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math.NA2026
Relaxed Greedy Randomized Kaczmarz with Signal Averaging for Solving Doubly-Noisy Linear Systems
Lu Zhang, Jinchuan Zeng, Hui Zhang
Large-scale linear systems of the form are often doubly-noisy, in the sense that both its measurement matrix and measurement vector are noisy. In this paper, we exte…
math.NA2023★ 2 cited
A Weighted Randomized Sparse Kaczmarz Method for Solving Linear Systems
Lu Zhang, Ziyang Yuan, Hongxia Wang +1
The randomized sparse Kaczmarz method, designed for seeking the sparse solutions of the linear systems , selects the -th projection hyperplane with likelihood proportional…
math.NA2021★ 15 cited
Adaptively Sketched Bregman Projection Methods for Linear Systems
Ziyang Yuan, Lu Zhang, Hongxia Wang +1
The sketch-and-project, as a general archetypal algorithm for solving linear systems, unifies a variety of randomized iterative methods such as the randomized Kaczmarz and randomiz…