The Averaged Kaczmarz Iteration for Solving Inverse Problems
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Publication:4686928
DOI10.1137/17M1146178zbMath1401.65059arXiv1709.00742WikidataQ57704063 ScholiaQ57704063MaRDI QIDQ4686928
Publication date: 10 October 2018
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.00742
convergence analysisinverse problemsregularization methodtomographyKaczmarz iterationill-posed equationcircular Radon transformsystem of ill-posed equations
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 (10)
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 Fast Data-Driven Iteratively Regularized Method with Convex Penalty for Solving Ill-Posed Problems ⋮ Enhancement of the Kaczmarz algorithm with projection adjustment ⋮ A projective averaged Kaczmarz iteration for nonlinear ill-posed problems ⋮ A new Kaczmarz-type method and its acceleration for nonlinear ill-posed problems ⋮ Accelerated homotopy perturbation iteration method for a non-smooth nonlinear ill-posed problem ⋮ An accelerated homotopy-perturbation-Kaczmarz method for solving nonlinear inverse problems ⋮ A projective two-point gradient Kaczmarz iteration for nonlinear ill-posed problems
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