A Fast Averaged Kaczmarz Iteration with Convex Penalty for Inverse Problems in Hilbert Spaces

Systems of nonsingular linear integral equations (45F05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (2)

Convergence analysis of inexact Newton–Landweber iteration under Hölder stability ⋮ A Fast Data-Driven Iteratively Regularized Method with Convex Penalty for Solving Ill-Posed Problems

Cites Work

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Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
Error minimizing relaxation strategies in Landweber and Kaczmarz type iterations
On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations
Iterative regularization methods for nonlinear ill-posed problems
On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations
Variational methods in imaging
Linear convergence of the randomized sparse Kaczmarz method
A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
Regularization of inverse problems by two-point gradient methods in Banach spaces
Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications
Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis
Mathematical Methods in Image Reconstruction
On projective Landweber–Kaczmarz methods for solving systems of nonlinear ill-posed equations
An iterative regularization method for nonlinear problems based on Bregman projections
Landweber iteration of Kaczmarz type with general non-smooth convex penalty functionals
The Linearized Bregman Method via Split Feasibility Problems: Analysis and Generalizations
A Semismooth Newton Method for Nonlinear Parameter Identification Problems with Impulsive Noise
A revisit on Landweber iteration
Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
Tikhonov regularisation for non-linear ill-posed problems: optimal convergence rates and finite-dimensional approximation
Accelerated Landweber iteration in Banach spaces
Fast regularizing sequential subspace optimization in Banach spaces
Convergence rates of convex variational regularization
The Averaged Kaczmarz Iteration for Solving Inverse Problems
Regularization Methods for Ill-Posed Problems
An accelerated homotopy perturbation iteration for nonlinear ill-posed problems in Banach spaces with uniformly convex penalty
The two-point gradient methods for nonlinear inverse problems based on Bregman projections
A projective averaged Kaczmarz iteration for nonlinear ill-posed problems
Fast subspace optimization method for nonlinear inverse problems in Banach spaces with uniformly convex penalty terms
A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems
A new Kaczmarz-type method and its acceleration for nonlinear ill-posed problems
Regularizing Newton--Kaczmarz Methods for Nonlinear Ill-Posed Problems
Weak convergence of the sequence of successive approximations for nonexpansive mappings
An Iteration Formula for Fredholm Integral Equations of the First Kind

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