Barbarino, Giovanni; Claesson, Melker; Ekström, Sven-Erik; Garoni, Carlo; Meadon, David; Speleers, Hendrik Matrix-less spectral approximation for large structured matrices. (English) Zbl 07964458 BIT 65, No. 1, Paper No. 2, 35 p. (2025). MSC: 65F15 15A18 65L10 65L15 15B05 65B05 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Bogoya, Manuel; Ekström, Sven-Erik; Serra-Capizzano, Stefano; Vassalos, Paris Matrix-less methods for the spectral approximation of large non-Hermitian Toeplitz matrices: a concise theoretical analysis and a numerical study. (English) Zbl 07893433 Numer. Linear Algebra Appl. 31, No. 4, e2545, 30 p. (2024). MSC: 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Full Text: arXiv
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 × Cite Format Result Cite Full Text: arXiv OA License
Ekström, Sven-Erik; Meadon, David On the eigenvalues of Toeplitz matrices with two off-diagonals. arXiv:2305.15107 Preprint, arXiv:2305.15107 [math.NA] (2023). MSC: 15A18 15B05 65F15 × Cite Format Result Cite Full Text: arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barakitis, Nikos; Ekström, Sven-Erik; Vassalos, Paris Preconditioners for fractional diffusion equations based on the spectral symbol. (English) Zbl 07584149 Numer. Linear Algebra Appl. 29, No. 5, e2441, 22 p. (2022). Reviewer: Adhemar Bultheel (Leuven) MSC: 65M06 65M12 35R11 65F08 65F10 65F15 65F35 26A33 15B05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ekström, Sven-Erik; Vassalos, Paris A matrix-less method to approximate the spectrum and the spectral function of Toeplitz matrices with real eigenvalues. (English) Zbl 1480.65102 Numer. Algorithms 89, No. 2, 701-720 (2022). MSC: 65F60 15B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbarino, Giovanni; Ekström, Sven-Erik; Serra-Capizzano, Stefano; Vassalos, Paris Theoretical results for eigenvalues, singular values, and eigenvectors of (flipped) Toeplitz matrices and related computational proposals. arXiv:2203.06992 Preprint, arXiv:2203.06992 [math.NA] (2022). × Cite Format Result Cite Full Text: arXiv OA License
Ekström, Sven-Erik; Garoni, Carlo; Jozefiak, Adam; Perla, Jesse Eigenvalues and eigenvectors of tau matrices with applications to Markov processes and economics. (English) Zbl 1471.15004 Linear Algebra Appl. 627, 41-71 (2021). Reviewer: George Stoica (Saint John) MSC: 15A18 15A30 15B05 60K25 60G50 60J60 91G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Ekström, Sven-Erik; Serra-Capizzano, Stefano Eigenvalue isogeometric approximations based on B-splines: tools and results. (English) Zbl 1429.65167 Giannelli, Carlotta (ed.) et al., Advanced methods for geometric modeling and numerical simulation. Selected contributions from the INdAM workshop “DREAMS”, Rome, Italy, January 22–26, 2018. Cham: Springer. Springer INdAM Ser. 35, 57-76 (2019). MSC: 65L15 65D07 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Ekström, Sven-Erik; Garoni, Carlo A matrix-less and parallel interpolation-extrapolation algorithm for computing the eigenvalues of preconditioned banded symmetric Toeplitz matrices. (English) Zbl 1455.65051 Numer. Algorithms 80, No. 3, 819-848 (2019). MSC: 65F15 15B05 65D05 65B05 × Cite Format Result Cite Review PDF Full Text: DOI
Ekström, Sven-Erik; Vassalos, Paris A Matrix-Less Method to Approximate the Spectrum and the Spectral Function of Toeplitz Matrices with Complex Eigenvalues. arXiv:1910.13810 Preprint, arXiv:1910.13810 [math.NA] (2019). × Cite Format Result Cite Full Text: arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Berggren, Martin; Ekstrom, Sven-Erik; Nordstrom, Jan A discontinuous Galerkin extension of the vertex-centered edge-based finite volume method. (English) Zbl 1364.76108 Commun. Comput. Phys. 5, No. 2-4, 456-468 (2009). MSC: 76M12 65N08 65N15 × Cite Format Result Cite Review PDF