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
Chen, Minghua; Min, Chao; Shi, Jiankang; Wang, Jizeng Error analysis of a collocation method on graded meshes for nonlocal diffusion problems with weakly singular kernels. (English) Zbl 07951576 J. Sci. Comput. 101, No. 3, Paper No. 84, 26 p. (2024). MSC: 65Mxx 65Nxx 65Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Minghua; Cao, Rongjun; Serra-Capizzano, Stefano Fast algebraic multigrid for block-structured dense systems arising from nonlocal diffusion problems. (English) Zbl 07930242 Calcolo 61, No. 4, Paper No. 57, 27 p. (2024). MSC: 65N55 65N35 15B05 15A18 65T50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
She, Zi-Hang; Wen, Yong-Qi; Qiu, Yi-Feng; Gu, Xian-Ming Unconditionally convergent \(\tau\) splitting iterative methods for variable coefficient Riesz space fractional diffusion equations. (English) Zbl 07901134 Appl. Math. Lett. 158, Article ID 109252, 7 p. (2024). MSC: 65Fxx 65Mxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Bucht, Teodor; Christiansen, Jacob S. A geometric approach to approximating the limit set of eigenvalues for banded Toeplitz matrices. (English) Zbl 07900920 SIAM J. Matrix Anal. Appl. 45, No. 3, 1573-1598 (2024). MSC: 15B05 15A18 47B06 47B35 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Xue-Lei; Ng, Michael K. A \(\tau\)-preconditioner for space fractional diffusion equation with non-separable variable coefficients. (English) Zbl 1545.65341 J. Sci. Comput. 100, No. 1, Paper No. 28, 34 p. (2024). MSC: 65M06 35R11 65F08 65F10 65M12 65M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogoya, M.; Grudsky, S. M.; Serra-Capizzano, S. Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols. (English) Zbl 1543.15023 Linear Algebra Appl. 697, 487-527 (2024). MSC: 15B05 65F15 47B35 15A18 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Schiavoni-Piazza, Alec J. A.; Meadon, David; Serra-Capizzano, Stefano The \(\beta\) maps: strong clustering and distribution results on the complex unit circle. (English) Zbl 07874839 Linear Algebra Appl. 697, 365-383 (2024). MSC: 15A18 15B05 47A55 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dravins, Ivo; Serra-Capizzano, Stefano; Neytcheva, Maya Spectral analysis of preconditioned matrices arising from stage-parallel implicit Runge-Kutta methods of arbitrarily high order. (English) Zbl 1539.65049 SIAM J. Matrix Anal. Appl. 45, No. 2, 1007-1034 (2024). MSC: 65F15 65L06 65F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hariprasad, M.; Venkatapathi, Murugesan Circulant decomposition of a matrix and the eigenvalues of Toeplitz type matrices. (English) Zbl 1545.65156 Appl. Math. Comput. 468, Article ID 128473, 14 p. (2024). MSC: 65F15 15A04 15B05 65F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogoya, M.; Serra-Capizzano, S.; Vassalos, P. Fast Toeplitz eigenvalue computations, joining interpolation-extrapolation matrix-less algorithms and simple-loop theory: the preconditioned setting. (English) Zbl 1545.65152 Appl. Math. Comput. 466, Article ID 128483, 18 p. (2024). MSC: 65F15 15A18 15B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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. (English) Zbl 1535.65040 Numer. Algorithms 95, No. 4, 1769-1799 (2024). MSC: 65F08 65F10 15B05 65M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano Fast non-Hermitian Toeplitz eigenvalue computations, joining matrixless algorithms and FDE approximation matrices. (English) Zbl 1534.65057 SIAM J. Matrix Anal. Appl. 45, No. 1, 284-305 (2024). MSC: 65F15 15B05 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benedusi, Pietro; Ferrari, Paola; Rognes, Marie E.; Serra-Capizzano, Stefano Modeling excitable cells with the EMI equations: spectral analysis and iterative solution strategy. (English) Zbl 1533.65045 J. Sci. Comput. 98, No. 3, Paper No. 58, 23 p. (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65F08 15B05 62F10 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Chengtao; Su, Yangfeng An aggregation-based two-grid method for multilevel block Toeplitz linear systems. (English) Zbl 1534.65053 J. Sci. Comput. 98, No. 3, Paper No. 54, 47 p. (2024). MSC: 65F10 15B05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogoya, M.; Böttcher, A.; Grudsky, S. M. Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher-Hartwig symbols. (English) Zbl 07798264 J. Math. Sci., New York 271, No. 2, Series A, 176-196 (2023). MSC: 47B35 15A18 15B05 65F15 82B20 × Cite Format Result Cite Review PDF Full Text: DOI
Bogoya, Manuel; Grudsky, Sergei M. Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity. (English) Zbl 07790621 Numer. Linear Algebra Appl. 30, No. 5, e2496, 15 p. (2023). MSC: 65F15 15A18 15B05 × Cite Format Result Cite Review PDF Full Text: DOI
