} and \textit{S. Serra-Capizzano}, ETNA, Electron. Trans. Numer. Anal. 58, 177--195 (2023; Zbl 1524.65123) Full Text: DOI Link
Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano 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. (English) Zbl 1516.15005 ETNA, Electron. Trans. Numer. Anal. 58, 136-163 (2023). MSC: 15A18 15B05 34L20 65N22 35R11 PDFBibTeX XMLCite \textit{M. Bolten} et al., ETNA, Electron. Trans. Numer. Anal. 58, 136--163 (2023; Zbl 1516.15005) Full Text: DOI arXiv Link
Coco, Armando; Ekström, Sven-Erik; Russo, Giovanni; Serra-Capizzano, Stefano; Stissi, Santina Chiara Spectral and norm estimates for matrix-sequences arising from a finite difference approximation of elliptic operators. (English) Zbl 1512.65242 Linear Algebra Appl. 667, 10-43 (2023). Reviewer: Weizhong Dai (Ruston) MSC: 65N06 65N12 65N15 15B05 35J25 PDFBibTeX XMLCite \textit{A. Coco} et al., Linear Algebra Appl. 667, 10--43 (2023; Zbl 1512.65242) Full Text: DOI arXiv
Barbarino, Giovanni; Ekström, Sven-Erik; Garoni, Carlo; Meadon, David; Serra-Capizzano, Stefano; Vassalos, Paris Spectral properties of flipped Toeplitz matrices. arXiv:2312.06170 Preprint, arXiv:2312.06170 [math.NA] (2023). MSC: 15B05 15A18 65F10 BibTeX Cite \textit{G. Barbarino} et al., ``Spectral properties of flipped Toeplitz matrices'', Preprint, arXiv:2312.06170 [math.NA] (2023) Full Text: arXiv OA License
Piazza, Alec Schiavoni; Meadon, David; Serra-Capizzano, Stefano The \(\beta\) Maps: Strong Clustering and Distribution Results on the Complex Unit Circle. arXiv:2311.12568 Preprint, arXiv:2311.12568 [math.NA] (2023). MSC: 15A18 15B05 37A30 37E05 30B10 BibTeX Cite \textit{A. S. Piazza} et al., ``The $\beta$ Maps: Strong Clustering and Distribution Results on the Complex Unit Circle'', Preprint, arXiv:2311.12568 [math.NA] (2023) Full Text: arXiv OA License
Bruno, Ludovico Bruni; Semplice, Matteo; Serra-Capizzano, Stefano The numerical linear algebra of weights: from the spectral analysis to conditioning and preconditioning in the Laplacian case. arXiv:2311.01467 Preprint, arXiv:2311.01467 [math.NA] (2023). MSC: 65N30 15A18 47B35 65F10 65F08 BibTeX Cite \textit{L. B. Bruno} et al., ``The numerical linear algebra of weights: from the spectral analysis to conditioning and preconditioning in the Laplacian case'', Preprint, arXiv:2311.01467 [math.NA] (2023) Full Text: arXiv OA License
Barbarino, Giovanni; Ekström, Sven-Erik; Garoni, Carlo; Meadon, David; Serra-Capizzano, Stefano; Vassalos, Paris From asymptotic distribution and vague convergence to uniform convergence, with numerical applications. arXiv:2309.03662 Preprint, arXiv:2309.03662 [math.NA] (2023). MSC: 47B06 15A18 60B10 15B05 BibTeX Cite \textit{G. Barbarino} et al., ``From asymptotic distribution and vague convergence to uniform convergence, with numerical applications'', Preprint, arXiv:2309.03662 [math.NA] (2023) Full Text: arXiv OA License
Bogoya, Manuel; Ekström, Sven-Erik; Serra-Capizzano, Stefano Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory. (English) Zbl 1503.15040 Numer. Algorithms 91, No. 4, 1653-1676 (2022). Reviewer: Anton Iliev (Plovdiv) MSC: 15B05 65F15 65D05 47B35 15A18 41A60 PDFBibTeX XMLCite \textit{M. Bogoya} et al., Numer. Algorithms 91, No. 4, 1653--1676 (2022; Zbl 1503.15040) Full Text: DOI arXiv
Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano; Tablino-Possio, Cristina Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. (English) Zbl 1502.15026 BIT 62, No. 4, 1417-1431 (2022). MSC: 15B99 15A18 65F10 26A33 PDFBibTeX XMLCite \textit{M. Bogoya} et al., BIT 62, No. 4, 1417--1431 (2022; Zbl 1502.15026) Full Text: DOI arXiv
Bolten, Matthias; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano Toeplitz momentary symbols: definition, results, and limitations in the spectral analysis of structured matrices. (English) Zbl 1493.15035 Linear Algebra Appl. 651, 51-82 (2022). MSC: 15A18 15B05 65F15 PDFBibTeX XMLCite \textit{M. Bolten} et al., Linear Algebra Appl. 651, 51--82 (2022; Zbl 1493.15035) Full Text: DOI arXiv
Barbarino, Giovanni; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano Rectangular GLT sequences. (English) Zbl 1493.15085 ETNA, Electron. Trans. Numer. Anal. 55, 585-617 (2022). MSC: 15B05 47B06 65N30 15A69 65D07 65N55 PDFBibTeX XMLCite \textit{G. Barbarino} et al., ETNA, Electron. Trans. Numer. Anal. 55, 585--617 (2022; Zbl 1493.15085) Full Text: DOI arXiv Link
Hon, Sean; Serra-Capizzano, Stefano; Wathen, Andy Band-Toeplitz preconditioners for ill-conditioned Toeplitz systems. (English) Zbl 1498.65041 BIT 62, No. 2, 465-491 (2022). MSC: 65F08 65F10 65M22 15B05 PDFBibTeX XMLCite \textit{S. Hon} et al., BIT 62, No. 2, 465--491 (2022; Zbl 1498.65041) Full Text: DOI
Bogoya, Manuel; Serra-Capizzano, Stefano; Trotti, Ken Upper Hessenberg and Toeplitz Bohemian matrix sequences: a note on their asymptotical eigenvalues and singular values. (English) Zbl 1478.15041 ETNA, Electron. Trans. Numer. Anal. 55, 76-91 (2022). MSC: 15B05 15B36 15A18 11C20 05B20 PDFBibTeX XMLCite \textit{M. Bogoya} et al., ETNA, Electron. Trans. Numer. Anal. 55, 76--91 (2022; Zbl 1478.15041) Full Text: DOI Link
