Edit Profile (opens in new tab) Donatelli, Marco Co-Author Distance Author ID: donatelli.marco Published as: Donatelli, Marco; Donatelli, M. External Links: MGP · ORCID Documents Indexed: 99 Publications since 2003, including 10 Additional arXiv Preprints 4 Contributions as Editor Co-Authors: 87 Co-Authors with 96 Joint Publications 2,065 Co-Co-Authors all top 5 Co-Authors 7 single-authored 41 Serra-Capizzano, Stefano 16 Mazza, Mariarosa 11 Buccini, Alessandro 9 Bianchi, Davide 9 Reichel, Lothar 7 Garoni, Carlo 7 Sesana, Debora 6 Aricò, Antonio 6 Bolten, Matthias 6 Ferrari, Paola 6 Manni, Carla 6 Speleers, Hendrik 5 Furci, Isabella 5 Romani, Lucia 5 Trotti, Ken 4 Dell’Acqua, Pietro 4 Durastante, Fabio 4 Estatico, Claudio 4 Krause, Rolf H. 3 Charina, Maria 3 Huckle, Thomas Kilian 3 Martinelli, Andrea 3 Semplice, Matteo 3 Turati, Valentina 2 Bai, Zhengjian 2 Calatroni, Luca 2 Cavoretto, Roberto 2 De Rossi, Alessandra 2 Dehghan Takht Fooladi, Mehdi 2 Hanke-Bourgeois, Martin 2 Huang, Ting-Zhu 2 Neytcheva, Maya G. 2 Novara, Paola 2 Ramlau, Ronny 1 Abbaszadeh, Mostafa 1 Aleotti, Stefano 1 Bellavia, Stefania 1 Bertaccini, Daniele 1 Cai, Yuantao 1 Cardone, Angelamaria 1 Cassani, Daniele 1 Chan, Raymond Hon-Fu 1 Cipolla, Stefano 1 Conti, Costanza 1 De la Cruz Cabrera, Omar 1 del Prete, Vincenza Mauceri 1 Di Benedetto, Fabio 1 Díaz Fuentes, Rafael 1 Dorostkar, Ali 1 Evangelista, Davide 1 Fan, Ya-Ru 1 Fenu, Caterina 1 Ferri, Fabio 1 Furchì, Davide 1 Garrappa, Roberto 1 Gazzola, Silvia 1 Huang, Jie 1 Kalhor, Yasmin 1 Kravvaritis, Christos D. 1 Langemann, Dirk 1 Lanza, Alessandro 1 Li, Wenbin 1 Loli Piccolomini, Elena 1 Luati, Alessandra 1 Mantica, Giorgio 1 Martin, David R. 1 Mastronardi, Nicola 1 Moghaderi, Hamid 1 Molteni, Matteo 1 Morigi, Serena 1 Nagy, James Gerard 1 Neuman, Arthur 1 Pennati, Vincenzo 1 Popolizio, Marina 1 Pragliola, Monica 1 Prato, Marco 1 Randazzo, Emma 1 Riccietti, Elisa 1 Rodriguez, Giuseppe 1 Santacesaria, Matteo 1 Santambrogio, Carlo 1 Seifert, Birger 1 Stolz, Heinrich 1 Tablino Possio, Cristina 1 Tasche, Manfred 1 Vilasi, Luca 1 Zhang, Weihong all top 5 Serials 10 Numerical Linear Algebra with Applications 7 Linear Algebra and its Applications 7 ETNA. Electronic Transactions on Numerical Analysis 6 Journal of Computational and Applied Mathematics 5 Inverse Problems 5 Applied Numerical Mathematics 5 Numerical Algorithms 4 SIAM Journal on Matrix Analysis and Applications 4 SIAM Journal on Scientific Computing 3 BIT 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 Calcolo 2 Journal of Scientific Computing 2 Advances in Computational Mathematics 2 Springer INdAM Series 1 Computers & Mathematics with Applications 1 Mathematics of Computation 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Computer Aided Geometric Design 1 Constructive Approximation 1 Journal of Physics A: Mathematical and General 1 Engineering Analysis with Boundary Elements 1 Computing and Visualization in Science 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Discrete and Continuous Dynamical Systems. Series B 1 Lecture Notes in Computer Science 1 Inverse Problems and Imaging 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Numerical Mathematics: Theory, Methods and Applications 1 Journal of Electrical and Computer Engineering all top 5 Fields 82 Numerical analysis (65-XX) 30 Information and communication theory, circuits (94-XX) 21 Partial differential equations (35-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 8 Computer science (68-XX) 5 Operator theory (47-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Fluid mechanics (76-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Optics, electromagnetic theory (78-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 877 times in 450 Documents Cited by ▼ Year ▼ Spectral analysis and structure preserving preconditioners for fractional diffusion equations. Zbl 1352.65305 Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano 95 2016 V-cycle optimal convergence for certain (multilevel) structured linear systems. Zbl 1105.65322 Aricò, Antonio; Donatelli, M.; Serra Capizzano, Stefano 50 2004 Robust and optimal