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
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
Adriani, Andrea; Bianchi, Davide; Serra-Capizzano, Stefano Asymptotic spectra of large (grid) graphs with a uniform local structure. I: Theory. (English) Zbl 1464.05224 Milan J. Math. 88, No. 2, 409-454 (2020). MSC: 05C50 05C22 05C82 34B45 65N22 PDFBibTeX XMLCite \textit{A. Adriani} et al., Milan J. Math. 88, No. 2, 409--454 (2020; Zbl 1464.05224) Full Text: DOI arXiv
Lyche, Tom (ed.); Manni, Carla (ed.); Speleers, Hendrik (ed.) [Kunoth, Angela; Sangalli, Giancarlo; Serra-Capizzano, Stefano] Splines and PDEs: from approximation theory to numerical linear algebra. Lecture notes from the summer school, Cetraro, Italy, July 2–7, 2017. (English) Zbl 1404.65003 Lecture Notes in Mathematics 2219. CIME Foundation Subseries. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-94910-9/pbk; 978-3-319-94911-6/ebook). ix, 315 p. (2018). MSC: 65-06 65Mxx 65Nxx 65D07 65Fxx 00B25 PDFBibTeX XMLCite \textit{T. Lyche} (ed.) et al., Splines and PDEs: from approximation theory to numerical linear algebra. Lecture notes from the summer school, Cetraro, Italy, July 2--7, 2017. Cham: Springer; Florence: Fondazione CIME (2018; Zbl 1404.65003) 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
Bai, Zheng-Jian; Donatelli, Marco; Serra-Capizzano, Stefano Fast preconditioners for total variation deblurring with antireflective boundary conditions. (English) Zbl 1269.65144 SIAM J. Matrix Anal. Appl. 32, No. 3, 785-805 (2011). MSC: 65R32 45E10 94A08 94A12 65F10 65F08 65Y20 PDFBibTeX XMLCite \textit{Z.-J. Bai} et al., SIAM J. Matrix Anal. Appl. 32, No. 3, 785--805 (2011; Zbl 1269.65144) Full Text: DOI arXiv
Berry, Michael W. (ed.); Bini, Dario A. (ed.); Mastronardi, Nicola (ed.); Serra-Capizzano, Stefano (ed.) Special issue: Numerical linear algebra, internet and large scale applications. Selected papers based on the presentations at the international workshop, Monopoli, Italy, September 9–14, 2007. (English) Zbl 1198.65006 J. Comput. Appl. Math. 234, No. 11, 3073-3212 (2010). MSC: 65-06 65Fxx 00B25 PDFBibTeX XML
Donatelli, Marco; Estatico, Claudio; Serra-Capizzano, Stefano Boundary conditions and multiple-image re-blurring: The LBT case. (English) Zbl 1101.94005 J. Comput. Appl. Math. 198, No. 2, 426-442 (2007). MSC: 94A08 65F22 65J10 65R10 62H35 93E24 PDFBibTeX XMLCite \textit{M. Donatelli} et al., J. Comput. Appl. Math. 198, No. 2, 426--442 (2007; Zbl 1101.94005) Full Text: DOI
Noutsos, D.; Capizzano, S. Serra; Vassalos, P. Block band Toeplitz preconditioners derived from generating function approximations: analysis and applications. (English) Zbl 1105.65050 Numer. Math. 104, No. 3, 339-376 (2006). Reviewer: Michael Jung (Dresden) MSC: 65F35 65F10 65Y20 65F22 PDFBibTeX XMLCite \textit{D. Noutsos} et al., Numer. Math. 104, No. 3, 339--376 (2006; Zbl 1105.65050) Full Text: DOI
Donatelli, Marco; Serra-Capizzano, Stefano On the regularizing power of multigrid-type algorithms. (English) Zbl 1103.65043 SIAM J. Sci. Comput. 27, No. 6, 2053-2076 (2006). MSC: 65F22 65F10 94A08 PDFBibTeX XMLCite \textit{M. Donatelli} and \textit{S. Serra-Capizzano}, SIAM J. Sci. Comput. 27, No. 6, 2053--2076 (2006; Zbl 1103.65043) Full Text: DOI Link
Chan, R. H.; Serra-Capizzano, S.; Tablino-Possio, C. Two-grid methods for banded linear systems from DCT III algebra. (English) Zbl 1164.65341 Numer. Linear Algebra Appl. 12, No. 2-3, 241-249 (2005). MSC: 65F10 65M55 65N55 65R20 42A05 PDFBibTeX XMLCite \textit{R. H. Chan} et al., Numer. Linear Algebra Appl. 12, No. 2--3, 241--249 (2005; Zbl 1164.65341) Full Text: DOI
Serra-Capizzano, Stefano; Tablino-Possio, Cristina Multigrid methods for multilevel circulant matrices. (English) Zbl 1079.65033 SIAM J. Sci. Comput. 26, No. 1, 55-85 (2004). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F10 65N55 35J40 65N06 65F35 PDFBibTeX XMLCite \textit{S. Serra-Capizzano} and \textit{C. Tablino-Possio}, SIAM J. Sci. Comput. 26, No. 1, 55--85 (2004; Zbl 1079.65033) Full Text: DOI