Hon, Sean; Fung, Po Yin; Dong, Jiamei; Serra-Capizzano, Stefano A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs. arXiv:2201.10062 Preprint, arXiv:2201.10062 [math.NA] (2022). MSC: 15B05 65F08 65F10 65M22 BibTeX Cite \textit{S. Hon} et al., ``A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs'', Preprint, arXiv:2201.10062 [math.NA] (2022) Full Text: arXiv OA License
Solary, Maryam Shams; Kovačec, Alexander; Capizzano, Stefano Serra The smallest singular value of certain Toeplitz-related parametric triangular matrices. (English) Zbl 1479.15033 Spec. Matrices 9, 103-111 (2021). MSC: 15B05 15A18 65Q30 PDFBibTeX XMLCite \textit{M. S. Solary} et al., Spec. Matrices 9, 103--111 (2021; Zbl 1479.15033) Full Text: DOI
Mazza, M.; Semplice, M.; Serra-Capizzano, S.; Travaglia, E. A matrix-theoretic spectral analysis of incompressible Navier-Stokes staggered DG approximations and a related spectrally based preconditioning approach. (English) Zbl 1483.65047 Numer. Math. 149, No. 4, 933-971 (2021). MSC: 65F08 65N30 15B05 15A18 15A69 76D05 PDFBibTeX XMLCite \textit{M. Mazza} et al., Numer. Math. 149, No. 4, 933--971 (2021; Zbl 1483.65047) Full Text: DOI arXiv
Mazza, Mariarosa; Serra-Capizzano, Stefano; Usman, Muhammad Symbol-based preconditioning for Riesz distributed-order space-fractional diffusion equations. (English) Zbl 1501.65042 ETNA, Electron. Trans. Numer. Anal. 54, 499-513 (2021). MSC: 65M06 65N06 65M50 26A33 35R11 15B05 15A18 65F08 65F10 65F35 35B40 PDFBibTeX XMLCite \textit{M. Mazza} et al., ETNA, Electron. Trans. Numer. Anal. 54, 499--513 (2021; Zbl 1501.65042) Full Text: DOI Link
Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano Multilevel symmetrized Toeplitz structures and spectral distribution results for the related matrix sequences. (English) Zbl 1465.15036 Electron. J. Linear Algebra 37, 370-386 (2021). MSC: 15B05 15A18 47B06 65F15 PDFBibTeX XMLCite \textit{P. Ferrari} et al., Electron. J. Linear Algebra 37, 370--386 (2021; Zbl 1465.15036) Full Text: arXiv Link
Ferrari, Paola; Barakitis, Nikos; Serra-Capizzano, Stefano Asymptotic spectra of large matrices coming from the symmetrization of Toeplitz structure functions and applications to preconditioning. (English) Zbl 07332746 Numer. Linear Algebra Appl. 28, No. 1, e2332, 16 p. (2021). MSC: 15B05 15A18 65F08 65F15 PDFBibTeX XMLCite \textit{P. Ferrari} et al., Numer. Linear Algebra Appl. 28, No. 1, e2332, 16 p. (2021; Zbl 07332746) Full Text: DOI
Bogoya, M.; Serra-Capizzano, S. Eigenvalue superposition expansion for Toeplitz matrix-sequences, generated by linear combinations of matrix-order dependent symbols, and applications to fast eigenvalue computations. arXiv:2112.11794 Preprint, arXiv:2112.11794 [math.NA] (2021). MSC: 15B05 65F15 47B35 15A18 BibTeX Cite \textit{M. Bogoya} and \textit{S. Serra-Capizzano}, ``Eigenvalue superposition expansion for Toeplitz matrix-sequences, generated by linear combinations of matrix-order dependent symbols, and applications to fast eigenvalue computations'', Preprint, arXiv:2112.11794 [math.NA] (2021) Full Text: arXiv OA License
Chen, Minghua; Ekström, Sven-Erik; Serra-Capizzano, Stefano A multigrid method for nonlocal problems: non-diagonally dominant or Toeplitz-plus-tridiagonal systems. (English) Zbl 1461.65236 SIAM J. Matrix Anal. Appl. 41, No. 4, 1546-1570 (2020). MSC: 65M55 26A33 65T50 65F05 15B05 35R11 PDFBibTeX XMLCite \textit{M. Chen} et al., SIAM J. Matrix Anal. Appl. 41, No. 4, 1546--1570 (2020; Zbl 1461.65236) Full Text: DOI arXiv
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik NURBS in isogeometric discretization methods: a spectral analysis. (English) Zbl 1474.35263 Numer. Linear Algebra Appl. 27, No. 6, e2318, 34 p. (2020). Reviewer: Adhemar Bultheel (Leuven) MSC: 35J25 65N55 65N12 65D07 65F08 15A18 15B05 PDFBibTeX XMLCite \textit{C. Garoni} et al., Numer. Linear Algebra Appl. 27, No. 6, e2318, 34 p. (2020; Zbl 1474.35263) Full Text: DOI
Morozov, S. V.; Serra-Capizzano, S.; Tyrtyshnikov, E. E. Computation of asymptotic spectral distributions for sequences of grid operators. (English. Russian original) Zbl 1523.15009 Comput. Math. Math. Phys. 60, No. 11, 1761-1777 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1823-1841 (2020). Reviewer: Adhemar Bultheel (Leuven) MSC: 15A18 15B05 47N40 47A11 47B06 65F08 65N55 PDFBibTeX XMLCite \textit{S. V. Morozov} et al., Comput. Math. Math. Phys. 60, No. 11, 1761--1777 (2020; Zbl 1523.15009); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 11, 1823--1841 (2020) Full Text: DOI