multi-iterative techniques for Iga Galerkin linear systems. Zbl 1425.65136 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 44 2015 Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. Zbl 1355.65153 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 41 2017 Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations. Zbl 1380.65240 Moghaderi, Hamid; Dehghan, Mehdi; Donatelli, Marco; Mazza, Mariarosa 38 2017 A \(V\)-cycle multigrid for multilevel matrix algebras: proof of optimality. Zbl 1114.65033 Aricò, Antonio; Donatelli, Marco 35 2007 Spectral analysis and multigrid methods for finite volume approximations of space-fractional diffusion equations. Zbl 1405.65161 Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano 31 2018 Improved image deblurring with anti-reflective boundary conditions and re-blurring. Zbl 1167.65474 Donatelli, M.; Estatico, C.; Martinelli, A.; Serra-Capizzano, S. 30 2006 Robust and optimal multi-iterative techniques for Iga collocation linear systems. Zbl 1425.65196 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 26 2015 Iterated fractional Tikhonov regularization. Zbl 1434.65081 Bianchi, Davide; Buccini, Alessandro; Donatelli, Marco; Serra-Capizzano, Stefano 25 2015 Anti-reflective boundary conditions and re-blurring. Zbl 1088.94510 Donatelli, M.; Serra-Capizzano, S. 20 2005 Fast nonstationary preconditioned iterative methods for ill-posed problems, with application to image deblurring. Zbl 1285.65030 Donatelli, Marco; Hanke, Martin 20 2013 Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Zbl 1335.65096 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 20 2016 An algebraic generalization of local Fourier analysis for grid transfer operators in multigrid based on Toeplitz matrices. Zbl 1240.65353 Donatelli, M. 19 2010 Iterated Tikhonov regularization with a general penalty term. Zbl 1424.65045 Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar 18 2017 Square regularization matrices for large linear discrete ill-posed problems. Zbl 1289.65096 Donatelli, Marco; Neuman, Arthur; Reichel, Lothar 18 2012 The anti-reflective transform and regularization by filtering. Zbl 1258.94014 Aricò, A.; Donatelli, M.; Nagy, J.; Serra-Capizzano, S. 18 2011 Arnoldi methods for image deblurring with anti-reflective boundary conditions. Zbl 1338.94006 Donatelli, Marco; Martin, David; Reichel, Lothar 15 2015 Square smoothing regularization matrices with accurate boundary conditions. Zbl 1294.65099 Donatelli, M.; Reichel, L. 14 2014 Nonstationary iterated thresholding algorithms for image deblurring. Zbl 1318.94015 Huang, Jie; Donatelli, Marco; Chan, Raymond H. 14 2013 Regularization preconditioners for frame-based image deblurring with reduced boundary artifacts. Zbl 1382.94010 Cai, Yuantao; Donatelli, Marco; Bianchi, Davide; Huang, Ting-Zhu 14 2016 Multilevel Gauss-Newton methods for phase retrieval problems. Zbl 1099.78012 Seifert, Birger; Stolz, Heinrich; Donatelli, Marco; Langemann, Dirk; Tasche, Manfred 13 2006 On the regularizing power of multigrid-type algorithms. Zbl 1103.65043 Donatelli, Marco; Serra-Capizzano, Stefano 13 2006 Spectral analysis of the anti-reflective algebra. Zbl 1140.15005 Aricò, A.; Donatelli, M.; Serra-Capizzano, S. 12 2008 Multigrid methods for Toeplitz linear systems with different size reduction. Zbl 1251.65047 Donatelli, Marco; Serra-Capizzano, Stefano; Sesana, Debora 11 2012 Antireflective boundary conditions for deblurring problems. Zbl 1229.94007 Donatelli, Marco; Serra-Capizzano, Stefano 11 2010 Fast transforms for high order boundary conditions in deconvolution problems. Zbl 1204.65151 Donatelli, Marco 10 2010 A semiblind regularization algorithm for inverse problems with application to image deblurring. Zbl 1383.65058 Buccini, Alessandro; Donatelli, Marco; Ramlau, Ronny 9 2018 On generalized iterated Tikhonov regularization with operator-dependent seminorms. Zbl 1372.65117 Bianchi, Davide; Donatelli, Marco 9 2017 Symbol approach in a signal-restoration problem involving block Toeplitz matrices. Zbl 1294.15020 Del Prete, Vincenza; Di Benedetto, Fabio; Donatelli, Marco; Serra-Capizzano, Stefano 9 2014 Filter