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math.NA2025
TT-LSQR For Tensor Least Squares Problems and Application to Data Mining *
Lorenzo Piccinini, Valeria Simoncini
We are interested in the numerical solution of the tensor least squares problem \[ \min_{\mathcal{X}} \| \mathcal{F} - \sum_{i =1}^{\ell} \mathcal{X} \times_1 A_1^{(i)} \times_2 A_…
math.NA2024
Multigrid preconditioning for discontinuous Galerkin discretizations of an elliptic optimal control problem with a convection-dominated state equation
Sijing Liu, Valeria Simoncini
We consider discontinuous Galerkin methods for an elliptic distributed optimal control problem constrained by a convection-dominated problem. We prove global optimal convergence ra…