Rahla, Ryma Imene; Serra-Capizzano, Stefano; Tablino-Possio, Cristina Spectral analysis of \(\mathbb{P}_k\) finite element matrices in the case of Friedrichs-Keller triangulations via generalized locally Toeplitz technology. (English) Zbl 07250717 Numer. Linear Algebra Appl. 27, No. 4, e2302, 28 p. (2020). MSC: 65N30 15A18 47B35 15A12 65F10 PDFBibTeX XMLCite \textit{R. I. Rahla} et al., Numer. Linear Algebra Appl. 27, No. 4, e2302, 28 p. (2020; Zbl 07250717) Full Text: DOI
Aceto, Lidia; Mazza, Mariarosa; Serra-Capizzano, Stefano Fractional Laplace operator in two dimensions, approximating matrices, and related spectral analysis. (English) Zbl 07245604 Calcolo 57, No. 3, Paper No. 27, 25 p. (2020). MSC: 47A58 34A08 15B05 65F60 65F15 65F35 PDFBibTeX XMLCite \textit{L. Aceto} et al., Calcolo 57, No. 3, Paper No. 27, 25 p. (2020; Zbl 07245604) Full Text: DOI
Barbarino, Giovanni; Serra-Capizzano, Stefano Non-Hermitian perturbations of Hermitian matrix-sequences and applications to the spectral analysis of the numerical approximation of partial differential equations. (English) Zbl 1474.65454 Numer. Linear Algebra Appl. 27, No. 3, e2286, 31 p. (2020). MSC: 65N35 65F15 65F08 15B57 15A18 PDFBibTeX XMLCite \textit{G. Barbarino} and \textit{S. Serra-Capizzano}, Numer. Linear Algebra Appl. 27, No. 3, e2286, 31 p. (2020; Zbl 1474.65454) Full Text: DOI
Ekström, Sven-Erik; Serra-Capizzano, Stefano Reply to letter to the editor: Eigenpairs of some particular band Toeplitz matrices: a comment: reply from authors. (English) Zbl 1463.65070 Numer. Linear Algebra Appl. 27, No. 1, e2273, 3 p. (2020). MSC: 65F15 15B05 PDFBibTeX XMLCite \textit{S.-E. Ekström} and \textit{S. Serra-Capizzano}, Numer. Linear Algebra Appl. 27, No. 1, e2273, 3 p. (2020; Zbl 1463.65070) Full Text: DOI
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano Block generalized locally Toeplitz sequences: theory and applications in the multidimensional case. (English) Zbl 1434.65033 ETNA, Electron. Trans. Numer. Anal. 53, 113-216 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F15 15B05 65N06 65N30 65N25 PDFBibTeX XMLCite \textit{G. Barbarino} et al., ETNA, Electron. Trans. Numer. Anal. 53, 113--216 (2020; Zbl 1434.65033) Full Text: DOI Link
Barbarino, Giovanni; Garoni, Carlo; Serra-Capizzano, Stefano Block generalized locally Toeplitz sequences: theory and applications in the unidimensional case. (English) Zbl 1434.65032 ETNA, Electron. Trans. Numer. Anal. 53, 28-112 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65F15 15B05 65N06 65N30 65N25 PDFBibTeX XMLCite \textit{G. Barbarino} et al., ETNA, Electron. Trans. Numer. Anal. 53, 28--112 (2020; Zbl 1434.65032) Full Text: DOI Link
Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora Block generalized locally Toeplitz sequences: topological construction, spectral distribution results, and star-algebra structure. (English) Zbl 1445.15020 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 59-79 (2019). MSC: 15B05 15A18 PDFBibTeX XMLCite \textit{C. Garoni} et al., Springer INdAM Ser. 30, 59--79 (2019; Zbl 1445.15020) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora Block locally Toeplitz sequences: construction and properties. (English) Zbl 1445.15004 Bini, Dario Andrea (ed.) et al., Structured matrices in numerical linear algebra. Analysis, algorithms and applications. Selected papers of the INdAM meeting on structured matrices in numerical linear algebra: analysis, algorithms and applications, Cortona, Italy, September 4–8, 2017. Cham: Springer. Springer INdAM Ser. 30, 25-58 (2019). MSC: 15A18 15B05 65F15 47B35 15A60 15B57 PDFBibTeX XMLCite \textit{C. Garoni} et al., Springer INdAM Ser. 30, 25--58 (2019; Zbl 1445.15004) Full Text: DOI
Ferrari, Paola; Furci, Isabella; Hon, Sean; Mursaleen, Mohammad Ayman; Serra-Capizzano, Stefano The eigenvalue distribution of special 2-by-2 block matrix-sequences with applications to the case of symmetrized Toeplitz structures. (English) Zbl 1426.15041 SIAM J. Matrix Anal. Appl. 40, No. 3, 1066-1086 (2019). Reviewer: Anton Iliev (Plovdiv) MSC: 15B05 15A18 65F15 65F08 PDFBibTeX XMLCite \textit{P. Ferrari} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 1066--1086 (2019; Zbl 1426.15041) Full Text: DOI arXiv
Cicone, Antonio; Garoni, Carlo; Serra-Capizzano, Stefano Spectral and convergence analysis of the discrete ALIF method. (English) Zbl 1477.94025 Linear Algebra Appl. 580, 62-95 (2019). MSC: 94A12 68W40 15A18 47B06 15B05 PDFBibTeX XMLCite \textit{A. Cicone} et al., Linear Algebra Appl. 580, 62--95 (2019; Zbl 1477.94025) Full Text: DOI
Hon, Sean; Ayman-Mursaleen, Mohammad; Serra-Capizzano, Stefano A note on the spectral distribution of symmetrized Toeplitz sequences. (English) Zbl 1419.15025 Linear Algebra Appl. 579, 32-50 (2019). MSC: 15B05 65F15 65F08 PDFBibTeX XMLCite \textit{S. Hon} et al., Linear Algebra Appl. 579, 32--50 (2019; Zbl 1419.15025) Full Text: DOI arXiv
Garoni, Carlo; Serra-Capizzano, Stefano Block GLT sequences: matrix functions and engineering application. (English) Zbl 1436.15033 Electron. J. Linear Algebra 35, 204-222 (2019). Reviewer: Giovanni Barbarino (Pisa) MSC: 15B05 15A18 65F60 65N25 65N30 65D07 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, Electron. J. Linear Algebra 35, 204--222 (2019; Zbl 1436.15033) Full Text: DOI
