# Publications

### Published Papers

A. Buccini, M. Donatelli, L. Reichel, and W. Zheng,

*A new non-stationary preconditioned iterative method for linear discrete ill-posed problems*, Accepted on: Numerical Linear Algebra with Applications*.*A. Buccini, G. Huang, L. Reichel, and F. Yin,

*On the choice of regularization matrix for an l2-lq minimization method for image restoration*, Accepted on: Applied Numerical Mathematics*.*A. Buccini, M. Pasha, and L. Reichel,

*Linearized Krylov subspace Bregman iteration with nonnegativity constraint**,*Accepted on: Numerical Algorithms.D. Bianchi and A. Buccini,

*Generalized Structure Preserving Preconditioners for Frame-Based Image Deblurring**,*Mathematics, vol. 8 no. 4 (2020), 486.A. Buccini, O. De La Cruz Cabrera, M. Donatelli, A. Martinelli, and L. Reichel,

*Large Scale Regression with Non-Convex Loss and Penalty**,*Applied Numerical Mathematics, vol. 157 (2020), pp. 590-601.A. Buccini, P. Dell'Acqua, and M. Donatelli,

*A general framework for the acceleration of ADMM**,*Numerical Algorithms, vol. 85 (2020), pp. 829-848.A. Buccini and M. Donatelli,

*A Multigrid frame based method for image deblurring**,*Electronic Transactions in Numerical Analysis, vol. 53 (2020), pp. 283-312.A. Buccini, Y. Park, and L. Reichel,

*Comparison of A-Posteriori Parameter Choice Rules for Linear Discrete Ill-Posed Problems**,*Journal of Computational and Applied Mathematics, vol. 373 (2020), 112138.A. Buccini, M. Pasha, and L. Reichel,

*Generalized Singular Value Decomposition with Iterated Tikhonov Regularization**,*Journal of Computational and Applied Mathematics, vol. 373 (2020), 112276.A. Buccini, M. Pasha, and L. Reichel,

*Modulus-based iterative methods for constrained lp-lq minimization**,*Inverse Problems, vol. 36 no. 8 (2020), pp. 084001.A. Buccini and L. Reichel,

*An lp-lq minimization method with cross-validation for the restoration of impulse noise contaminated images**,*Journal of Computational and Applied Mathematics, vol. 375 (2020), 112824.D. Bianchi, A. Buccini, and M. Donatelli,

*Structure preserving preconditioning for frame-based image deblurring**,*in*Computational Methods for Inverse Problems in Imaging*. Springer, Cham (2019), pp. 33-49*.*A. Buccini and L. Reichel,

*An l2-lq regularization method for large discrete ill-posed problems*, Journal of Scientific Computing, vol. 79 no. 3 (2019), pp. 1526-1549.Y. Fan, A. Buccini, M. Donatelli, and T.-Z. Huang,

*A non-convex regularization approach for compressive sensing*, Advances in Computational Mathematics, vol. 45 no. 2 (2019), pp. 563-588.A. Buccini, M. Donatelli, and F. Ferri,

*Weakly constrained Lucy-Richardson with application to inverse light scattering*, Journal of Scientific Computing, vol. 74 no. 2 (2018), pp. 786-804.A. Buccini, M. Donatelli, and R. Ramlau,

*A semi-blind regularization algorithm for inverse problems with application to image deblurring*, SIAM Journal of Scientific Computing, vol, 40 no. 1 (2018), pp. A452-A483.A. Buccini, Y. Park, and L. Reichel,

*Numerical aspects of the nonstationary modified linearized Bregman algorithm*, Applied Mathematics and Computation, vol. 337 no. 15 (2018), pp. 386-398.Z.Z. Bai, A. Buccini, K. Hayami, L.Reichel, J.F. Yin, and N. Zheng,

*Modulus-Based Method for Constrained Tikhonov Regularization*, Journal of Computational and Applied Mathematics, vol. 319 (2017), pp. 1-13.A. Buccini,

*Regularizing preconditioners by non-stationary iterated Tikhonov with general penalty term*, Applied Numerical Mathematics, vol. 116 (2017), pp. 64-81.A. Buccini, M. Donatelli, and L. Reichel,

*Iterated Tikhonov with general penalty term*, Numerical Linear Algebra with Applications, vol. 24 no. 4 (2017), e2089.D. Bianchi, A. Buccini, M. Donatelli, and S. Serra-Capizzano,

*Iterated fractional Tikhonov regularization*, Inverse Problems, vol.31 no. 5 (2015), pp.055005.

### Submitted Papers

X. Bai, A. Buccini, and L. Reichel,

*Golub-Kahan**vs. Monte Carlo: A comparison of bidiagonalization and randomized SVD methods for the solution of linear discrete ill-posed problems.*A. Buccini, O. De La Cruz Cabrera, C. Koukouvinos, M. Mitrouli, and L. Reichel,

*Variable selection via the lp-lq method in high dimensional data.*A. Buccini and L. Reichel,

*Generalized Cross Validation for lp-lq minimization.*

### Works in Progress

D. Bianchi, A. Buccini, M. Donatelli, and E. Randazzo,

*Graph Laplacian for Tikhonov regularization (temporary title)*.A. Buccini,

*ADMM in Krylov subspaces (temporary title).*A. Buccini, F. Chen, O. Lavrentovich, and S. Shiyanovskii,

*Detection and tracking of polydisperse bacteria in Liquid Crystals (temporary title).*A. Buccini, F. Cola, and M. Donatelli,

*Preconditioned lp-lq minimization (temporary title).*A. Buccini, P. Diaz De Alba, and G. Rodriguez,

*Sparse Total Variation for the inversion of geophysics data (temporary title)*.A. Buccini, L. Onisk, and L. Reichel,

*Coarse preconditioners for approximated iterated Tikhonov (temporary title)*, In progressA. Buccini and L. Reichel,

*Acceleration techniques for lp-lq regularization (temporary title).*