1. D. Bini, F. Di Benedetto, Solving the generalized eigenvalue problem for rational Toeplitz matrices. SIAM J. Matrix Anal. Appl. 11 (1990), 537-552.
2. D. Bini, F. Di Benedetto, An observation on certain spectral properties of Toeplitz matrices. Calcolo 28 (1991), 37-43.
3. F. Di Benedetto, G. Fiorentino, S. Serra, C.G. preconditioning of Toeplitz matrices. Computers Math. Applic. 25 (1993), 35-45.
4. F. Di Benedetto, Analysis of preconditioning techniques for ill-conditioned Toeplitz matrices. SIAM J. Sci. Comp. 16 (1995), 682-697.
5. D. Bini, F. Di Benedetto, Toeplitz matrices: structures, algorithms and applications. Calcolo 33 (1996), 1-10.
6. F. Di Benedetto, Computing Eigenvalues and Singular Values of Toeplitz Matrices. Calcolo 33 (1996), 237-248.
7. F. Di Benedetto, Preconditioning of block Toeplitz matrices by sine transforms. SIAM J. Sci. Comp. 18 (1997), 499-515.
8. F. Di Benedetto, The use of discrete sine transform in computations with Toeplitz matrices. Lecture Notes Comp. Sci. 1196 (1997), 126-133.
9. F. Di Benedetto, Generalized updating problems and computation of the eigenvalues of rational Toeplitz matrices. Linear Algebra Appl. 267 (1997), 187-219.
10. F. Di Benedetto, Solution of Toeplitz normal equations by sine transform based preconditioning. Linear Algebra Appl. 285 (1998), 229-255.
11. F. Di Benedetto, S. Serra Capizzano, A unifying approach to abstract matrix algebra preconditioning. Numer. Math. 82 (1999), 57-90.
12. M. Bertero, P. Boccacci, F. Di Benedetto, M. Robberto, Restoration of chopped and nodded images in infrared astronomy. Inverse Problems 15 (1999), 345-372.
13. F. Di Benedetto, S. Serra Capizzano, Optimal multilevel matrix algebra operators. Linear & Multilinear Algebra 48 (2000), 35-66.
14. P. Boccacci, P. Bonetto, P. Brianzi, P. Calvini, F. Di Benedetto, A. R. Formiconi, A. Passeri, The 2D+1 method for an efficient modeling of collimator blur in 3D SPECT imaging. Ann. Univ. Ferrara - Sez. VII - Sc. Mat., suppl. 44 (2000), 1-18.
15. D. Bindi, P. Brianzi, F. Di Benedetto, A Fourier approach to the natural pixel discretization of brain single-photon emission computed tomography. Int. J. of Imaging Syst. and Technol. 12-1 (2002), 1-8.
16. F. Di Benedetto, S. Serra Capizzano, A note on the superoptimal matrix algebra operators. Linear & Multilinear Algebra 50 (2002), 343-372.
17. F. Di Benedetto, The m-th difference operator applied to L2 functions on a finite interval. Linear Algebra Appl. 366 (2003), 173-198.
18. F. Di Benedetto, C. Estatico, S. Serra Capizzano, Superoptimal Preconditioned Conjugate Gradient iteration for image deblurring. SIAM J. Sci. Comp. 26 (2005), 1012-1035.
19. L. Repetto, G. Agnew, A. Del Borghi, F. Di Benedetto, P. Costamagna, Detailed simulation of the ohmic resistance of SOFCs. J. Fuel Cell Sci. Technol., 4 (2007), 413-417.
20. D. Bertaccini, F. Di Benedetto, Spectral analysis of nonsymmetric quasi-Toeplitz matrices with applications to preconditioned multistep formulas. SIAM J. Numer. Anal., 45 (2007), 2345-2367.
21. P. Brianzi, F. Di Benedetto, C. Estatico, Improvement of space-invariant image deblurring by preconditioned Landweber iterations. SIAM J. Sci. Comp., 30 (2008), 1430-1458.