Mazza, Mariarosa; Ratnani, Ahmed; Serra-Capizzano, Stefano Spectral analysis and spectral symbol for the 2D curl-curl (stabilized) operator with applications to the related iterative solutions. (English) Zbl 1455.65215 Math. Comput. 88, No. 317, 1155-1188 (2019). MSC: 65N30 15A18 15B05 41A15 15A69 35Q61 65D07 78A30 65N20 PDFBibTeX XMLCite \textit{M. Mazza} et al., Math. Comput. 88, No. 317, 1155--1188 (2019; Zbl 1455.65215) Full Text: DOI
Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano Block generalized locally Toeplitz sequences: from the theory to the applications. (English) Zbl 1434.65034 Axioms 7, No. 3, Paper No. 49, 29 p. (2018). MSC: 65F15 15A18 15B05 65N30 65N06 65D07 47B06 PDFBibTeX XMLCite \textit{C. Garoni} et al., Axioms 7, No. 3, Paper No. 49, 29 p. (2018; Zbl 1434.65034) Full Text: DOI
Ekström, Sven-Erik; Garoni, Carlo; Serra-Capizzano, Stefano Are the eigenvalues of banded symmetric Toeplitz matrices known in almost closed form? (English) Zbl 1405.15037 Exp. Math. 27, No. 4, 478-487 (2018). MSC: 15B05 65F15 65D05 65B05 PDFBibTeX XMLCite \textit{S.-E. Ekström} et al., Exp. Math. 27, No. 4, 478--487 (2018; Zbl 1405.15037) Full Text: DOI Link
Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano Spectral analysis and multigrid methods for finite volume approximations of space-fractional diffusion equations. (English) Zbl 1405.65161 SIAM J. Sci. Comput. 40, No. 6, A4007-A4039 (2018). MSC: 65N55 35R11 65N08 15B05 65F15 65F08 PDFBibTeX XMLCite \textit{M. Donatelli} et al., SIAM J. Sci. Comput. 40, No. 6, A4007--A4039 (2018; Zbl 1405.65161) Full Text: DOI
Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano Exact formulae and matrix-less eigensolvers for block banded symmetric Toeplitz matrices. (English) Zbl 1405.65051 BIT 58, No. 4, 937-968 (2018). Reviewer: Giovanni Barbarino (Pisa) MSC: 65F15 15B05 65B05 PDFBibTeX XMLCite \textit{S.-E. Ekström} et al., BIT 58, No. 4, 937--968 (2018; Zbl 1405.65051) Full Text: DOI
Ekström, Sven-Erik; Furci, Isabella; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik Are the eigenvalues of the B-spline isogeometric analysis approximation of \(-\Delta u=\lambda u\) known in almost closed form? (English) Zbl 1513.65454 Numer. Linear Algebra Appl. 25, No. 5, e2198, 34 p. (2018). MSC: 65N25 65N30 65D07 65F15 65D05 65B05 15B05 35C20 65Y05 PDFBibTeX XMLCite \textit{S.-E. Ekström} et al., Numer. Linear Algebra Appl. 25, No. 5, e2198, 34 p. (2018; Zbl 1513.65454) Full Text: DOI
Dumbser, M.; Fambri, F.; Furci, I.; Mazza, M.; Serra-Capizzano, S.; Tavelli, M. Staggered discontinuous Galerkin methods for the incompressible Navier-Stokes equations: spectral analysis and computational results. (English) Zbl 1513.65356 Numer. Linear Algebra Appl. 25, No. 5, e2151, 31 p. (2018). MSC: 65M60 65F10 76D05 65F35 15B05 15A18 47B35 65M06 76M10 76M20 PDFBibTeX XMLCite \textit{M. Dumbser} et al., Numer. Linear Algebra Appl. 25, No. 5, e2151, 31 p. (2018; Zbl 1513.65356) Full Text: DOI arXiv
Ekström, S.-E.; Serra-Capizzano, S. Eigenvalues and eigenvectors of banded Toeplitz matrices and the related symbols. (English) Zbl 1513.65095 Numer. Linear Algebra Appl. 25, No. 5, e2137, 17 p. (2018). MSC: 65F15 15B05 PDFBibTeX XMLCite \textit{S. E. Ekström} and \textit{S. Serra-Capizzano}, Numer. Linear Algebra Appl. 25, No. 5, e2137, 17 p. (2018; Zbl 1513.65095) Full Text: DOI
Benedusi, Pietro; Garoni, Carlo; Krause, Rolf; Li, Xiaozhou; Serra-Capizzano, Stefano Space-time FE-DG discretization of the anisotropic diffusion equation in any dimension: the spectral symbol. (English) Zbl 1507.65176 SIAM J. Matrix Anal. Appl. 39, No. 3, 1383-1420 (2018). MSC: 65M60 65N30 65D07 15A18 15A69 15B05 41A15 80A19 35Q79 PDFBibTeX XMLCite \textit{P. Benedusi} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1383--1420 (2018; Zbl 1507.65176) Full Text: DOI
Ahmad, Fayyaz; Al-Aidarous, Eman Salem; Alrehaili, Dina Abdullah; Ekström, Sven-Erik; Furci, Isabella; Serra-Capizzano, Stefano Are the eigenvalues of preconditioned banded symmetric Toeplitz matrices known in almost closed form? (English) Zbl 1398.65055 Numer. Algorithms 78, No. 3, 867-893 (2018). MSC: 65F15 15B05 65D05 65B05 PDFBibTeX XMLCite \textit{F. Ahmad} et al., Numer. Algorithms 78, No. 3, 867--893 (2018; Zbl 1398.65055) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano Spectral distribution results beyond the algebra generated by variable-coefficient Toeplitz sequences: the GLT approach. (English) Zbl 1454.15021 J. Fourier Anal. Appl. 24, No. 2, 506-524 (2018). MSC: 15B05 47B35 47B06 15A18 15A60 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, J. Fourier Anal. Appl. 24, No. 2, 506--524 (2018; Zbl 1454.15021) Full Text: DOI
