Error minimizing relaxation strategies in Landweber and Kaczmarz type iterations

DOI10.1515/jiip-2015-0082zbMath1355.65054OpenAlexW2312518938MaRDI QIDQ511032

Tommy Elfving, Mokhtar Abbasi, Touraj Nikazad

Publication date: 14 February 2017

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2015-0082

zbMATH Keywords

tomographyimage reconstruction from projectionsKaczmarz's and Landweber iterationsrelaxation parameters (step size)simultaneous and sequential block algorithmsteepest decent

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (10)

Numerical investigation of Fredholm integral equation of the first kind with noisy data ⋮ A Fast Averaged Kaczmarz Iteration with Convex Penalty for Inverse Problems in Hilbert Spaces ⋮ A new step size rule for the superiorization method and its application in computerized tomography ⋮ Bounded perturbations resilient iterative methods for linear systems and least squares problems: operator-based approaches, analysis, and performance evaluation ⋮ Column-oriented algebraic iterative methods for nonnegative constrained least squares problems ⋮ Choosing the relaxation parameter in sequential block-iterativemethods for linear systems ⋮ The Averaged Kaczmarz Iteration for Solving Inverse Problems ⋮ Notes on flexible sequential block iterative methods ⋮ Projected randomized Kaczmarz methods ⋮ Convergence and Semi-Convergence of a Class of Constrained Block Iterative Methods

Uses Software

• AIR tools
• SNARK09
• SNARK93

Cites Work

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