On a stochastic column-block bregman method for nonlinear systems
Numerical Analysis
2026-05-11 v1 Numerical Analysis
Abstract
Sparse solution problems play an important role in both signal processing and image restoration. In this paper, we propose a stochastic column-block nonlinear Bregman method for efficiently computing sparse solutions to nonlinear systems. Under certain assumptions, we analyze the convergence of the proposed method and derive an upper bound for its convergence rate. Numerical experiments, including an image recovery problem, are presented to illustrate the efficiency of the proposed method.
Cite
@article{arxiv.2605.07136,
title = {On a stochastic column-block bregman method for nonlinear systems},
author = {Wendi Bao and Naiyu Jiang and Lili Xing and Weiguo Li},
journal= {arXiv preprint arXiv:2605.07136},
year = {2026}
}