Chen, Minghua; Deng, Weihua; Serra-Capizzano, Stefano Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation. (English) Zbl 1397.65177 J. Sci. Comput. 74, No. 2, 1034-1059 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M55 15B05 35R11 PDFBibTeX XMLCite \textit{M. Chen} et al., J. Sci. Comput. 74, No. 2, 1034--1059 (2018; Zbl 1397.65177) Full Text: DOI arXiv
Böttcher, Albrecht; Garoni, Carlo; Serra-Capizzano, Stefano Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. (English. Russian original) Zbl 1482.47049 Sb. Math. 208, No. 11, 1602-1627 (2017); translation from Mat. Sb. 208, No. 11, 29-55 (2017). MSC: 47B35 15B05 65F08 65F15 65L50 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Sb. Math. 208, No. 11, 1602--1627 (2017; Zbl 1482.47049); translation from Mat. Sb. 208, No. 11, 29--55 (2017) Full Text: DOI
Bertaccini, Daniele; Donatelli, Marco; Durastante, Fabio; Serra-Capizzano, Stefano Optimizing a multigrid Runge-Kutta smoother for variable-coefficient convection-diffusion equations. (English) Zbl 1375.35359 Linear Algebra Appl. 533, 507-535 (2017). MSC: 35Q35 15B05 65M55 76M12 90C26 90C59 68T05 65L06 15A18 PDFBibTeX XMLCite \textit{D. Bertaccini} et al., Linear Algebra Appl. 533, 507--535 (2017; Zbl 1375.35359) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano The theory of generalized locally Toeplitz sequences: a review, an extension, and a few representative applications. (English) Zbl 1472.47022 Bini, Dario A. (ed.) et al., Large truncated Toeplitz matrices, Toeplitz operators, and related topics. The Albrecht Böttcher anniversary volume. Basel: Birkhäuser/Springer. Oper. Theory: Adv. Appl. 259, 353-394 (2017). MSC: 47B35 47B06 15A18 15A60 65N06 65N30 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, Oper. Theory: Adv. Appl. 259, 353--394 (2017; Zbl 1472.47022) Full Text: DOI
Garoni, Carlo; Serra-Capizzano, Stefano Generalized locally Toeplitz sequences: theory and applications. Volume I. (English) Zbl 1376.15002 Cham: Springer (ISBN 978-3-319-53678-1/hbk; 978-3-319-53679-8/ebook). xi, 312 p. (2017). Reviewer: Francisco Marcellán (Leganes) MSC: 15-02 15B05 34A30 15A18 35K20 65M06 15B57 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, Generalized locally Toeplitz sequences: theory and applications. Volume I. Cham: Springer (2017; Zbl 1376.15002) Full Text: DOI
Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Sesana, Debora; Speleers, Hendrik Spectral analysis and spectral symbol of matrices in isogeometric Galerkin methods. (English) Zbl 1359.65252 Math. Comput. 86, No. 305, 1343-1373 (2017). MSC: 65N30 35J25 15B05 15A18 PDFBibTeX XMLCite \textit{C. Garoni} et al., Math. Comput. 86, No. 305, 1343--1373 (2017; Zbl 1359.65252) Full Text: DOI Link
Garoni, Carlo; Serra-Capizzano, Stefano The theory of locally Toeplitz sequences: a review, an extension, and a few representative applications. (English) Zbl 1360.65110 Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 529-565 (2016). MSC: 65F15 15B05 65N06 65N30 PDFBibTeX XMLCite \textit{C. Garoni} and \textit{S. Serra-Capizzano}, Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 529--565 (2016; Zbl 1360.65110) Full Text: DOI
Donatelli, Marco; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano; Sesana, Debora Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol. (English) Zbl 1413.65057 Numer. Linear Algebra Appl. 23, No. 1, 83-119 (2016). MSC: 65F10 15B05 65F08 PDFBibTeX XMLCite \textit{M. Donatelli} et al., Numer. Linear Algebra Appl. 23, No. 1, 83--119 (2016; Zbl 1413.65057) Full Text: DOI
Salinelli, E.; Serra-Capizzano, S.; Sesana, D. Eigenvalue-eigenvector structure of Schoenmakers-Coffey matrices via Toeplitz technology and applications. (English) Zbl 1330.15036 Linear Algebra Appl. 491, 138-160 (2016). MSC: 15B05 15A18 47B36 62H25 PDFBibTeX XMLCite \textit{E. Salinelli} et al., Linear Algebra Appl. 491, 138--160 (2016; Zbl 1330.15036) Full Text: DOI
Dell’Acqua, Pietro; Frangioni, Antonio; Serra-Capizzano, Stefano Accelerated multigrid for graph Laplacian operators. (English) Zbl 1410.65099 Appl. Math. Comput. 270, 193-215 (2015). MSC: 65F10 05C50 15A12 PDFBibTeX XMLCite \textit{P. Dell'Acqua} et al., Appl. Math. Comput. 270, 193--215 (2015; Zbl 1410.65099) Full Text: DOI Link
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik Robust and optimal multi-iterative techniques for Iga collocation linear systems. (English) Zbl 1425.65196 Comput. Methods Appl. Mech. Eng. 284, 1120-1146 (2015). MSC: 65N35 15B05 65D07 65F08 65N22 65N55 PDFBibTeX XMLCite \textit{M. Donatelli} et al., Comput. Methods Appl. Mech. Eng. 284, 1120--1146 (2015; Zbl 1425.65196) Full Text: DOI
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik Robust and optimal multi-iterative techniques for Iga Galerkin linear systems. (English) Zbl 1425.65136 Comput. Methods Appl. Mech. Eng. 284, 230-264 (2015). MSC: 65N22 15B05 65D07 65F08 65N30 65N55 PDFBibTeX XMLCite \textit{M. Donatelli} et al., Comput. Methods Appl. Mech. Eng. 284, 230--264 (2015; Zbl 1425.65136) Full Text: DOI Link
