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math.NA2026
Randomized Tucker-Sketched GMRES
Alberto Bucci, Martina Iannacito, Mirjeta Pasha +1
We address the problem of solving large-scale tensor-structured linear systems in the Tucker format. In this setting, standard iterative solvers such as GMRES face a fundamental bo…
math.NA2026
A Practical Mode-parallel Implementation of the (H-)Tucker Decomposition via Randomization
Martina Iannacito, Sascha Portaro, Davide Palitta +2
In the last decades, tensors have emerged as the right tool to represent multidimensional data in a compact yet informative manner. Moreover, it is well-known that by performing lo…
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…