Montardini, M.; Sangalli, G.; Tani, M. A low-rank isogeometric solver based on Tucker tensors. (English) Zbl 1536.65150 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116472, 25 p. (2023). MSC: 65N30 65D07 65F55 15A69 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Yuan-Yuan; Qu, Wei; Lei, Siu-Long On \(\tau\)-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations. (English) Zbl 1538.65246 Comput. Math. Appl. 145, 124-140 (2023). MSC: 65M06 65N06 35R11 65M12 65F08 65F10 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Yao-Yuan; Sun, Hai-Wei; Tam, Sik-Chung Numerical study of a fast two-level Strang splitting method for spatial fractional Allen-Cahn equations. (English) Zbl 07698931 J. Sci. Comput. 95, No. 3, Paper No. 71, 23 p. (2023). MSC: 65Mxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Eidelman, Yuli; Haimovici, Iulian Improved bisection eigenvalue method for band symmetric Toeplitz matrices. (English) Zbl 1524.65166 ETNA, Electron. Trans. Numer. Anal. 58, 316-347 (2023). MSC: 65F15 15B05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ahmadi Kakavandi, Bijan; Nobari, Elham Approximate diagonalization of some Toeplitz operators and matrices. (English) Zbl 1523.47042 Linear Multilinear Algebra 70, No. 21, 7093-7114 (2022). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B35 65F15 62M15 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
Xu, Xingjian; Chen, Minghua Discovery of subdiffusion problem with noisy data via deep learning. (English) Zbl 07549611 J. Sci. Comput. 92, No. 1, Paper No. 23, 24 p. (2022). MSC: 65Mxx 68Txx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaysri, Thaniporn; Hadjidimos, Apostolos; Noutsos, Dimitrios; Tachyridis, Grigorios Band-times-circulant preconditioners for non-symmetric real Toeplitz systems with unknown generating function. (English) Zbl 1482.65041 East Asian J. Appl. Math. 12, No. 2, 285-322 (2022). MSC: 65F08 65F10 15B05 15A18 × 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 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
Weber, Ivy; Kreiss, Gunilla; Nazarov, Murtazo Stability analysis of high order methods for the wave equation. (English) Zbl 1524.65611 J. Comput. Appl. Math. 404, Article ID 113900, 20 p. (2022). MSC: 65M60 65M12 65M06 65N30 65F15 35L10 × Cite Format Result Cite Review PDF Full Text: DOI
Bianchi, Davide Analysis of the spectral symbol associated to discretization schemes of linear self-adjoint differential operators. (English) Zbl 07380433 Calcolo 58, No. 3, Paper No. 38, 47 p. (2021). MSC: 47B35 35P05 65N99 65D25 65F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Durastante, Fabio; Furci, Isabella Spectral analysis of saddle-point matrices from optimization problems with elliptic PDE constraints. (English) Zbl 1466.62395 Electron. J. Linear Algebra 36, 773-798 (2020). MSC: 62M15 65F08 15B05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Quoc Khanh Nguyen; Serra-Capizzano, Stefano; Wadbro, Eddie On using a zero lower bound on the physical density in material distribution topology optimization. (English) Zbl 1441.74169 Comput. Methods Appl. Mech. Eng. 359, Article ID 112669, 17 p. (2020). MSC: 74P15 65K10 × Cite Format Result Cite Review PDF Full Text: DOI Link
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
da Fonseca, Carlos M. Letter to the editor: Eigenpairs of some particular band Toeplitz matrices: a comment. (English) Zbl 1463.65069 Numer. Linear Algebra Appl. 27, No. 1, e2270, 3 p. (2020). MSC: 65F15 15B05 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI Link
Batalshchikov, A. A.; Grudsky, S. M.; Malisheva, I. S.; Mihalkovich, S. S.; Ramírez de Arellano, E.; Stukopin, V. A. Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols. (English) Zbl 1420.15019 Linear Algebra Appl. 580, 292-335 (2019). MSC: 15B05 15A18 41A25 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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; 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
Weng, Zhifeng; Cai, Yaoxiong An efficient algorithm with stabilized finite element method for the Stokes eigenvalue problem. (English) Zbl 1426.76317 Math. Probl. Eng. 2017, Article ID 6362505, 9 p. (2017). MSC: 76M10 65N30 65N25 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Sarvesh; Ruiz-Baier, Ricardo Equal order discontinuous finite volume element methods for the Stokes problem. (English) Zbl 1330.76085 J. Sci. Comput. 65, No. 3, 956-978 (2015). MSC: 76M12 65N08 65N30 65N12 76D07 65N15 × Cite Format Result Cite Review PDF Full Text: DOI Link