Garoni, Carlo; Serra-Capizzano, Stefano; Vassalos, Paris A general tool for determining the asymptotic spectral distribution of Hermitian matrix-sequences. (English) Zbl 1329.47019 Oper. Matrices 9, No. 3, 549-561 (2015). MSC: 47B06 15A60 15B05 PDFBibTeX XMLCite \textit{C. Garoni} et al., Oper. Matrices 9, No. 3, 549--561 (2015; Zbl 1329.47019) Full Text: DOI Link
Garoni, Carlo; Serra-Capizzano, Stefano; Sesana, Debora Tools for determining the asymptotic spectral distribution of non-Hermitian perturbations of Hermitian matrix-sequences and applications. (English) Zbl 1337.47045 Integral Equations Oper. Theory 81, No. 2, 213-225 (2015). MSC: 47B36 15A60 15A18 65N30 PDFBibTeX XMLCite \textit{C. Garoni} et al., Integral Equations Oper. Theory 81, No. 2, 213--225 (2015; Zbl 1337.47045) Full Text: DOI
Donatelli, Marco; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano; Sesana, Debora Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol. (English) Zbl 1335.15036 Appl. Math. Comput. 245, 158-173 (2014). MSC: 15B05 65F15 PDFBibTeX XMLCite \textit{M. Donatelli} et al., Appl. Math. Comput. 245, 158--173 (2014; Zbl 1335.15036) Full Text: DOI arXiv
Serra-Capizzano, Stefano; Sesana, Debora A note on the eigenvalues of \(g\)-circulants (and of \(g\)-Toeplitz, \(g\)-Hankel matrices). (English) Zbl 1312.15013 Calcolo 51, No. 4, 639-659 (2014). Reviewer: Tin Yau Tam (Auburn) MSC: 15A18 65F10 15B05 PDFBibTeX XMLCite \textit{S. Serra-Capizzano} and \textit{D. Sesana}, Calcolo 51, No. 4, 639--659 (2014; Zbl 1312.15013) Full Text: DOI
Garoni, Carlo; Manni, Carla; Pelosi, Francesca; Serra-Capizzano, Stefano; Speleers, Hendrik On the spectrum of stiffness matrices arising from isogeometric analysis. (English) Zbl 1298.65172 Numer. Math. 127, No. 4, 751-799 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 15A12 15A18 PDFBibTeX XMLCite \textit{C. Garoni} et al., Numer. Math. 127, No. 4, 751--799 (2014; Zbl 1298.65172) Full Text: DOI Link
Del Prete, Vincenza; Di Benedetto, Fabio; Donatelli, Marco; Serra-Capizzano, Stefano Symbol approach in a signal-restoration problem involving block Toeplitz matrices. (English) Zbl 1294.15020 J. Comput. Appl. Math. 272, 399-416 (2014). MSC: 15B05 94A12 15A18 15A12 65F35 PDFBibTeX XMLCite \textit{V. Del Prete} et al., J. Comput. Appl. Math. 272, 399--416 (2014; Zbl 1294.15020) Full Text: DOI
Donatelli, Marco; Neytcheva, Maya; Serra-Capizzano, Stefano Canonical eigenvalue distribution of multilevel block Toeplitz sequences with non-Hermitian symbols. (English) Zbl 1261.15011 Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 269-291 (2012). MSC: 15A18 15B05 15A60 PDFBibTeX XMLCite \textit{M. Donatelli} et al., Oper. Theory: Adv. Appl. 221, 269--291 (2012; Zbl 1261.15011) Full Text: DOI
Donatelli, Marco; Serra-Capizzano, Stefano; Sesana, Debora Multigrid methods for Toeplitz linear systems with different size reduction. (English) Zbl 1251.65047 BIT 52, No. 2, 305-327 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65N55 15B05 PDFBibTeX XMLCite \textit{M. Donatelli} et al., BIT 52, No. 2, 305--327 (2012; Zbl 1251.65047) Full Text: DOI arXiv
Estatico, Claudio; Ngondiep, Eric; Serra-Capizzano, Stefano; Sesana, Debora A note on the (regularizing) preconditioning of \(g\)-Toeplitz sequences via \(g\)-circulants. (English) Zbl 1244.65045 J. Comput. Appl. Math. 236, No. 8, 2090-2111 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 15B05 PDFBibTeX XMLCite \textit{C. Estatico} et al., J. Comput. Appl. Math. 236, No. 8, 2090--2111 (2012; Zbl 1244.65045) Full Text: DOI
Serra-Capizzano, Stefano; Sesana, Debora Approximating classes of sequences: The Hermitian case. (English) Zbl 1211.65041 Linear Algebra Appl. 434, No. 4, 1163-1170 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F10 15A18 PDFBibTeX XMLCite \textit{S. Serra-Capizzano} and \textit{D. Sesana}, Linear Algebra Appl. 434, No. 4, 1163--1170 (2011; Zbl 1211.65041) Full Text: DOI
Ngondiep, Eric; Serra-Capizzano, Stefano; Sesana, Debora Spectral features and asymptotic properties for \(g\)-circulants and \(g\)-Toeplitz sequences. (English) Zbl 1206.15010 SIAM J. Matrix Anal. Appl. 31, No. 4, 1663-1687 (2010). Reviewer: R. Militaru (Craiova) MSC: 15A18 15B05 PDFBibTeX XMLCite \textit{E. Ngondiep} et al., SIAM J. Matrix Anal. Appl. 31, No. 4, 1663--1687 (2010; Zbl 1206.15010) Full Text: DOI arXiv
Cicone, Antonio; Serra-Capizzano, Stefano Google pageranking problem: The model and the analysis. (English) Zbl 1197.65035 J. Comput. Appl. Math. 234, No. 11, 3140-3169 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F15 65Y20 15A21 68P10 PDFBibTeX XMLCite \textit{A. Cicone} and \textit{S. Serra-Capizzano}, J. Comput. Appl. Math. 234, No. 11, 3140--3169 (2010; Zbl 1197.65035) Full Text: DOI
