The authors study parameter choice strategies for the Tikhonov regularization of nonlinear ill-
posed problems in Banach spaces. The effectiveness of any parameter choice for obtaining …

In this paper we propose an iterative method using alternating direction method of
multipliers (ADMM) strategy to solve linear inverse problems in Hilbert spaces with a general …

This paper is concerned with the classical inverse scattering problem to recover the
refractive index of a medium given near or far field measurements of scattered time …

A new method in the theory of non-linear ill-posed problems is adapted and applied to
various one-dimensional inverse scattering problems of electromagnetic subsurface …

In this paper we consider a dual gradient method for solving linear ill-posed problems A x=
y, where A: X→ Y is a bounded linear operator from a Banach space X to a Hilbert space Y …

We consider the nonstationary iterated Tikhonov regularization in Banach spaces which
defines the iterates via minimization problems with uniformly convex penalty term. The …

The split feasibility problem (SFP) captures a wide range of inverse problems, such as signal
processing, image reconstruction, and so on. Recently, applications of ℓ _1 ℓ 1-norm …

Ill-posed optimization problems appear in a wide range of mathematical applications, and
their numerical solution requires the use of appropriate regularization techniques. In order to …

In this paper we propose a heuristic stop** rule of Hanke–Raus type for the regularization
of linear ill-posed inverse problems by the augmented Lagrangian method. This stop** …

In this paper we propose a heuristic rule of Hanke–Raus type for non-stationary iterated
Tikhonov regularization for solving ill-posed inverse problems in Banach spaces. This …