Nonlinear greedy relaxed randomized Kaczmarz method

DOI10.1016/j.rinam.2022.100340OpenAlexW4309190364MaRDI QIDQ2104163

Li Liu, Weiguo Li, Wen-Di Bao, Li-li Xing

Publication date: 9 December 2022

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2022.100340

zbMATH Keywords

nonlinear equationsrandomized methodgreedy methodrelaxed Kaczmarz method

Mathematics Subject Classification ID

Numerical linear algebra (65Fxx) Equations and inequalities involving nonlinear operators (47Jxx) Numerical analysis in abstract spaces (65Jxx)

Cites Work

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• On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations
• On steepest-descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations
• A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin
• Comments on the randomized Kaczmarz method
• Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
• A new greedy Kaczmarz algorithm for the solution of very large linear systems
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• Nonlinear Kaczmarz algorithms and their convergence
• A note on convergence rate of randomized Kaczmarz method
• Convergence rates for Kaczmarz-type algorithms
• On Greedy Randomized Kaczmarz Method for Solving Large Sparse Linear Systems
• On the Convergence of Stochastic Gradient Descent for Nonlinear Ill-Posed Problems

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