8 citations · 28 across the 27 of their papers we have counts for
4 papers · 2 filters
Preconditioning PDE-constrained optimization with -sparsity and control constraints
Margherita Porcelli, Valeria Simoncini, Martin Stoll
PDE-constrained optimization aims at finding optimal setups for partial differential equations so that relevant quantities are minimized. Including sparsity promoting terms in the…
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices
Stefano Pozza, Valeria Simoncini
We derive a priori residual-type bounds for the Arnoldi approximation of a matrix function and a strategy for setting the iteration accuracies in the inexact Arnoldi approximation…
Computationally enhanced projection methods for symmetric Sylvester and Lyapunov matrix equations
Davide Palitta, Valeria Simoncini
In the numerical treatment of large-scale Sylvester and Lyapunov equations, projection methods require solving a reduced problem to check convergence. As the approximation space ex…
Analysis of the rational Krylov subspace projection method for large-scale algebraic Riccati equations
V. Simoncini
In the numerical solution of the algebraic Riccati equation , where is large, sparse and stable, and , have low rank, projection metho…