On projective Landweber–Kaczmarz methods for solving systems of nonlinear ill-posed equations

DOI10.1088/0266-5611/32/2/025004zbMath1344.65052arXiv2011.05870OpenAlexW3103336733MaRDI QIDQ2794610

Antonio Leitão, Benar Fux Svaiter

Publication date: 10 March 2016

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.05870

zbMATH Keywords

convergencenumerical exampleregularizationHilbert spacelarge scale systemKaczmarz methodLandweber methodsystems of nonlinear ill-posed operator equationslocal tangential cone conditions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items (15)

A generalized adaptive Levenberg–Marquardt method for solving nonlinear ill-posed problems ⋮ Online learning in optical tomography: a stochastic approach ⋮ Sketched Newton--Raphson ⋮ A Fast Averaged Kaczmarz Iteration with Convex Penalty for Inverse Problems in Hilbert Spaces ⋮ A data-driven Kaczmarz iterative regularization method with non-smooth constraints for ill-posed problems ⋮ Analysis of the Block Coordinate Descent Method for Linear Ill-Posed Problems ⋮ A projective averaged Kaczmarz iteration for nonlinear ill-posed problems ⋮ A new Kaczmarz-type method and its acceleration for nonlinear ill-posed problems ⋮ An accelerated Kaczmarz type method for nonlinear inverse problems in Banach spaces with uniformly convex penalty ⋮ A New Gradient Method for Ill-Posed Problems ⋮ The Averaged Kaczmarz Iteration for Solving Inverse Problems ⋮ A proximal regularized Gauss-Newton-Kaczmarz method and its acceleration for nonlinear ill-posed problems ⋮ An accelerated homotopy-perturbation-Kaczmarz method for solving nonlinear inverse problems ⋮ A projective two-point gradient Kaczmarz iteration for nonlinear ill-posed problems ⋮ On stochastic Kaczmarz type methods for solving large scale systems of ill-posed equations

Uses Software

• PLTMG

Cites Work

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