factor analysis of an iterative multilevel regularizing method. Zbl 1171.65369 Donatelli, Marco; Serra-Capizzano, Stefano 9 2008 Optimizing a multigrid Runge-Kutta smoother for variable-coefficient convection-diffusion equations. Zbl 1375.35359 Bertaccini, Daniele; Donatelli, Marco; Durastante, Fabio; Serra-Capizzano, Stefano 8 2017 On nondecreasing sequences of regularization parameters for nonstationary iterated Tikhonov. Zbl 1254.65135 Donatelli, Marco 8 2012 A multigrid for image deblurring with Tikhonov regularization. Zbl 1164.68445 Donatelli, M. 8 2005 Canonical eigenvalue distribution of multilevel block Toeplitz sequences with non-Hermitian symbols. Zbl 1261.15011 Donatelli, Marco; Neytcheva, Maya; Serra-Capizzano, Stefano 8 2012 Multigrid preconditioners for anisotropic space-fractional diffusion equations. Zbl 1443.65122 Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Trotti, Ken 8 2020 Large-scale regression with non-convex loss and penalty. Zbl 1445.62161 Buccini, Alessandro; De la Cruz Cabrera, Omar; Donatelli, Marco; Martinelli, Andrea; Reichel, Lothar 8 2020 Two-grid optimality for Galerkin linear systems based on B-splines. Zbl 1388.65176 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 7 2015 Preconditioners for image restoration by reblurring techniques. Zbl 1294.65026 Dell’Acqua, Pietro; Donatelli, Marco; Estatico, Claudio 7 2014 Generalized grid transfer operators for multigrid methods applied on Toeplitz matrices. Zbl 1323.65119 Bolten, Matthias; Donatelli, Marco; Huckle, Thomas; Kravvaritis, Christos 7 2015 Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces. Zbl 1428.26006 Conti, Costanza; Donatelli, Marco; Romani, Lucia; Novara, Paola 7 2019 Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol. Zbl 1335.15036 Donatelli, Marco; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano; Sesana, Debora 7 2014 Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol. Zbl 1413.65057 Donatelli, Marco; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano; Sesana, Debora 6 2016 Spectral analysis and preconditioning techniques for radial basis function collocation matrices. Zbl 1274.65308 Cavoretto, R.; De Rossi, A.; Donatelli, M.; Serra-Capizzano, S. 6 2012 Analysis of smoothed aggregation multigrid methods based on Toeplitz matrices. Zbl 1312.65205 Bolten, Matthias; Donatelli, Marco; Huckle, Thomas 5 2015 A fast alternating minimization algorithm for total variation deblurring without boundary artifacts. Zbl 1308.94010 Bai, Zheng-Jian; Cassani, Daniele; Donatelli, Marco; Serra-Capizzano, Stefano 5 2014 Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. Zbl 07396240 Donatelli, Marco; Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano; Sesana, Debora 5 2021 A general framework for ADMM acceleration. Zbl 1450.65051 Buccini, Alessandro; Dell’Acqua, Pietro; Donatelli, Marco 5 2020 Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem. Zbl 1390.74176 Donatelli, Marco; Dorostkar, Ali; Mazza, Mariarosa; Neytcheva, Maya; Serra-Capizzano, Stefano 4 2017 Multigrid methods: grid transfer operators and subdivision schemes. Zbl 1359.65288 Charina, M.; Donatelli, M.; Romani, L.; Turati, V. 4 2017 Fast preconditioners for total variation deblurring with antireflective boundary conditions. Zbl 1269.65144 Bai, Zheng-Jian; Donatelli, Marco; Serra-Capizzano, Stefano 4 2011 The anti-reflective algebra: Structural and computational analysis with application to image deblurring and denoising. Zbl 1171.94303 Aricò, Antonio; Donatelli, Marco; Serra-Capizzano, Stefano 4 2008 Optimal preconditioning for image deblurring with anti-reflective boundary conditions. Zbl 1338.65081 Dell’Acqua, P.; Donatelli, M.; Serra-Capizzano, S.; Sesana, D.; Tablino-Possio, C. 4 2016 Image deblurring by sparsity constraint on the Fourier coefficients. Zbl 1342.65095 Donatelli, Marco; Huckle, Thomas; Mazza, Mariarosa; Sesana, Debora 4 2016 On the condition number of the antireflective transform. Zbl 1181.94041 Donatelli, Marco; Hanke, Martin 4 2010 On the treatment of boundary artifacts in image restoration by reflection and/or anti-reflection. Zbl 1216.94011 