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Marco Donatelli
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2020 – today
- 2024
- [j46]Marco Donatelli
, Rolf Krause, Mariarosa Mazza
, Ken Trotti
:
Multigrid for two-sided fractional differential equations discretized by finite volume elements on graded meshes. J. Comput. Appl. Math. 444: 115787 (2024) - [j45]Luca Calatroni, Marco Donatelli, Serena Morigi, Marco Prato, Matteo Santacesaria:
Guest Editorial JMIV Special Issue SSVM'23. J. Math. Imaging Vis. 66(4): 417-418 (2024) - [i16]Matthias Bolten, Marco Donatelli, Paola Ferrari, Isabella Furci:
Analysis on aggregation and block smoothers in multigrid methods for block Toeplitz linear systems. CoRR abs/2403.02139 (2024) - [i15]Carlo Santambrogio, Monica Pragliola, Alessandro Lanza, Marco Donatelli, Luca Calatroni:
Whiteness-based bilevel learning of regularization parameters in imaging. CoRR abs/2403.07026 (2024) - [i14]Danyal Ahmad, Marco Donatelli, Mariarosa Mazza, Stefano Serra-Capizzano, Ken Trotti:
A note on the convergence of multigrid methods for the Riesz-space equation and an application to image deblurring. CoRR abs/2403.16352 (2024) - [i13]Marco Donatelli, Davide Furchì:
Improved parameter selection strategy for the iterated Arnoldi-Tikhonov method. CoRR abs/2404.08321 (2024) - 2023
- [j44]Alessandro Buccini, Marco Donatelli, Lothar Reichel:
Theoretical and numerical aspects of a non-stationary preconditioned iterative method for linear discrete ill-posed problems. J. Comput. Appl. Math. 423: 114940 (2023) - [j43]Rafael Díaz Fuentes, Marco Donatelli
, Caterina Fenu, Giorgio Mantica
:
Estimating the trace of matrix functions with application to complex networks. Numer. Algorithms 92(1): 503-522 (2023) - [j42]Mariarosa Mazza
, Marco Donatelli
, Carla Manni
, Hendrik Speleers
:
On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties. Numer. Linear Algebra Appl. 30(1) (2023) - [c3]Davide Bianchi
, Marco Donatelli, Davide Evangelista, Wenbin Li, Elena Loli Piccolomini:
Graph Laplacian and Neural Networks for Inverse Problems in Imaging: GraphLaNet. SSVM 2023: 175-186 - [e1]Luca Calatroni
, Marco Donatelli
, Serena Morigi
, Marco Prato
, Matteo Santacesaria
:
Scale Space and Variational Methods in Computer Vision - 9th International Conference, SSVM 2023, Santa Margherita di Pula, Italy, May 21-25, 2023, Proceedings. Lecture Notes in Computer Science 14009, Springer 2023, ISBN 978-3-031-31974-7 [contents] - [i12]Davide Bianchi, Marco Donatelli, Davide Furchì, Lothar Reichel:
Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method. CoRR abs/2311.11823 (2023) - [i11]Davide Bianchi, Davide Evangelista, Stefano Aleotti, Marco Donatelli, Elena Loli Piccolomini, Wenbin Li:
A data-dependent regularization method based on the graph Laplacian. CoRR abs/2312.16936 (2023) - 2022
- [j41]Marco Donatelli
, Rolf Krause
, Mariarosa Mazza
, Matteo Semplice
, Ken Trotti
:
Matrices associated to two conservative discretizations of Riesz fractional operators and related multigrid solvers. Numer. Linear Algebra Appl. 29(5) (2022) - [j40]Matthias Bolten
, Marco Donatelli
, Paola Ferrari
, Isabella Furci
:
