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math.NA2025
A Relaxed Randomized Averaging Block Extended Bregman-Kaczmarz Method for Combined Optimization Problems
Zeyu Dong, Aqin Xiao, Guojian Yin +1
Randomized Kaczmarz-type methods are widely used for their simplicity and efficiency in solving large-scale linear systems and optimization problems. However, their applicability i…
math.NA2025
A fast block nonlinear Bregman-Kaczmarz method with averaging for nonlinear sparse signal recovery
Aqin Xiao, Xiangyu Gao, Jun-Feng Yin
Recovery of a sparse signal from a nonlinear system arises in many practical applications including compressive sensing, image reconstruction and machine learning. In this paper, a…