Donatelli, Marco; Serra-Capizzano, Stefano 4 2010 A non-convex regularization approach for compressive sensing. Zbl 1415.90088 Fan, Ya-Ru; Buccini, Alessandro; Donatelli, Marco; Huang, Ting-Zhu 3 2019 Structure preserving preconditioners for image deblurring. Zbl 1372.65054 Dell’Acqua, Pietro; Donatelli, Marco; Estatico, Claudio; Mazza, Mariarosa 3 2017 Anisotropic bivariate subdivision with applications to multigrid. Zbl 1403.65011 Charina, M.; Donatelli, M.; Romani, L.; Turati, V. 3 2019 Multigrid methods for cubic spline solution of two point (and 2D) boundary value problems. Zbl 1336.65120 Donatelli, Marco; Molteni, Matteo; Pennati, Vincenzo; Serra-Capizzano, Stefano 3 2016 A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems. Zbl 1508.65025 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 3 2022 Analysis of multigrid preconditioning for implicit PDE solvers for degenerate parabolic equations. Zbl 1242.65198 Donatelli, Marco; Semplice, Matteo; Serra-Capizzano, Stefano 3 2011 All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations. Zbl 1528.65044 Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Trotti, Ken 2 2021 A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring. Zbl 07332764 Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar; Zhang, Wei-Hong 2 2021 Existence of multiple solutions for a fourth-order problem with variable exponent. Zbl 1489.35058 Donatelli, Marco; Vilasi, Luca 2 2022 AMG preconditioning for nonlinear degenerate parabolic equations on nonuniform grids with application to monument degradation. Zbl 1270.65045 Donatelli, M.; Semplice, M.; Serra-Capizzano, S. 2 2013 An iterative multigrid regularization method for Toeplitz discrete ill-posed problems. Zbl 1265.65074 Donatelli, Marco 2 2012 Graph Laplacian for image deblurring. Zbl 1487.65203 Bianchi, Davide; Buccini, Alessandro; Donatelli, Marco; Randazzo, Emma 2 2022 A merged tuning of binary and ternary Loop’s subdivision. Zbl 1492.65046 Donatelli, Marco; Novara, Paola; Romani, Lucia; Serra-Capizzano, Stefano; Sesana, Debora 1 2019 Boundary conditions and multiple-image re-blurring: The LBT case. Zbl 1101.94005 Donatelli, Marco; Estatico, Claudio; Serra-Capizzano, Stefano 1 2007 Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions. Zbl 1264.94010 Donatelli, Marco; Mastronardi, Nicola 1 2012 Computational methods for inverse problems in imaging. Zbl 1432.94006 1 2019 Compatibility, embedding and regularization of non-local random walks on graphs. Zbl 1484.05192 Bianchi, Davide; Donatelli, Marco; Durastante, Fabio; Mazza, Mariarosa 1 2022 Symbol based convergence analysis in multigrid methods for saddle point problems. Zbl 1516.65148 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 1 2023 A multigrid frame based method for image deblurring. Zbl 1455.94009 Buccini, Alessandro; Donatelli, Marco 1 2020 Scale space and variational methods in computer vision. 9th international conference, SSVM 2023, Santa Margherita di Pula, Italy, May 21–25, 2023. Proceedings. Zbl 1525.68001 1 2023 Symbol based convergence analysis in multigrid methods for saddle point problems. Zbl 1516.65148 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 1 2023 Scale space and variational methods in computer vision. 9th international conference, SSVM 2023, Santa Margherita di Pula, Italy, May 21–25, 2023. Proceedings. Zbl 1525.68001 1 2023 A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems. Zbl 1508.65025 Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella 3 2022 Existence of multiple solutions for a fourth-order problem with variable exponent. Zbl 1489.35058 Donatelli, Marco; Vilasi, Luca 2 2022 Graph Laplacian for image deblurring. Zbl 1487.65203 Bianchi, Davide; Buccini, Alessandro; Donatelli, Marco; Randazzo, Emma 2 2022 Compatibility, embedding and regularization of non-local random walks on graphs. Zbl 1484.05192 Bianchi, Davide; Donatelli, Marco; Durastante, Fabio; Mazza, Mariarosa 1 2022 Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. Zbl 07396240 Donatelli, Marco; Ferrari, Paola; Furci, Isabella; Serra-Capizzano, Stefano; Sesana, Debora 5 2021 All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations. Zbl 