Convergence rates of a dual gradient method for constrained linear ill-posed problems

Optimal-order convergence of Nesterov acceleration for linear ill-posed problems

(2021) Stefan Kindermann   INVERSE PROBLEMS

A revisit on Landweber iteration

(2020) Rommel Real et al.   INVERSE PROBLEMS

Regularization of inverse problems by two-point gradient methods in Banach spaces

(2019) Min Zhong et al.   NUMERISCHE MATHEMATIK

An entropic Landweber method for linear ill-posed problems

(2019) M Burger et al.   INVERSE PROBLEMS

Nesterov’s accelerated gradient method for nonlinear ill-posed problems with a locally convex residual functional

(2018) Simon Hubmer et al.   INVERSE PROBLEMS

Existence of variational source conditions for nonlinear inverse problems in Banach spaces

(2018) Jens Flemming   Journal of Inverse and Ill-Posed Problems

Injectivity and weak*-to-weak continuity suffice for convergence rates in ℓ1-regularization

(2018) Jens Flemming et al.   Journal of Inverse and Ill-Posed Problems

Convergence analysis of a two-point gradient method for nonlinear ill-posed problems

(2017) Simon Hubmer et al.   INVERSE PROBLEMS

On Nesterov acceleration for Landweber iteration of linear ill-posed problems

(2017) Andreas Neubauer   Journal of Inverse and Ill-Posed Problems

Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods

(2017) Thorsten Hohage et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Landweber-Kaczmarz method in Banach spaces with inexact inner solvers

(2016) Qinian Jin   INVERSE PROBLEMS

On a heuristic stopping rule for the regularization of inverse problems by the augmented Lagrangian method

(2016) Qinian Jin   NUMERISCHE MATHEMATIK

The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than $1/k^2$

(2016) Hedy Attouch et al.   SIAM JOURNAL ON OPTIMIZATION

Verification of a variational source condition for acoustic inverse medium scattering problems

(2015) Thorsten Hohage et al.   INVERSE PROBLEMS

Stability of Over-Relaxations for the Forward-Backward Algorithm, Application to FISTA

(2015) J.-F. Aujol et al.   SIAM JOURNAL ON OPTIMIZATION

Landweber iteration of Kaczmarz type with general non-smooth convex penalty functionals

(2013) Qinian Jin et al.   INVERSE PROBLEMS

Parameter choice in Banach space regularization under variational inequalities

(2012) Bernd Hofmann et al.   INVERSE PROBLEMS

Iterative regularization with a general penalty term—theory and application toL1andTVregularization

(2012) Radu Ioan Boţ et al.   INVERSE PROBLEMS

Regularization of linear ill-posed problems by the augmented Lagrangian method and variational inequalities

(2012) K Frick et al.   INVERSE PROBLEMS

Nonstationary iterated Tikhonov regularization for ill-posed problems in Banach spaces

(2012) Qinian Jin et al.   INVERSE PROBLEMS

Morozov’s Principle for the Augmented Lagrangian Method Applied to Linear Inverse Problems

(2011) Klaus Frick et al.   MULTISCALE MODELING & SIMULATION

Regularization of ill-posed linear equations by the non- stationary augmented Lagrangian method

(2010) Klaus Frick et al.   Journal of Integral Equations and Applications

Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems

(2009) Barbara Kaltenbacher et al.   INVERSE PROBLEMS

Non-convex sparse regularisation

(2009) Markus Grasmair   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

(2009) Amir Beck et al.   SIAM Journal on Imaging Sciences