A Symbol-Based Analysis for Multigrid Methods for Block-Circulant and Block-Toeplitz Systems. SIAM J. Matrix Anal. Appl. 43(1): 405-438 (2022) - [i10]Matthias Bolten, Marco Donatelli, Paola Ferrari, Isabella Furci:
Symbol based convergence analysis in multigrid methods for saddle point problems. CoRR abs/2203.05959 (2022) - [i9]Marco Donatelli, Rolf Krause
, Mariarosa Mazza, Ken Trotti
:
Multigrid for two-sided fractional differential equations discretized by finite volume elements on graded meshes. CoRR abs/2209.08841 (2022) - [i8]Danyal Ahmad, Marco Donatelli, Mariarosa Mazza, Stefano Serra-Capizzano, Ken Trotti
:
A smoothing analysis for multigrid methods applied to tempered fractional problems. CoRR abs/2210.05031 (2022) - [i7]Marco Donatelli, Paola Ferrari, Silvia Gazzola
:
Symmetrization Techniques in Image Deblurring. CoRR abs/2212.05879 (2022) - 2021
- [j39]Stefano Cipolla
, Marco Donatelli
, Fabio Durastante
:
Regularization of inverse problems by an approximate matrix-function technique. Numer. Algorithms 88(3): 1275-1308 (2021) - [j38]Alessandro Buccini
, Marco Donatelli, Lothar Reichel
, Wei-Hong Zhang
:
A new nonstationary preconditioned iterative method for linear discrete ill-posed problems with application to image deblurring. Numer. Linear Algebra Appl. 28(2) (2021) - [j37]Marco Donatelli, Paola Ferrari
, Isabella Furci
, Stefano Serra-Capizzano
, Debora Sesana:
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. Numer. Linear Algebra Appl. 28(4) (2021) - [c2]Alessandro Buccini, Marco Donatelli:
Graph Laplacian in ℓ2 - ℓq regularization for image reconstruction. ICCSA (Workshops) 2021: 29-38 - [c1]Davide Bianchi
, Marco Donatelli:
Graph approximation and generalized Tikhonov regularization for signal deblurring. ICCSA (Workshops) 2021: 93-100 - [i6]Davide Bianchi, Marco Donatelli, Fabio Durastante, Mariarosa Mazza:
Compatibility, embedding and regularization of non-local random walks on graphs. CoRR abs/2101.00425 (2021) - [i5]Matthias Bolten, Marco Donatelli, Paola Ferrari, Isabella Furci:
A symbol based analysis for multigrid methods for Block-Circulant and Block-Toeplitz Systems. CoRR abs/2101.06434 (2021) - [i4]Davide Bianchi, Alessandro Buccini, Marco Donatelli, Emma Randazzo:
Graph Laplacian for image deblurring. CoRR abs/2102.10327 (2021) - [i3]Davide Bianchi, Marco Donatelli:
Graph approximation and generalized Tikhonov regularization for signal deblurring. CoRR abs/2106.10453 (2021) - [i2]Mariarosa Mazza, Marco Donatelli, Carla Manni, Hendrik Speleers:
On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties. CoRR abs/2106.14834 (2021) - 2020
- [j36]Marco Donatelli, Rolf Krause
, Mariarosa Mazza
, Ken Trotti
:
Multigrid preconditioners for anisotropic space-fractional diffusion equations. Adv. Comput. Math. 46(3): 49 (2020) - [j35]Alessandro Buccini
, Pietro Dell'Acqua, Marco Donatelli:
A general framework for ADMM acceleration. Numer. Algorithms 85(3): 829-848 (2020)
2010 – 2019
- 2019
- [j34]Yaru Fan, Alessandro Buccini
, Marco Donatelli, Ting-Zhu Huang:
A non-convex regularization approach for compressive sensing. Adv. Comput. Math. 45(2): 563-588 (2019) - [j33]Marco Donatelli, Paola Novara, Lucia Romani
, Stefano Serra-Capizzano
, Debora Sesana:
A merged tuning of binary and ternary Loop's subdivision. Comput. Aided Geom. Des. 69: 27-44 (2019) - [i1]Marco Donatelli, Paola Ferrari, Isabella Furci, Stefano Serra-Capizzano, Debora Sesana:
