This paper surveys an important class of methods that combine iterative projection methods
and variational regularization methods for large-scale inverse problems. Iterative methods …

Acoustic tomography is a technique widely used in nonintrusive temperature measurement.
The time of flight (TOF) of acoustic waves can be used to estimate the temperatures of a …

Large‐scale linear systems coming from suitable discretizations of linear inverse problems
are challenging to solve. Indeed, since they are inherently ill‐posed, appropriate …

Moving force identification (MFI) is a widely concerned inverse problem in structural
dynamics and well-known as intrinsically existing ill-posedness. With the help of Arnoldi …

The low-dimensional manifold of image patches has been introduced as regularizer term,
and shown effective in hyperspectral image inpainting. However, in this article, we find that …

We study an inverse problem for the wave equation, concerned with estimating the wave
speed from data gathered by an array of sources and receivers that emit probing signals and …

This paper presents two new algorithms to compute sparse solutions of large-scale linear
discrete ill-posed problems. The proposed approach consists in constructing a sequence of …

Krylov subspace methods are a powerful family of iterative solvers for linear systems of
equations, which are commonly used for inverse problems due to their intrinsic …

We present a new inner–outer iterative algorithm for edge enhancement in imaging
problems. At each outer iteration, we formulate a Tikhonov-regularized problem where the …

Large scale applications running on HPC systems often require a substantial amount of
memory and can have a large computational overhead. Lossy data compression techniques …