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

An iteration regularization method with general convex penalty for nonlinear inverse problems in Banach spaces

(2019) Jing Wang et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

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

(2018) Simon Hubmer et al.   INVERSE PROBLEMS

A regularizing multilevel approach for nonlinear inverse problems

(2018) Min Zhong et al.   APPLIED NUMERICAL MATHEMATICS

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

(2017) Simon Hubmer et al.   INVERSE PROBLEMS

Landweber-Kaczmarz method in Banach spaces with inexact inner solvers

(2016) Qinian Jin   INVERSE PROBLEMS

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

A convergence rates result for an iteratively regularized Gauss–Newton–Halley method in Banach space

(2015) B Kaltenbacher   INVERSE PROBLEMS

Levenberg–Marquardt method in Banach spaces with general convex regularization terms

(2015) Qinian Jin et al.   NUMERISCHE MATHEMATIK

Accelerated Landweber iteration with convex penalty for linear inverse problems in Banach spaces

(2014) Markus Hegland et al.   APPLICABLE ANALYSIS

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

(2013) Qinian Jin et al.   INVERSE PROBLEMS

On the iteratively regularized Gauss–Newton method in Banach spaces with applications to parameter identification problems

(2013) Qinian Jin et al.   NUMERISCHE MATHEMATIK

Nonstationary iterated Tikhonov regularization in Banach spaces with uniformly convex penalty terms

(2013) Qinian Jin et al.   NUMERISCHE MATHEMATIK

Inexact Newton–Landweber iteration for solving nonlinear inverse problems in Banach spaces

(2012) Qinian Jin   INVERSE PROBLEMS

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

(2012) Radu Ioan Boţ et al.   INVERSE PROBLEMS

AIR Tools — A MATLAB package of algebraic iterative reconstruction methods

(2011) Per Christian Hansen et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Accelerated Landweber iteration in Banach spaces

(2010) Torsten Hein et al.   INVERSE PROBLEMS

Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems

(2009) A. Beck et al.   IEEE TRANSACTIONS ON IMAGE PROCESSING

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

(2009) Barbara Kaltenbacher et al.   INVERSE PROBLEMS

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

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

Fast regularizing sequential subspace optimization in Banach spaces

(2008) F Schöpfer et al.   INVERSE PROBLEMS