Serra-Capizzano, Stefano; Sesana, Debora; Strouse, Elizabeth The eigenvalue distribution of products of Toeplitz matrices - clustering and attraction. (English) Zbl 1202.15014 Linear Algebra Appl. 432, No. 10, 2658-2678 (2010). Reviewer: Mihail Voicu (Iaşi) MSC: 15A18 15B05 15A12 47B36 47B65 PDFBibTeX XMLCite \textit{S. Serra-Capizzano} et al., Linear Algebra Appl. 432, No. 10, 2658--2678 (2010; Zbl 1202.15014) Full Text: DOI
Cicone, Antonio; Guglielmi, Nicola; Serra-Capizzano, Stefano; Zennaro, Marino Finiteness property of pairs of \(2\times 2\) sign-matrices via real extremal polytope norms. (English) Zbl 1186.15006 Linear Algebra Appl. 432, No. 2-3, 796-816 (2010). Reviewer: Petko Hr. Petkov (Sofia) MSC: 15A18 65F15 15B35 15A60 PDFBibTeX XMLCite \textit{A. Cicone} et al., Linear Algebra Appl. 432, No. 2--3, 796--816 (2010; Zbl 1186.15006) Full Text: DOI
Serra-Capizzano, Stefano; Sesana, Debora Tools for the eigenvalue distribution in a non-Hermitian setting. (English) Zbl 1155.15009 Linear Algebra Appl. 430, No. 1, 423-437 (2009). Reviewer: Jinhai Chen (Hongkong) MSC: 15A18 15A12 PDFBibTeX XMLCite \textit{S. Serra-Capizzano} and \textit{D. Sesana}, Linear Algebra Appl. 430, No. 1, 423--437 (2009; Zbl 1155.15009) Full Text: DOI
Aricò, A.; Donatelli, M.; Serra-Capizzano, S. Spectral analysis of the anti-reflective algebra. (English) Zbl 1140.15005 Linear Algebra Appl. 428, No. 2-3, 657-675 (2008). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A18 94A08 94A12 PDFBibTeX XMLCite \textit{A. Aricò} et al., Linear Algebra Appl. 428, No. 2--3, 657--675 (2008; Zbl 1140.15005) Full Text: DOI
Estatico, Claudio; Serra-Capizzano, Stefano Superoptimal approximation for unbounded symbols. (English) Zbl 1137.65025 Linear Algebra Appl. 428, No. 2-3, 564-585 (2008). Reviewer: R. Militaru (Craiova) MSC: 65F35 65F10 15A30 15A60 47B48 65F15 15A12 PDFBibTeX XMLCite \textit{C. Estatico} and \textit{S. Serra-Capizzano}, Linear Algebra Appl. 428, No. 2--3, 564--585 (2008; Zbl 1137.65025) Full Text: DOI
Beckermann, Bernhard; Serra-Capizzano, Stefano On the asymptotic spectrum of finite element matrix sequences. (English) Zbl 1140.65080 SIAM J. Numer. Anal. 45, No. 2, 746-769 (2007). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65F10 15A18 15A12 35J25 15B48 PDFBibTeX XMLCite \textit{B. Beckermann} and \textit{S. Serra-Capizzano}, SIAM J. Numer. Anal. 45, No. 2, 746--769 (2007; Zbl 1140.65080) Full Text: DOI
Serra Capizzano, Stefano An elementary proof of the exponential conditioning of real Vandermonde matrices. (English) Zbl 1139.15002 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 10, No. 3, 761-768 (2007). Reviewer: Alan L. Andrew (Bundoora) MSC: 15A12 65F35 PDFBibTeX XMLCite \textit{S. Serra Capizzano}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 10, No. 3, 761--768 (2007; Zbl 1139.15002)
Serra-Capizzano, Stefano Simplification of a result on banded Toeplitz matrices and BVM methods. (English) Zbl 1129.65031 Numer. Math. 107, No. 1, 175-179 (2007). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65F30 15A12 15A18 15B48 65L20 PDFBibTeX XMLCite \textit{S. Serra-Capizzano}, Numer. Math. 107, No. 1, 175--179 (2007; Zbl 1129.65031) Full Text: DOI
Golinskii, Leonid; Serra-Capizzano, Stefano The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences. (English) Zbl 1111.15013 J. Approximation Theory 144, No. 1, 84-102 (2007). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 15A12 15B57 PDFBibTeX XMLCite \textit{L. Golinskii} and \textit{S. Serra-Capizzano}, J. Approx. Theory 144, No. 1, 84--102 (2007; Zbl 1111.15013) Full Text: DOI arXiv
Horn, Roger A.; Serra-Capizzano, Stefano A general setting for the parametric google matrix. (English) Zbl 1146.65315 Internet Math. 3, No. 4, 385-411 (2006). MSC: 65F15 15A21 15B51 68P10 PDFBibTeX XMLCite \textit{R. A. Horn} and \textit{S. Serra-Capizzano}, Internet Math. 3, No. 4, 385--411 (2006; Zbl 1146.65315) Full Text: DOI
Holmgren, Sverker; Serra-Capizzano, Stefano; Sundqvist, Per Can one hear the composition of a drum? (English) Zbl 1167.35425 Mediterr. J. Math. 3, No. 2, 227-249 (2006). MSC: 35P05 65F10 15A18 35R30 35F15 PDFBibTeX XMLCite \textit{S. Holmgren} et al., Mediterr. J. Math. 3, No. 2, 227--249 (2006; Zbl 1167.35425) Full Text: DOI
Serra-Capizzano, Stefano; Bertaccini, Daniele; Golub, Gene H. How to deduce a proper eigenvalue cluster from a proper singular value cluster in the nonnormal case. (English) Zbl 1088.65031 SIAM J. Matrix Anal. Appl. 27, No. 1, 82-86 (2005). Reviewer: Shuhuang Xiang (Changsha) MSC: 65F10 65F35 15A18 15A12 PDFBibTeX XMLCite \textit{S. Serra-Capizzano} et al., SIAM J. Matrix Anal. Appl. 27, No. 1, 82--86 (2005; Zbl 1088.65031) Full Text: DOI
Brezinski, Claude; Redivo-Zaglia, Michela; Serra-Capizzano, Stefano Extrapolation methods for PageRank computations. (English. Abridged French version) Zbl 1066.65040 C. R., Math., Acad. Sci. Paris 340, No. 5, 393-397 (2005). MSC: 65F15 15B51 PDFBibTeX XMLCite \textit{C. Brezinski} et al., C. R., Math., Acad. Sci. Paris 340, No. 5, 393--397 (2005; Zbl 1066.65040) Full Text: DOI
