26 citations · 26 across the 5 of their papers we have counts for
7 papers
A Sketched Generalized Krylov Subspace Method for Large-Scale Regularization
Davide Palitta, Mirjeta Pasha
The generalized Krylov subspace (GKS) method is an effective projection technique for large-scale Tikhonov regularization with a general regularization matrix. As the subspace expa…
On the Solution of Large-scale Non-autonomous Differential Riccati Equations: a Numerical Study
Eugenio Mancinelli, Davide Palitta, Jens Saak
We explore the numerical solution of large-scale non-autonomous Differential Riccati Equations (DREs). While we assume to discretize the differential operator using a Backward Diff…
Randomized sketched TT-GMRES for linear systems with tensor structure
Alberto Bucci, Davide Palitta, Leonardo Robol
In the last decade, tensors have shown their potential as valuable tools for various tasks in numerical linear algebra. While most of the research has been focusing on how to compr…
Low-rank-modified Galerkin methods for the Lyapunov equation
Kathryn Lund, Davide Palitta
Of all the possible projection methods for solving large-scale Lyapunov matrix equations, Galerkin approaches remain much more popular than minimal-residual ones. This is mainly du…
Compress-and-restart block Krylov subspace methods for Sylvester matrix equations
Daniel Kressner, Kathryn Lund, Stefano Massei +1
Block Krylov subspace methods (KSMs) comprise building blocks in many state-of-the-art solvers for large-scale matrix equations as they arise, e.g., from the discretization of part…
Solving rank structured Sylvester and Lyapunov equations
Stefano Massei, Davide Palitta, Leonardo Robol
We consider the problem of efficiently solving Sylvester and Lyapunov equations of medium and large scale, in case of rank-structured data, i.e., when the coefficient matrices and…