On regularization methods of EM-Kaczmarz type

DOI10.1088/0266-5611/25/7/075008zbMath1181.65150arXiv0810.3619OpenAlexW2024372918MaRDI QIDQ5191271

Markus Haltmeier, Elena Resmerita, Antonio Leitão

Publication date: 29 July 2009

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

Full work available at URL: https://arxiv.org/abs/0810.3619

zbMATH Keywords

numerical exampleill-posed problemsFredholm integral operatorsKaczmarz-type methodordered-subsets expectation maximization (OS-EM) algorithm

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05)

Related Items (12)

Convergence analysis of a block iterative version of the loping Landweber-Kaczmarz iteration ⋮ A range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt-Kaczmarz method for solving systems of non-linear ill-posed equations: application to EIT-CEM with real data ⋮ Convergence rates for Kaczmarz-type regularization methods ⋮ Some convergence results of OS-EM algorithm for ill-posed integral equations ⋮ Iterative Solution Methods ⋮ On projective Landweber–Kaczmarz methods for solving systems of nonlinear ill-posed equations ⋮ Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems ⋮ Convergence analysis of an accelerated expectation-maximization algorithm for ill-posed integral equations ⋮ An accelerated homotopy-perturbation-Kaczmarz method for solving nonlinear inverse problems ⋮ A range-relaxed criteria for choosing the Lagrange multipliers in the iterated Tikhonov Kaczmarz method for solving systems of linear ill-posed equations ⋮ Convergence analysis of the loping OS-EM algorithm for noisy data ⋮ On stochastic Kaczmarz type methods for solving large scale systems of ill-posed equations

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