3 papers
math.NA2026
Randomized Flexible LSQR and LSMR with applications to inverse problems
Alberto Bucci, Silvia Gazzola, Leonardo Robol
LSQR and LSMR are iterative methods, based on the Golub-Kahan bidiagonalization algorithm, widely used for large-scale linear least squares problems. FLSQR and FLSMR are flexible v…
math.NA2025
New flexible and inexact Golub-Kahan algorithms for inverse problems
Malena Sabaté Landman, Silvia Gazzola
This paper introduces a new class of algorithms for solving large-scale linear inverse problems based on new flexible and inexact Golub-Kahan factorizations. The proposed methods i…
math.NA2025
Randomized Krylov methods for inverse problems
Julianne Chung, Silvia Gazzola
In this paper we develop randomized Krylov subspace methods for efficiently computing regularized solutions to large-scale linear inverse problems. Building on the recently develop…