Aricò, Antonio; Donatelli, M.; Serra Capizzano, Stefano V-cycle optimal convergence for certain (multilevel) structured linear systems. (English) Zbl 1105.65322 SIAM J. Matrix Anal. Appl. 26, No. 1, 186-214 (2004). MSC: 65F10 65N55 35J25 PDFBibTeX XMLCite \textit{A. Aricò} et al., SIAM J. Matrix Anal. Appl. 26, No. 1, 186--214 (2004; Zbl 1105.65322) 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
Serra Capizzano, Stefano A note on antireflective boundary conditions and fast deblurring models. (English) Zbl 1062.65152 SIAM J. Sci. Comput. 25, No. 4, 1307-1325 (2003). MSC: 65T50 65F10 65Y20 94A08 94A12 PDFBibTeX XMLCite \textit{S. Serra Capizzano}, SIAM J. Sci. Comput. 25, No. 4, 1307--1325 (2003; Zbl 1062.65152) Full Text: DOI
Serra-Capizzano, Stefano Practical band Toeplitz preconditioning and boundary layer effects. (English) Zbl 1044.65037 Numer. Algorithms 34, No. 2-4, 427-440 (2003). Reviewer: János Karátson (Budapest) MSC: 65F35 65F10 PDFBibTeX XMLCite \textit{S. Serra-Capizzano}, Numer. Algorithms 34, No. 2--4, 427--440 (2003; Zbl 1044.65037) Full Text: DOI
Noutsos, D.; Serra Capizzano, Stefano; Vassalos, P. Spectral equivalence and matrix algebra preconditioners for multilevel Toeplitz systems: A negative result. (English) Zbl 1039.65029 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) (ISBN 0-8218-3177-1/pbk; 0-89871-543-1/pbk). Contemp. Math. 323, 313-322 (2003). MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{D. Noutsos} et al., Contemp. Math. 323, 313--322 (2003; Zbl 1039.65029)
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; Tilli, Paolo On unitarily invariant norms of matrix-valued linear positive operators. (English) Zbl 1055.15039 J. Inequal. Appl. 7, No. 3, 309-330 (2002). MSC: 15A60 15A45 15A69 47B35 PDFBibTeX XMLCite \textit{S. Serra Capizzano} and \textit{P. Tilli}, J. Inequal. Appl. 7, No. 3, 309--330 (2002; Zbl 1055.15039) Full Text: DOI
Frangioni, Antonio; Serra Capizzano, Stefano Spectral analysis of (sequences of) graph matrices. (English) Zbl 1004.05041 SIAM J. Matrix Anal. Appl. 23, No. 2, 339-348 (2001). Reviewer: Dragoš Cvetković (Beograd) MSC: 05C50 15A12 65F10 90C51 PDFBibTeX XMLCite \textit{A. Frangioni} and \textit{S. Serra Capizzano}, SIAM J. Matrix Anal. Appl. 23, No. 2, 339--348 (2001; Zbl 1004.05041) Full Text: DOI
Serra Capizzano, Stefano; Tilli, Paolo Extreme singular values and eigenvalues of non-Hermitian block Toeplitz matrices. (English) Zbl 0937.15013 J. Comput. Appl. Math. 108, No. 1-2, 113-130 (1999). Reviewer: Vaclav Burjan (Praha) MSC: 15A42 15A18 65F10 65F35 PDFBibTeX XMLCite \textit{S. Serra Capizzano} and \textit{P. Tilli}, J. Comput. Appl. Math. 108, No. 1--2, 113--130 (1999; Zbl 0937.15013) Full Text: DOI
Serra, Stefano A Korovkin-type theory for finite Toeplitz operators via matrix algebras. (English) Zbl 0930.65024 Numer. Math. 82, No. 1, 117-142 (1999). Reviewer: H.Hollatz (Magdeburg) MSC: 65F10 65F35 47B32 PDFBibTeX XMLCite \textit{S. Serra}, Numer. Math. 82, No. 1, 117--142 (1999; Zbl 0930.65024) Full Text: DOI
Di Benedetto, Fabio; Serra Capizzano, Stefano A unifying approach to abstract matrix algebra preconditioning. (English) Zbl 0930.65050 Numer. Math. 82, No. 1, 57-90 (1999). Reviewer: K.Georgiev (Sofia) MSC: 65F35 65F10 PDFBibTeX XMLCite \textit{F. Di Benedetto} and \textit{S. Serra Capizzano}, Numer. Math. 82, No. 1, 57--90 (1999; Zbl 0930.65050) Full Text: DOI
Serra Capizzano, Stefano Korovkin theorems and linear positive Gram matrix algebra approximations of Toeplitz matrices. (English) Zbl 0936.65059 Linear Algebra Appl. 284, No. 1-3, 307-334 (1998). Reviewer: G.Jumarie (Montréal) MSC: 65F35 47N40 41A36 PDFBibTeX XMLCite \textit{S. Serra Capizzano}, Linear Algebra Appl. 284, No. 1--3, 307--334 (1998; Zbl 0936.65059) Full Text: DOI
Fiorentino, Giuseppe; Serra, Stefano Fast parallel solvers for elliptic problems. (English) Zbl 0857.65107 Comput. Math. Appl. 32, No. 2, 61-68 (1996). MSC: 65N06 65Y05 65F35 35J40 65F10 PDFBibTeX XMLCite \textit{G. Fiorentino} and \textit{S. Serra}, Comput. Math. Appl. 32, No. 2, 61--68 (1996; Zbl 0857.65107) Full Text: DOI
Serra, Stefano A practical algorithm to design fast and optimal band-Toeplitz preconditioners for Hermitian Toeplitz systems. (English) Zbl 0904.65037 Calcolo 33, No. 3-4, 209-221 (1996). MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{S. Serra}, Calcolo 33, No. 3--4, 209--221 (1996; Zbl 0904.65037) Full Text: DOI