Multigrid methods for block-Toeplitz linear systems: convergence analysis and applications. CoRR abs/1910.13792 (2019) - 2018
- [j32]Alessandro Buccini
, Marco Donatelli
, Fabio Ferri
:
Weakly Constrained Lucy-Richardson with Applications to Inversion of Light Scattering Data. J. Sci. Comput. 74(2): 786-804 (2018) - [j31]Alessandro Buccini
, Marco Donatelli, Ronny Ramlau
:
A Semiblind Regularization Algorithm for Inverse Problems with Application to Image Deblurring. SIAM J. Sci. Comput. 40(1) (2018) - [j30]Marco Donatelli, Mariarosa Mazza
, Stefano Serra-Capizzano
:
Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations. SIAM J. Sci. Comput. 40(6): A4007-A4039 (2018) - 2017
- [j29]Marco Donatelli, Carlotta Giannelli
, Duccio Mugnaini, Alessandra Sestini
:
Curvature continuous path planning and path finding based on PH splines with tension. Comput. Aided Des. 88: 14-30 (2017) - [j28]Marco Donatelli, Ali Dorostkar, Mariarosa Mazza
, Maya G. Neytcheva
, Stefano Serra-Capizzano
:
Function-based block multigrid strategy for a two-dimensional linear elasticity-type problem. Comput. Math. Appl. 74(5): 1015-1028 (2017) - [j27]Hamid Moghaderi, Mehdi Dehghan
, Marco Donatelli
, Mariarosa Mazza
:
Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equations. J. Comput. Phys. 350: 992-1011 (2017) - [j26]Pietro Dell'Acqua, Marco Donatelli, Claudio Estatico
, Mariarosa Mazza
:
Structure Preserving Preconditioners for Image Deblurring. J. Sci. Comput. 72(1): 147-171 (2017) - [j25]Alessandro Buccini
, Marco Donatelli, Lothar Reichel:
Iterated Tikhonov regularization with a general penalty term. Numer. Linear Algebra Appl. 24(4) (2017) - [j24]Marco Donatelli, Carlo Garoni
, Carla Manni
, Stefano Serra-Capizzano
, Hendrik Speleers
:
Symbol-Based Multigrid Methods for Galerkin B-Spline Isogeometric Analysis. SIAM J. Numer. Anal. 55(1): 31-62 (2017) - 2016
- [j23]Marco Donatelli
, Mariarosa Mazza
, Stefano Serra-Capizzano
:
Spectral analysis and structure preserving preconditioners for fractional diffusion equations. J. Comput. Phys. 307: 262-279 (2016) - [j22]Marco Donatelli
, Carlo Garoni
, Carla Manni
, Stefano Serra-Capizzano
, Hendrik Speleers
:
Spectral analysis and spectral symbol of matrices in isogeometric collocation methods. Math. Comput. 85(300): 1639-1680 (2016) - [j21]Marco Donatelli
, Thomas Huckle, Mariarosa Mazza
, Debora Sesana:
Image deblurring by sparsity constraint on the Fourier coefficients. Numer. Algorithms 72(2): 341-361 (2016) - [j20]Marco Donatelli
, Carlo Garoni
, Mariarosa Mazza
, Stefano Serra-Capizzano
, Debora Sesana:
Preconditioned HSS method for large multilevel block Toeplitz linear systems via the notion of matrix-valued symbol. Numer. Linear Algebra Appl. 23(1): 83-119 (2016) - [j19]Yuantao Cai, Marco Donatelli
, Davide Bianchi
, Ting-Zhu Huang:
Regularization Preconditioners for Frame-Based Image Deblurring with Reduced Boundary Artifacts. SIAM J. Sci. Comput. 38(1) (2016) - 2015
- [j18]Marco Donatelli
, David R. Martin, Lothar Reichel:
Arnoldi methods for image deblurring with anti-reflective boundary conditions. Appl. Math. Comput. 253: 135-150 (2015) - [j17]Marco Donatelli
