List of publications
Preprints
P. D'Ambra, F. Durastante, S. Filippone, S .M., S. Thomas. Optimal Polynomial Smoothers for Parallel AMG, 2024.
M. Zorzetto, R. Torchio, F.Lucchini, S. M., L. Robol, F.Dughiero. Reduced Order Modeling for Thermal Simulations of Electric Components with Surface-to-Surface Radiation, 2024.
L. Xia, S.M., AdamL: A fast adaptive gradient method incorporating loss function, 2023.
L. Xia, M. Hochstenbach, S. M., On the Convergence of the Gradient Descent Method with Stochastic Fixed-point Rounding Errors under the Polyak-Lojasiewicz Inequality, 2023.
Journal publications
S.M., F. Tudisco, Optimizing network robustness via Krylov subspaces, ESAIM: Mathematical Modelling and Numerical Analysis, 2023.
L. Xia, S. M., M. Hochstenbach, B. Koren, On the influence of roundoff errors on the convergence of the gradient descent method with low-precision floating-point computation, Journal of Optimization Theory and Applications, 2023.
S.M., L. Robol, A nested divide-and-conquer method for tensor Sylvester equations with positive definite hierarchically semiseparable coefficients, IMA Journal of Numerical Analysis, 2023.
D. Kressner, S. M., J. Zhu, Improved ParaDiag via low-rank updates and interpolation, Numerische Mathematik, 2023.
S.M., L. Robol, D. Kressner, Hierarchical adaptive low-rank format with applications to discretized PDEs, Numerical Linear Algebra with Applications, 2022.
S.M., L. Robol, Mixed precision recursive block diagonalization for bivariate functions of matrices, SIAM Journal on Matrix Analysis and Applications, 2021.
A. Cortinovis, D. Kressner, S. M., Divide and conquer methods for functions of matrices with banded or hierarchical low-rank structure, SIAM Journal on Matrix Analysis and Applications, 2021.
S. M., Some algorithms for maximum volume and cross approximation of symmetric semidefinite matrices, BIT Numerical Mathematics, 2021.
D. Kressner, J. Latz, S. M., E. Ullmann, Certified and fast computations with shallow covariance kernels, Foundations of Data Science, 2020.
D. Kressner, K. Lund, S. M., D. Palitta, Compress-and-restart block Krylov subspace methods for Sylvester matrix equations, Numerical Linear Algebra with Applications, 2020.
S. M., L. Robol, Rational Krylov for Stieltjes matrix functions: convergence and pole selection, BIT Numerical Mathematics, 2020.
D. A. Bini, S. M., B. Meini, L. Robol, A computational framework for two-dimensional random walks with restarts, SIAM Journal on Scientific Computing, 2020.
A. Cortinovis, D. Kressner, S. M., On maximum volume submatrices and cross approximation for symmetric semidefinite and diagonally dominant matrices, Linear Algebra and its Applications, 2020.
S. M., L. Robol, D. Kressner, hm-toolbox: Matlab software for HODLR and HSS matrices, SIAM Journal on Scientific Computing, 2020.
S. Hautphenne, S. M., A low-rank technique for computing the quasi-stationary distribution of subcritical Galton-Watson processes, SIAM Journal on Matrix Analysis and Applications, 2020.
S. M., M. Mazza, L. Robol, Fast solvers for two dimensional fractional diffusion equations using rank structured matrices, SIAM Journal on Scientific Computing, 2019.
D. Kressner, P. Kürschner, S. M., Low-rank updates and divide-and-conquer methods for quadratic matrix equations, Numerical Algorithms, 2019.
D. A. Bini, S. M., L. Robol, Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox, Numerical algorithms, 2019.
D. Kressner, S. M., L. Robol, Low-rank updates and a divide-and-conquer method for linear matrix equations, SIAM Journal on Scientific Computing, 2019.
S. M., D. Palitta, L. Robol, Solving rank-structured Sylvester and Lyapunov equations, SIAM Journal on Matrix Analysis and Applications, 2018.
D. A. Bini, S. M., B. Meini, Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes, Mathematics of Computation, 2018.
D. A. Bini, S. M., B. Meini, L. Robol, On quadratic matrix equations with infinite size coefficients encountered in QBD stochastic processes, Numerical Linear Algebra with Applications, 2017.
D. A. Bini, S. M., L. Robol, On the decay of the off-diagonal singular values in cyclic reduction, Linear Algebra and its Applications, 2017.
D. A. Bini, S. M., B. Meini, On Functions of quasi Toeplitz matrices, Sbornik: Mathematics, 2017.
S. M., L. Robol, Decay bounds for the numerical quasiseparable preservation in matrix functions, Linear Algebra and its Applications, 2017.
D. A. Bini, S. M., L. Robol, Efficient cyclic reduction for Quasi-Birth-Death problems with rank structured blocks, Applied Numerical Mathematics, 2017.
Conference proceedings
L Xia, S. M., Influence of Hyperparameters on the Convergence of Adam under the Polyak-Lojasiewicz Inequality, ENUMATH proceedings, 2023.
L. Xia, S. M., M. Hochstenbach, B. Koren, Impact of rounding bias on the convergence of gradient descent with unbiased approximation of gradients, ECMI proceedings, 2023.
A. Cortinovis, D. Kressner, S. M., B. Peherstorfer, Quasi-optimal sampling to learn basis updates for online adaptive model reduction with adaptive empirical interpolation, American Control Conference, 2020.
Thesis
Exploiting rank structures in the numerical solution of Markov chains and matrix functions. Ph.D. thesis, Scuola Normale Superiore, 2017.