1528.65044 Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Trotti, Ken 2 2021 A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring. Zbl 07332764 Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar; Zhang, Wei-Hong 2 2021 Multigrid preconditioners for anisotropic space-fractional diffusion equations. Zbl 1443.65122 Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Trotti, Ken 8 2020 Large-scale regression with non-convex loss and penalty. Zbl 1445.62161 Buccini, Alessandro; De la Cruz Cabrera, Omar; Donatelli, Marco; Martinelli, Andrea; Reichel, Lothar 8 2020 A general framework for ADMM acceleration. Zbl 1450.65051 Buccini, Alessandro; Dell’Acqua, Pietro; Donatelli, Marco 5 2020 A multigrid frame based method for image deblurring. Zbl 1455.94009 Buccini, Alessandro; Donatelli, Marco 1 2020 Convergence and normal continuity analysis of nonstationary subdivision schemes near extraordinary vertices and faces. Zbl 1428.26006 Conti, Costanza; Donatelli, Marco; Romani, Lucia; Novara, Paola 7 2019 A non-convex regularization approach for compressive sensing. Zbl 1415.90088 Fan, Ya-Ru; Buccini, Alessandro; Donatelli, Marco; Huang, Ting-Zhu 3 2019 Anisotropic bivariate subdivision with applications to multigrid. Zbl 1403.65011 Charina, M.; Donatelli, M.; Romani, L.; Turati, V. 3 2019 A merged tuning of binary and ternary Loop’s subdivision. Zbl 1492.65046 Donatelli, Marco; Novara, Paola; Romani, Lucia; Serra-Capizzano, Stefano; Sesana, Debora 1 2019 Computational methods for inverse problems in imaging. Zbl 1432.94006 1 2019 Spectral analysis and multigrid methods for finite volume approximations of space-fractional diffusion equations. Zbl 1405.65161 Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano 31 2018 A semiblind regularization algorithm for inverse problems with application to image deblurring. Zbl 1383.65058 Buccini, Alessandro; Donatelli, Marco; Ramlau, Ronny 9 2018 Symbol-based multigrid methods for Galerkin B-spline isogeometric analysis. Zbl 1355.65153 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 41 2017 Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations. Zbl 1380.65240 Moghaderi, Hamid; Dehghan, Mehdi; Donatelli, Marco; Mazza, Mariarosa 38 2017 Iterated Tikhonov regularization with a general penalty term. Zbl 1424.65045 Buccini, Alessandro; Donatelli, Marco; Reichel, Lothar 18 2017 On generalized iterated Tikhonov regularization with operator-dependent seminorms. Zbl 1372.65117 Bianchi, Davide; Donatelli, Marco 9 2017 Optimizing a multigrid Runge-Kutta smoother for variable-coefficient convection-diffusion equations. Zbl 1375.35359 Bertaccini, Daniele; Donatelli, Marco; Durastante, Fabio; Serra-Capizzano, Stefano 8 2017 Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem. Zbl 1390.74176 Donatelli, Marco; Dorostkar, Ali; Mazza, Mariarosa; Neytcheva, Maya; Serra-Capizzano, Stefano 4 2017 Multigrid methods: grid transfer operators and subdivision schemes. Zbl 1359.65288 Charina, M.; Donatelli, M.; Romani, L.; Turati, V. 4 2017 Structure preserving preconditioners for image deblurring. Zbl 1372.65054 Dell’Acqua, Pietro; Donatelli, Marco; Estatico, Claudio; Mazza, Mariarosa 3 2017 Spectral analysis and structure preserving preconditioners for fractional diffusion equations. Zbl 1352.65305 Donatelli, Marco; Mazza, Mariarosa; Serra-Capizzano, Stefano 95 2016 Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Zbl 1335.65096 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 20 2016 Regularization preconditioners for frame-based image deblurring with reduced boundary artifacts. Zbl 1382.94010 Cai, Yuantao; Donatelli, Marco; Bianchi, Davide; Huang, Ting-Zhu 14 2016 Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol. Zbl 1413.65057 Donatelli, Marco; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano; Sesana, Debora 6 2016 Optimal preconditioning for image deblurring with anti-reflective boundary conditions. Zbl 1338.65081 Dell’Acqua, P.; Donatelli, M.; Serra-Capizzano, S.; Sesana, D.; Tablino-Possio, C. 4 2016 Image deblurring by sparsity constraint on the Fourier coefficients. Zbl 