, Carlo Garoni
, Carla Manni
, Stefano Serra-Capizzano
, Hendrik Speleers
:
Two-grid optimality for Galerkin linear systems based on B-splines. Comput. Vis. Sci. 17(3): 119-133 (2015) - 2014
- [j16]Marco Donatelli
, Carlo Garoni
, Mariarosa Mazza
, Stefano Serra-Capizzano
, Debora Sesana:
Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol. Appl. Math. Comput. 245: 158-173 (2014) - [j15]Pietro Dell'Acqua, Marco Donatelli
, Claudio Estatico
:
Preconditioners for image restoration by reblurring techniques. J. Comput. Appl. Math. 272: 313-333 (2014) - [j14]Marco Donatelli
, Lothar Reichel:
Square smoothing regularization matrices with accurate boundary conditions. J. Comput. Appl. Math. 272: 334-349 (2014) - [j13]Vincenza Del Prete, Fabio Di Benedetto
, Marco Donatelli
, Stefano Serra-Capizzano
:
Symbol approach in a signal-restoration problem involving block Toeplitz matrices. J. Comput. Appl. Math. 272: 399-416 (2014) - 2012
- [j12]Marco Donatelli
, Nicola Mastronardi
:
Fast deconvolution with approximated PSF by RSTLS with antireflective boundary conditions. J. Comput. Appl. Math. 236(16): 3992-4005 (2012) - [j11]Marco Donatelli
:
On nondecreasing sequences of regularization parameters for nonstationary iterated Tikhonov. Numer. Algorithms 60(4): 651-668 (2012) - [j10]Roberto Cavoretto
, Alessandra De Rossi
, Marco Donatelli
, Stefano Serra-Capizzano
:
Spectral analysis and preconditioning techniques for radial basis function collocation matrices. Numer. Linear Algebra Appl. 19(1): 31-52 (2012) - [j9]Marco Donatelli
, Arthur Neuman, Lothar Reichel:
Square regularization matrices for large linear discrete ill-posed problems. Numer. Linear Algebra Appl. 19(6): 896-913 (2012) - 2011
- [j8]Zheng-Jian Bai, Marco Donatelli
, Stefano Serra-Capizzano
:
Fast Preconditioners for Total Variation Deblurring with Antireflective Boundary Conditions. SIAM J. Matrix Anal. Appl. 32(3): 785-805 (2011) - [j7]Marco Donatelli
, Matteo Semplice, Stefano Serra-Capizzano
:
Analysis of Multigrid Preconditioning for Implicit PDE Solvers for Degenerate Parabolic Equations. SIAM J. Matrix Anal. Appl. 32(4): 1125-1148 (2011) - 2010
- [j6]Marco Donatelli
, Stefano Serra-Capizzano
:
Antireflective Boundary Conditions for Deblurring Problems. J. Electr. Comput. Eng. 2010: 241467:1-241467:18 (2010) - [j5]Marco Donatelli
:
An algebraic generalization of local Fourier analysis for grid transfer operators in multigrid based on Toeplitz matrices. Numer. Linear Algebra Appl. 17(2-3): 179-197 (2010)
2000 – 2009
- 2007
- [j4]Antonio Aricò, Marco Donatelli
:
A V-cycle Multigrid for multilevel matrix algebras: proof of optimality. Numerische Mathematik 105(4): 511-547 (2007) - 2006
- [j3]Marco Donatelli
, Stefano Serra-Capizzano
:
On the Regularizing Power of Multigrid-type Algorithms. SIAM J. Sci. Comput. 27(6): 2053-2076 (2006) - 2005
- [j2]Marco Donatelli
:
A multigrid for image deblurring with Tikhonov regularization. Numer. Linear Algebra Appl. 12(8): 715-729 (2005) - 2004
- [j1]Antonio Aricò, Marco Donatelli
, Stefano Serra-Capizzano
:
V-cycle Optimal Convergence for Certain (Multilevel) Structured Linear Systems. SIAM J. Matrix Anal. Appl. 26(1): 186-214 (2004)
Coauthor Index
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