3 papers
math.NA2024
Greedy randomized Bregman-Kaczmarz method for constrained nonlinear systems of equations
Aqin Xiao, Junfeng Yin
A greedy randomized nonlinear Bregman-Kaczmarz method by sampling the working index with residual information is developed for the solution of the constrained nonlinear system of e…
math.NA2023
On multi-step extended maximum residual Kaczmarz method for solving large inconsistent linear systems
Aqin Xiao, Junfeng Yin, Ning Zheng
A multi-step extended maximum residual Kaczmarz method is presented for the solution of the large inconsistent linear system of equations by using the multi-step iterations techniq…
math.NA2023
On averaging block Kaczmarz methods for solving nonlinear systems of equations
Aqin Xiao, Junfeng Yin
A class of averaging block nonlinear Kaczmarz methods is developed for the solution of the nonlinear system of equations. The convergence theory of the proposed method is establish…