1342.65095 Donatelli, Marco; Huckle, Thomas; Mazza, Mariarosa; Sesana, Debora 4 2016 Multigrid methods for cubic spline solution of two point (and 2D) boundary value problems. Zbl 1336.65120 Donatelli, Marco; Molteni, Matteo; Pennati, Vincenzo; Serra-Capizzano, Stefano 3 2016 Robust and optimal multi-iterative techniques for Iga Galerkin linear systems. Zbl 1425.65136 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 44 2015 Robust and optimal multi-iterative techniques for Iga collocation linear systems. Zbl 1425.65196 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 26 2015 Iterated fractional Tikhonov regularization. Zbl 1434.65081 Bianchi, Davide; Buccini, Alessandro; Donatelli, Marco; Serra-Capizzano, Stefano 25 2015 Arnoldi methods for image deblurring with anti-reflective boundary conditions. Zbl 1338.94006 Donatelli, Marco; Martin, David; Reichel, Lothar 15 2015 Two-grid optimality for Galerkin linear systems based on B-splines. Zbl 1388.65176 Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik 7 2015 Generalized grid transfer operators for multigrid methods applied on Toeplitz matrices. Zbl 1323.65119 Bolten, Matthias; Donatelli, Marco; Huckle, Thomas; Kravvaritis, Christos 7 2015 Analysis of smoothed aggregation multigrid methods based on Toeplitz matrices. Zbl 1312.65205 Bolten, Matthias; Donatelli, Marco; Huckle, Thomas 5 2015 Square smoothing regularization matrices with accurate boundary conditions. Zbl 1294.65099 Donatelli, M.; Reichel, L. 14 2014 Symbol approach in a signal-restoration problem involving block Toeplitz matrices. Zbl 1294.15020 Del Prete, Vincenza; Di Benedetto, Fabio; Donatelli, Marco; Serra-Capizzano, Stefano 9 2014 Preconditioners for image restoration by reblurring techniques. Zbl 1294.65026 Dell’Acqua, Pietro; Donatelli, Marco; Estatico, Claudio 7 2014 Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol. Zbl 1335.15036 Donatelli, 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 1308.94010 Bai, Zheng-Jian; Cassani, Daniele; Donatelli, Marco; Serra-Capizzano, Stefano 5 2014 Fast nonstationary preconditioned iterative methods for ill-posed problems, with application to image deblurring. Zbl 1285.65030 Donatelli, Marco; Hanke, Martin 20 2013 Nonstationary iterated thresholding algorithms for image deblurring. Zbl 1318.94015 Huang, Jie; Donatelli, Marco; Chan, Raymond H. 14 2013 AMG preconditioning for nonlinear degenerate parabolic equations on nonuniform grids with application to monument degradation. Zbl 1270.65045 Donatelli, M.; Semplice, M.; Serra-Capizzano, S. 2 2013 Square regularization matrices for large linear discrete ill-posed problems. Zbl 1289.65096 Donatelli, Marco; Neuman, Arthur; Reichel, Lothar 18 2012 Multigrid methods for Toeplitz linear systems with different size reduction. Zbl 1251.65047 Donatelli, Marco; Serra-Capizzano, Stefano; Sesana, Debora 11 2012 On nondecreasing sequences of regularization parameters for nonstationary iterated Tikhonov. Zbl 1254.65135 Donatelli, Marco 8 2012 Canonical eigenvalue distribution of multilevel block Toeplitz sequences with non-Hermitian symbols. Zbl 1261.15011 Donatelli, Marco; Neytcheva, Maya; Serra-Capizzano, Stefano 8 2012 Spectral analysis and preconditioning techniques for radial basis function collocation matrices. Zbl 1274.65308 Cavoretto, R.; De Rossi, A.; Donatelli, M.; Serra-Capizzano, S. 6 2012 An iterative multigrid regularization method for Toeplitz discrete ill-posed problems. Zbl 1265.65074 Donatelli, Marco 2 2012 Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions. Zbl 1264.94010 Donatelli, Marco; Mastronardi, Nicola 1 2012 The anti-reflective transform and regularization by filtering. Zbl 1258.94014 Aricò, A.; Donatelli, M.; Nagy, J.; Serra-Capizzano, S. 18 2011 Fast preconditioners for total variation deblurring with antireflective boundary conditions. Zbl 1269.65144 Bai, Zheng-Jian; Donatelli, Marco; Serra-Capizzano, Stefano 4 2011 Analysis of multigrid preconditioning for implicit PDE solvers for degenerate parabolic equations. Zbl 1242.65198 Donatelli, Marco; Semplice, Matteo; Serra-Capizzano, Stefano 3 2011 An algebraic generalization of