3 papers
math.NA2026
Subspace gradient descent method for linear tensor equations
Martina Iannacito, Lorenzo Piccinini, Valeria Simoncini
The numerical solution of algebraic tensor equations is a largely open and challenging task. Assuming that the operator is symmetric and positive definite, we propose two new gradi…
math.NA2025
Randomized biorthogonalization through a two-sided Gram-Schmidt process
Laura Grigori, Lorenzo Piccinini, Igor Simunec
We propose and analyze a randomized two-sided Gram-Schmidt process for the biorthogonalization of two given matrices . The algorithm aims to find tw…
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_…