Noutsos, D.; Serra Capizzano, Stefano; Vassalos, P. Asymptotic behavior of the condition number of two-level Toeplitz matrix sequences. (English) Zbl 1066.15002 Linear Algebra Appl. 395, 121-140 (2005). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A12 15B57 PDFBibTeX XMLCite \textit{D. Noutsos} et al., Linear Algebra Appl. 395, 121--140 (2005; Zbl 1066.15002) Full Text: DOI
Huckle, Thomas; Serra-Capizzano, Stefano The spectra of preconditioned Toeplitz matrix sequences can have gaps. (English) Zbl 1066.65051 SIAM J. Matrix Anal. Appl. 25, No. 4, 930-946 (2004). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 65F35 65F10 15A18 PDFBibTeX XMLCite \textit{T. Huckle} and \textit{S. Serra-Capizzano}, SIAM J. Matrix Anal. Appl. 25, No. 4, 930--946 (2004; Zbl 1066.65051) Full Text: DOI
Noutsos, D.; Serra Capizzano, Stefano; Vassalos, P. Matrix algebra preconditioners for multilevel Toeplitz systems do not insure optimal convergence rate. (English) Zbl 1059.65041 Theor. Comput. Sci. 315, No. 2-3, 557-579 (2004). Reviewer: Iulian Coroian (Baia Mare) MSC: 65F35 65F10 15A12 PDFBibTeX XMLCite \textit{D. Noutsos} et al., Theor. Comput. Sci. 315, No. 2--3, 557--579 (2004; Zbl 1059.65041) Full Text: DOI
Aricó, Antonio; Donatelli, Marco; Serra-Capizzano, Stefano MGM optimal convergence for certain (multilevel) structured linear systems. (English) Zbl 1354.65061 PAMM, Proc. Appl. Math. Mech. 3, 543-544 (2003). MSC: 65F10 15B05 PDFBibTeX XMLCite \textit{A. Aricó} et al., PAMM, Proc. Appl. Math. Mech. 3, 543--544 (2003; Zbl 1354.65061) Full Text: DOI
Hladnik, Milan; Holbrook, John; Serra Capizzano, Stefano Fat diagonals and Fourier analysis. (English) Zbl 1037.15008 SIAM J. Matrix Anal. Appl. 24, No. 4, 1060-1070 (2003). Reviewer: Alexey Alimov (Moskva) MSC: 15A18 15A60 PDFBibTeX XMLCite \textit{M. Hladnik} et al., SIAM J. Matrix Anal. Appl. 24, No. 4, 1060--1070 (2003; Zbl 1037.15008) Full Text: DOI
Fasino, Dario; Serra Capizzano, Stefano From Toeplitz matrix sequences to zero distribution of orthogonal polynomials. (English) Zbl 1044.42024 Olshevsky, Vadim (ed.), Fast algorithms for structured matrices: Theory and applications. AMS-IMS-SIAM joint summer research conference on fast algorithms in mathematics, computer science and engineering, August 5–9, 2001, South Hadley, Massachusetts. Providence, RI: American Mathematical Society (AMS); Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-8218-3177-1/pbk; 0-89871-543-1/pbk). Contemp. Math. 323, 329-339 (2003). Reviewer: Arno Kuijlaars (Leuven) MSC: 42C05 15A18 PDFBibTeX XMLCite \textit{D. Fasino} and \textit{S. Serra Capizzano}, Contemp. Math. 323, 329--339 (2003; Zbl 1044.42024)
Serra Capizzano, Stefano Generalized locally Toeplitz sequences: Spectral analysis and applications to discretized partial differential equations. (English) Zbl 1028.65109 Linear Algebra Appl. 366, 371-402 (2003). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N06 35J25 15A18 PDFBibTeX XMLCite \textit{S. Serra Capizzano}, Linear Algebra Appl. 366, 371--402 (2003; Zbl 1028.65109) Full Text: DOI
Serra Capizzano, Stefano; Tyrtyshnikov, E. How to prove that a preconditioner cannot be superlinear. (English) Zbl 1021.15005 Math. Comput. 72, No. 243, 1305-1316 (2003). Reviewer: Horst Hollatz (Magdeburg) MSC: 15A12 65F35 15B57 PDFBibTeX XMLCite \textit{S. Serra Capizzano} and \textit{E. Tyrtyshnikov}, Math. Comput. 72, No. 243, 1305--1316 (2003; Zbl 1021.15005) Full Text: DOI
Serra-Capizzano, Stefano More inequalities and asymptotics for matrix valued linear positive operators: The noncommutative case. (English) Zbl 1041.47017 Böttcher, Albrecht (ed.) et al., Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6877-2/hbk). Oper. Theory, Adv. Appl. 135, 293-315 (2002). Reviewer: Şafak Alpay (Ankara) MSC: 47B65 15A45 47A63 47B35 PDFBibTeX XMLCite \textit{S. Serra-Capizzano}, in: Toeplitz matrices and singular integral equations. The Bernd Silbermann anniversary volume. Basel: Birkhäuser. 293--315 (2002; Zbl 1041.47017)
Di Benedetto, Fabio; Serra Capizzano, Stefano A note on the superoptimal matrix algebra operators. (English) Zbl 1016.65010 Linear Multilinear Algebra 50, No. 4, 343-372 (2002). Reviewer: A.Meister (Hamburg) MSC: 65F10 15A30 15A60 47B48 PDFBibTeX XMLCite \textit{F. Di Benedetto} and \textit{S. Serra Capizzano}, Linear Multilinear Algebra 50, No. 4, 343--372 (2002; Zbl 1016.65010) Full Text: DOI
Serra Capizzano, Stefano Test functions, growth conditions and Toeplitz matrices. (English) Zbl 1025.15014 Proceedings of the fourth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 22-28, 2000. Vol. II. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 68(2), 791-795 (2002). MSC: 15A18 42A16 15B57 41-XX PDFBibTeX XMLCite \textit{S. Serra Capizzano}, in: Proceedings of the fourth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 22--28, 2000. Vol. II. Palermo: Circolo Matemàtico di Palermo. 791--795 (2002; Zbl 1025.15014)