local Fourier analysis for grid transfer operators in multigrid based on Toeplitz matrices. Zbl 1240.65353 Donatelli, M. 19 2010 Antireflective boundary conditions for deblurring problems. Zbl 1229.94007 Donatelli, Marco; Serra-Capizzano, Stefano 11 2010 Fast transforms for high order boundary conditions in deconvolution problems. Zbl 1204.65151 Donatelli, Marco 10 2010 On the condition number of the antireflective transform. Zbl 1181.94041 Donatelli, Marco; Hanke, Martin 4 2010 On the treatment of boundary artifacts in image restoration by reflection and/or anti-reflection. Zbl 1216.94011 Donatelli, Marco; Serra-Capizzano, Stefano 4 2010 Spectral analysis of the anti-reflective algebra. Zbl 1140.15005 Aricò, A.; Donatelli, M.; Serra-Capizzano, S. 12 2008 Filter factor analysis of an iterative multilevel regularizing method. Zbl 1171.65369 Donatelli, Marco; Serra-Capizzano, Stefano 9 2008 The anti-reflective algebra: Structural and computational analysis with application to image deblurring and denoising. Zbl 1171.94303 Aricò, Antonio; Donatelli, Marco; Serra-Capizzano, Stefano 4 2008 A \(V\)-cycle multigrid for multilevel matrix algebras: proof of optimality. Zbl 1114.65033 Aricò, Antonio; Donatelli, Marco 35 2007 Boundary conditions and multiple-image re-blurring: The LBT case. Zbl 1101.94005 Donatelli, Marco; Estatico, Claudio; Serra-Capizzano, Stefano 1 2007 Improved image deblurring with anti-reflective boundary conditions and re-blurring. Zbl 1167.65474 Donatelli, M.; Estatico, C.; Martinelli, A.; Serra-Capizzano, S. 30 2006 Multilevel Gauss-Newton methods for phase retrieval problems. Zbl 1099.78012 Seifert, Birger; Stolz, Heinrich; Donatelli, Marco; Langemann, Dirk; Tasche, Manfred 13 2006 On the regularizing power of multigrid-type algorithms. Zbl 1103.65043 Donatelli, Marco; Serra-Capizzano, Stefano 13 2006 Anti-reflective boundary conditions and re-blurring. Zbl 1088.94510 Donatelli, M.; Serra-Capizzano, S. 20 2005 A multigrid for image deblurring with Tikhonov regularization. Zbl 1164.68445 Donatelli, M. 8 2005 V-cycle optimal convergence for certain (multilevel) structured linear systems. Zbl 1105.65322 Aricò, Antonio; Donatelli, M.; Serra Capizzano, Stefano 50 2004 all cited Publications top 5 cited Publications all top 5 Cited by 629 Authors 63 Serra-Capizzano, Stefano 50 Donatelli, Marco 42 Reichel, Lothar 23 Buccini, Alessandro 23 Garoni, Carlo 21 Mazza, Mariarosa 16 Sun, Haiwei 13 Huang, Ting-Zhu 13 Manni, Carla 13 Sesana, Debora 13 Speleers, Hendrik 12 Ng, Michael Kwok-Po 11 Zhao, Xile 8 Beinert, Robert 8 Durastante, Fabio 8 Estatico, Claudio 8 Gazzola, Silvia 8 Xiong, Xiangtuan 7 Bolten, Matthias 7 Dell’Acqua, Pietro 7 Furci, Isabella 7 Lin, Xuelei 7 She, Zihang 6 Bianchi, Davide 6 Chen, Hao 6 Ferrari, Paola 6 Huang, Guang-Xin 6 Huckle, Thomas Kilian 6 Lei, Siulong 6 Pestana, Jennifer 6 Sgallari, Fiorella 6 Takacs, Stefan 6 Tani, Mattia 5 Cho, Durkbin 5 Dehghan Takht Fooladi, Mehdi 5 Gu, Xian-Ming 5 Huang, Xin 5 Lv, Xiaoguang 5 Möller, Matthias 5 Pavarino, Luca Franco 5 Sangalli, Giancarlo 5 Scacchi, Simone 5 Tielen, Roel 5 Vuik, Cornelis 5 Wang, Hong 5 Xue, Xuemin 5 Zhao, Yongliang 4 Aricò, Antonio 4 Barbarino, Giovanni 4 Bogoya, Manuel 4 Charina, Maria 4 Chen, Minghua 4 Deng, Liangjian 4 Ekström, Sven-Erik 4 Fang, Zhiwei 4 Grudsky, Sergei Mikhailovich 4 Krause, Rolf H. 4 Lin, Fu-Rong 4 Morigi, Serena 4 Ngondiep, Eric 4 Noschese, Silvia 4 Noutsos, Dimitrios 4 Pan, Kejia 4 Pasha, Mirjeta 4 Reddy, G. Datatreya 4 Rodriguez, Giuseppe 4 Romani, Lucia 4 Tablino Possio, Cristina 4 Vassalos, Paris 4 Yin, Feng 3 Bertaccini, Daniele 3 Chen, Fang 3 Chou, Lot-Kei 3 Chung, Julianne M. 3 Conti, Costanza 3 Di Benedetto, Fabio 3 Dykes, Laura 3 George, Santhosh 3 Hofreither, Clemens 3 Jena, Hrushikesh 3 Jena, Mahendra Kumar 3 Jian, Huanyan 3 Lao, Cheng-Xue 3 Lou, Yifei 3 Lü, Wen 3 Moghaderi, Hamid 3 Muratova, Galina V. 3 Nagy, James Gerard 3 Novati, Paolo 3 Qu, Wei 3 Ramlau, Ronny 3 Sabaté Landman, Malena 3 Zeng, Tie Yong 2 Abbaszadeh, Mostafa 2 Afraites, Lekbir 2 Ahmad, Bashir 2 Al-saedi, Ahmed Eid Salem 2 Bai, Zhongzhi 2 Bellavia, Stefania 2 Benedusi, Pietro ...and 