Nonlinear Kaczmarz algorithms and their convergence
type: Item
instance of: scholarly article
title: Nonlinear Kaczmarz algorithms and their convergence
zbMATH Open document ID: 1473.65060
author: Qifeng Wang
author: Weiguo Li
author: Wendi Bao
author: Xingqi Gao
published in: Journal of Computational and Applied Mathematics
publication date: 2021-09-01T00:00:00Z
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65J20
zbMATH DE Number: 7389255
zbMATH Keywords: nonlinear system of equations
zbMATH Keywords: randomized Kaczmarz algorithm
zbMATH Keywords: matrix-free
zbMATH Keywords: local tangential cone condition
describes a project that uses: minpack
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113720
OpenAlex ID: W3180969843
cites work: Representations of quasi-Newton matrices and their use in limited memory methods
cites work: Regularization methods in Banach spaces.
cites work: Kaczmarz methods for regularizing nonlinear ill-posed equations. II: Applications
cites work: A randomized Kaczmarz algorithm with exponential convergence
cites work: Q3685085
cites work: Nonlinear successive over-relaxation
cites work: Global convergence of nonlinear successive overrelaxation via linear theory
cites work: Varying relaxation parameters in nonlinear successive overrelaxation
cites work: A computational process for choosing the relaxation parameter in nonlinear SOR
cites work: A system of simultaneous non-linear equations in three-thousand variables
cites work: A convergence-improving iterative method for computing periodic orbits near bifurcation points
cites work: Kaczmarz methods for regularizing nonlinear ill-posed equations. I: Convergence analysis
cites work: A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
cites work: Stochastic gradient descent, weighted sampling, and the randomized Kaczmarz algorithm
cites work: Randomized Kaczmarz solver for noisy linear systems
cites work: A Stochastic Approximation Method
cites work: An Iteration Formula for Fredholm Integral Equations of the First Kind
cites work: Q4841246
cites work: Testing Unconstrained Optimization Software
cites work: Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations
cites work: Q4300051
DOI: 10.1016/J.CAM.2021.113720
description: scientific article; zbMATH DE number 7389255