22. F. Di Benedetto, C. Estatico, J. G. Nagy, M. Pastorino, Numerical linear algebra for nonlinear microwave imaging. Electronic Transactions on Numerical Analysis (ETNA) 33 (2008), 105-125.
23. F. Di Benedetto, Gram matrices of fast algebras have a rank structure. SIAM J. Matrix Anal. Appl. 31 (2009), 526-545.
24. C. Estatico, F. Di Benedetto, Shift-invariant approximations of structured shift-variant blurring matrices. Numer. Algor. 62 (2013), 615-635.
25. P. Brianzi, F. Di Benedetto, C. Estatico, Preconditioned iterative regularization in Banach spaces. Comput. Optim. Appl. 54, (2013), 263-282.
26. V. Del Prete, F. Di Benedetto, M. Donatelli, S. Serra Capizzano, Symbol approach in a signal-restoration problem involving block Toeplitz matrices. J. Comput. Appl. Math. 272 (2014), 399–416.
27. P. Brianzi, F. Di Benedetto, C. Estatico, L. Surace, Irregularization accelerates iterative regularization. Calcolo 55:17 (2018), 29 pp.
28. E. Biagioli,
M. de’ Michieli Vitturi, F.
Di Benedetto, Modified shallow water
model for viscous fluids and positivity preserving numerical approximation.
Applied Mathematical Modelling 94 (2021),
482-505.
29. E. Biagioli,
M. de’ Michieli Vitturi, F.
Di Benedetto, M. Polacci, Benchmarking a new 2.5D shallow water model for lava flows. Journal
of Volcanology and Geothermal Research 444
(2023), 19 pp.
1. D.A. Bini, F. Di Benedetto, E. Tyrtyshnikov, M. Van Barel (Eds.), Structured Matrices in
Numerical Linear Algebra; Analysis, Algorithms and Applications. Springer INdAM
Series, Vol. 30, Springer
International Publishing, 2019.
2. D. Bini, F. Di Benedetto, A new preconditioner for the parallel solution of positive definite Toeplitz systems . Proc. 2nd ACM SPAA, Crete, Greece, 1990, 220-223.
3. F. Di Benedetto, Iterative solution of Toeplitz systems by preconditioning with the discrete sine transform . Proc. SPIE 2563, San Diego, 1995.
4. F. Di Benedetto, Matrix structures for image applications: some examples and open problems. Notes on Numerical Fluid Mechanics 73 (2000), 243-249.
5. P. Brianzi,
F. Di Benedetto, Exploiting matrix structures in
SPECT models.
"Structured Matrices: Recent Developments in Theory and Computation",
D. Bini, E. Tyrtyshnikov and P. Yalamov
eds., Nova Science Publisher Inc., New York, 2001, 165-175.
6. V. Calvelli,
G. Ciaccio, F. Di Benedetto, A parallel simulator for quench in
superconducting magnets. In “Parallel Computing is Everywhere” (Advances in Parallel Computing,
Vol. 32), S. Bassini, M. Danelutto
and P. Dazzi eds., IOP Press, Amsterdam, 2018,
147-158.
7. A. M. Bigatti, F. Di Benedetto, Correzione tra Pari: la peer review può adattarsi alla Matematica del primo anno. Atti convegno “Faculty Development e innovazione didattica universitaria”. EDUCARE, 2020, 301-311.
1. F. Di Benedetto, S. Serra Capizzano, Optimal and superoptimal matrix algebra operators. Preprint #360, Dipartimento di Matematica, Università di Genova, 1997.
2. F. Di Benedetto, S. Serra Capizzano, Spectral analysis of the superoptimal matrix algebra operators. Preprint #439, Dipartimento di Matematica, Università di Genova, 2001.
3. C. Estatico, F. Di Benedetto, Approximation methods of structured shift-variant blurring matrices, Preprint #570, Dipartimento di Matematica, Università di Genova, 2011.
Last updated: December 5, 2022.