529 more Authors all top 5 Cited in 100 Serials 31 Journal of Computational and Applied Mathematics 27 Numerical Algorithms 26 Applied Numerical Mathematics 22 Computer Methods in Applied Mechanics and Engineering 21 Applied Mathematics and Computation 21 Journal of Scientific Computing 20 Computers & Mathematics with Applications 18 Linear Algebra and its Applications 17 BIT 16 Inverse Problems 14 SIAM Journal on Matrix Analysis and Applications 14 SIAM Journal on Scientific Computing 14 ETNA. Electronic Transactions on Numerical Analysis 12 Calcolo 9 Advances in Computational Mathematics 7 Numerische Mathematik 7 Numerical Linear Algebra with Applications 5 Journal of Computational Physics 5 Mathematics of Computation 4 Journal of Mathematical Analysis and Applications 4 Mathematics and Computers in Simulation 4 Computer Aided Geometric Design 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 International Journal of Computer Mathematics 4 Journal of Mathematical Imaging and Vision 4 Mathematical Problems in Engineering 4 Inverse Problems and Imaging 3 Linear and Multilinear Algebra 3 SIAM Journal on Numerical Analysis 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematical Modelling 3 Inverse Problems in Science and Engineering 2 Applied Mathematics Letters 2 Computational Optimization and Applications 2 Applied and Computational Harmonic Analysis 2 Computational and Applied Mathematics 2 The Journal of Fourier Analysis and Applications 2 ELA. The Electronic Journal of Linear Algebra 2 Computing and Visualization in Science 2 Abstract and Applied Analysis 2 Qualitative Theory of Dynamical Systems 2 Journal of Applied Mathematics and Computing 2 Advances in Difference Equations 2 Boundary Value Problems 2 GAMM-Mitteilungen 2 Discrete and Continuous Dynamical Systems. Series S 2 Numerical Mathematics: Theory, Methods and Applications 2 Journal of Applied Mathematics & Informatics 2 International Journal of Applied and Computational Mathematics 2 Communications on Applied Mathematics and Computation 1 Mathematical Methods in the Applied Sciences 1 Information Sciences 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Journal of Computational Mathematics 1 Computational Mechanics 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 Communications in Statistics. Simulation and Computation 1 Pattern Recognition 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Inverse and Ill-Posed Problems 1 Engineering Analysis with Boundary Elements 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Sbornik: Mathematics 1 Arab Journal of Mathematical Sciences 1 Doklady Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Communications in Computational Physics 1 Operators and Matrices 1 SIAM Journal on Imaging Sciences 1 Banach Journal of Mathematical Analysis 1 Communications in Theoretical Physics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Japanese Journal of Mathematics. 3rd Series 1 Journal of Electrical and Computer Engineering 1 Advances in Applied Mathematics and Mechanics 1 Journal of Computational and Graphical Statistics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Information and Inference 1 Axioms 1 Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences 1 SIAM Journal on Mathematics of Data Science all top 5 Cited in 37 Fields 395 Numerical analysis (65-XX) 127 Partial differential equations (35-XX) 106 Linear and multilinear algebra; matrix theory (15-XX) 80 Information and communication theory, circuits (94-XX) 32 Operations research, mathematical programming (90-XX) 29 Operator theory (47-XX) 28 Computer science (68-XX) 26 Real functions (26-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Approximations and expansions (41-XX) 10 Statistics (62-XX) 9 Fluid mechanics (76-XX) 8 Integral equations (45-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Probability theory and stochastic processes (60-XX) 7 Mechanics of deformable solids (74-XX) 6 Ordinary differential equations (34-XX) 5 Combinatorics (05-XX) 4 Difference and functional equations (39-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Geophysics (86-XX) Citations by Year