2 papers
math.NA2024
The sparse Kaczmarz method with surrogate hyperplane for the regularized basis pursuit problem
Ze Wang, Jun-Feng Yin, Ji-Chen Zhao
The Sparse Kaczmarz method is a famous and widely used iterative method for solving the regularized basis pursuit problem. A general scheme of the surrogate hyperplane sparse Kaczm…
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…